Holonomic Quantum Computation

Abstract

We show that the notion of generalized Berry phase i.e., non-abelian holonomy, can be used for enabling quantum computation. The computational space is realized by a $n$-fold degenerate eigenspace of a family of Hamiltonians parametrized by a manifold $\mathcal{M}$. The point of $\mathcal{M}$ represents classical configuration of control fields and, for multi-partite systems, couplings between subsystem. Adiabatic loops in the control $\mathcal{M}$ induce non trivial unitary transformations on the computational space. For a generic system it is shown that this mechanism allows for universal quantum computation by composing a generic pair of loops in $\mathcal{M}.$

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Cited by in corpus (504)

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• Adiabatic Quantum Computing
• Geometric Manipulation of Trapped Ions for Quantum Computation
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• Experimental Realization of Nonadiabatic Holonomic Quantum Computation
• Non-adiabatic holonomic quantum computation
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Detection of Geometric Phases in Superconducting Nanocircuits
• Single-electron current sources: towards a refined definition of ampere
• Implementation of universal quantum gates based on nonadiabatic geometric phases
• Experimental Realization of Non-Abelian Geometric Gates
• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• Virtual Quantum Subsystems
• Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
• Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
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• An Aharonov-Bohm interferometer for determining Bloch band topology
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Scaling of geometric phases close to quantum phase transition in the XY chain
• Geometric Quantum Computation
• Topological invariance and global Berry phase in non-Hermitian systems
• Berry phase for a spin 1/2 in a classical fluctuating field
• Quantum computation with trapped ions in an optical cavity
• Adiabatic approximation in open quantum systems
• Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
• Quantum Computing with NMR
• Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
• Stimulated Raman adiabatic passage in a three-level superconducting circuit
• Geometric quantum gates robust against stochastic control errors
• Holonomic Quantum Control by Coherent Optical Excitation in Diamond
• Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
• Superadiabatic population transfer in a three-level superconducting circuit
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
• An experimental observation of geometric phases for mixed states using NMR interferometry
• Non-Abelian phases, charge pumping, and quantum computation with Josephson junctions
• Geometric quantum computation and multi-qubit entanglement with superconducting charge qubits inside a cavity
• Holonomic quantum computation in decoherence-free subspaces
• Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Quantum Holonomies for Quantum Computing
• Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle
• Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
• Robustness of non-adiabatic holonomic gates
• Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm
• Geometry and response of Lindbladians
• Controllable coherent population transfers in superconducting qubits for quantum computing
• Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Semiconductor-based Geometrical Quantum Gates
• Robustness of non-abelian holonomic quantum gates against parametric noise
• Holonomic quantum computation with neutral atoms
• Experimental determination of the Berry phase in a superconducting charge pump
• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Quantum control of bosonic modes with superconducting circuits
• Optical manipulation of Berry phase in a solid-state spin qubit
• Holonomic quantum control with continuous variable systems
• Critical Property of Geometric Phase in the Dicke Model
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Topological and holonomic quantum computation based on second-order topological superconductors
• Geometric phases in quantum information
• Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems
• Measurement of geometric phase for mixed states using single photon interferometry
• Nonadiabatic holonomic quantum computation with dressed-state qubits
• Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
• Intrinsic geometry of quantum adiabatic evolution and quantum phase transitions
• Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
• Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED
• Entanglement generation in superconducting qubits using holonomic operations
• Nonadiabatic holonomic single-qubit gates in off-resonant $\Lambda$ systems
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• The geometry of entanglement: metrics, connections and the geometric phase
• Prospects for Quantum Computing with an Array of Ultracold Polar Paramagnetic Molecules
• Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems
• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering
• Spin dynamics for bosons in an optical lattice
• Dualities and non-Abelian mechanics
• Realization of holonomic single-qubit operations
• Implementing universal nonadiabatic holonomic quantum gates with transmons
• Measurement scheme of the Berry phase in superconducting circuits
• Fault-tolerant holonomic quantum computation
• A geometric protocol for a robust Majorana magic gate
• Proposal for implementing universal superadiabatic geometric quantum gates in nitrogen-vacancy centers
• Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
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• NISQ Computers: A Path to Quantum Supremacy
• Experimental Realization of $1\to 2$ Asymmetric Phase-Covariant Quantum Cloning
• Spin network quantum simulator
• Experimental implementation of high-fidelity unconventional geometric quantum gates using NMR interferometer
• Mixed state geometric phases, entangled systems, and local unitary transformations
• Quantum computation via Floquet topological edge modes
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Topological Protection and Quantum Noiseless Subsystems
• Nonadiabatic holonomic quantum computation with all-resonant control
• Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of CO Diatomic Molecule
• Adiabatic Gate Teleportation
• Holonomic quantum computation in the presence of decoherence
• Holonomic Surface Codes for Fault-Tolerant Quantum Computation
• Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
• Effect of noise on geometric logic gates for quantum computation
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
• Simulation of many-body interactions by conditional geometric phases
• Geometric Phase and Non-Adiabatic Effects in an Electronic Harmonic Oscillator
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• The twistor geometry of three-qubit entanglement
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• Necessary Condition for the Quantum Adiabatic Approximation
• Non-adiabatic geometrical quantum gates in semiconductor quantum dots
• Superadiabatic Holonomic Quantum Computation in Cavity QED
• Fermion-qudit quantum processors for simulating lattice gauge theories with matter
• Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
• Computing Spin Networks
• Holonomic quantum gates: A semiconductor-based implementation
• On the stability of quantum holonomic gates
• Geometric phase shift in quantum computation using superconducting nanocircuits: nonadiabatic effects
• Nonequilibrium thermodynamics as a gauge theory
• Demonstration of Geometric Landau-Zener Interferometry in a Superconducting Qubit
• Concatenated composite pulses compensating simultaneous systematic errors
• Noncyclic geometric changes of quantum states
• Universal, high-fidelity quantum gates based on superadiabatic, geometric phases on a solid-state spin-qubit at room temperature
• Adiabatic Approximation for weakly open systems
• Fast holonomic quantum computation on superconducting circuits with optimal control
• Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
• Non-Stoquastic Interactions in Quantum Annealing via the Aharonov-Anandan Phase
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• General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
• Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
• Holonomic Quantum Computation with Electron Spins in Quantum Dots
• Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
• High-fidelity and Robust Geometric Quantum Gates that Outperform Dynamical Ones
• Quantum Entanglement in Second-quantized Condensed Matter Systems
• Physical implementation of holonomic quantum computation in decoherence-free subspaces with trapped ions
• Robustness of the adiabatic quantum search
• Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
• Nonadiabatic Geometric Quantum Computation Using A Single-loop Scenario
• Adiabatic Markovian Dynamics
• Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
• Non-Abelian adiabatic geometric transformations in a cold Strontium gas
• Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
• Dissipative Universal Lindbladian Simulation
• Floquet theory of Cooper pair pumping
• Nonadiabatic holonomic quantum computation with Rydberg superatoms
• Optimal multiqubit operations for Josephson charge qubits
• Geometry, robustness, and emerging unitarity in dissipation-projected dynamics
• Nonunitary geometric phases: a qubit coupled to an environment with random noise
• Coherent Control of Quantum Dynamics with Sequences of Unitary Phase-Kick Pulses
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• Geometric phase for open quantum systems and stochastic unravellings
• Geometric phases and quantum phase transitions
• Quantum computation with unknown parameters
• Non-abelian superconducting pumps
• Effective Hamiltonian approach to adiabatic approximation in open systems
• Decoherence of adiabatically steered quantum systems
• Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
• Validity of rotating wave approximation in non-adiabatic holonomic quantum computation
• Environment-assisted holonomic quantum maps
• Berry and Pancharatnam Topological Phases of Atomic and Optical Systems
• Approach to realizing nonadiabatic geometric gates with prescribed evolution paths
• Quantum Holonomies based on the Lorentz-violating tensor background
• Non-Markovian effect on the geometric phase of a dissipative qubit
• Non-Abelian holonomic transformation in the presence of classical noise
• Fast holonomic quantum computation based on solid-state spins with all-optical control
• Decoherence-free dynamical and geometrical entangling phase gates
• The quantum adiabatic search with decoherence in the instantaneous energy eigenbasis
• Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit
• Shortcuts to Adiabaticity for Open Systems in Circuit Quantum Electrodynamics
• Quantum Gates with Controlled Adiabatic Evolutions
• State Preparation on Quantum Computers via Quantum Steering
• Kaluza-Klein description of geometric phases in graphene
• Nonadiabatic holonomic multiqubit controlled gates
• Geometric phases induced in auxiliary qubits by many-body systems near its critical points
• Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model
• Advanced control with a Cooper-pair box: stimulated Raman adiabatic passage and Fock-state generation in a nanomechanical resonator
• Electric nonadiabatic geometric entangling gates on spin qubits
• Geometric phase in dephasing systems
• Fidelity optimization for holonomic quantum gates in dissipative environments
• One Component Dynamical Equation and Noise Induced Adiabaticity
• From quantum circuits to adiabatic algorithms
• Non-Abelian Geometric Quantum Memory with Atomic Ensemble
• A General Setting for Geometric Phase of Mixed States Under an Arbitrary Nonunitary Evolution
• Geometric phase magnetometry using a solid-state spin
• Complete unitary qutrit control in ultracold atoms
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
• Geometric spin echo under zero field
• Robust paths to realize nonadiabatic holonomic gates
• Composite Short-path Nonadiabatic Holonomic Quantum Gates
• Temperature effects on mixed state geometric phase
• HOQST: Hamiltonian Open Quantum System Toolkit
• Eigenstate Tracking in Open Quantum Systems
• Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits
• Geometric Aspects of Composite Pulses
• Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits
• Exchange Gate on the Qudit Space and Fock Space
• Implementation of holonomic quantum computation through engineering and manipulating environment
• Realization of Arbitrary Gates in Holonomic Quantum Computation
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Super-robust nonadiabatic geometric quantum control
• Demonstration of a non-Abelian geometric controlled-Not gate in a superconducting circuit
• Geometric quantum gates with superconducting qubits
• Correction to the geometric phase by structured environments: the onset of non-Markovian effects
• Superrobust Geometric Control of a Superconducting Circuit
• Topological Features in Ion Trap Holonomic Computation
• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• Stability of holonomic quantum computations
• Universal quantum computation by holonomic and nonlocal gates with imperfections
• Designing Robust Unitary Gates: Application to Concatenated Composite Pulse
• Dynamical invariants and nonadiabatic geometric phases in open quantum systems
• Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
• Spin-1/2 particles moving on a 2D lattice with nearest-neighbor interactions can realize an autonomous quantum computer
• The Geometric Phase in Supersymmetric Quantum Mechanics
• Topological phases in adiabatic and nonadiabatic driven systems
• Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling
• Optimal design strategy for non-Abelian geometric phases using Abelian gauge fields based on quantum metric
• Geometric quantum gates in liquid-state NMR based on a cancellation of dynamical phases
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion
• Robustness against parametric noise of non ideal holonomic gates
• Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
• Quasienergy anholonomy and its application to adiabatic quantum state manipulation
• Adiabatic Cluster State Quantum Computing
• Quantum gates with topological phases
• Simulating spin chains using a superconducting circuit: gauge invariance, superadiabatic transport, and broken time-reversal symmetry
• Observation of Entanglement-Dependent Two-Particle Holonomic Phase
• Measurement of a Vacuum-Induced Geometric Phase
• Exact solutions of the isoholonomic problem and the optimal control problem in holonomic quantum computation
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• Effect of intersubsystem coupling on the geometric phase in a bipartite system
• Note on Coherent States and Adiabatic Connections, Curvatures
• Holonomic quantum computation in subsystems
• Entanglement and Berry Phase in a $(3\times 3)-$dimensional Yang-Baxter system
• Topological quantization by controlled paths: application to Cooper pairs pumps
• Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Conceptual aspects of geometric quantum computation
• Non-Abelian geometric phases in ground state Josephson devices
• Uhlmann's geometric phase in presence of isotropic decoherence
• Geometry of mixed states and degeneracy structure of geometric phases for multi-level quantum systems. A unitary group approach
• Direct observation of geometric phases using a three-pinhole interferometer
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• Entanglement in Valence-Bond-Solid States
• Geometric driving of two-level quantum systems
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• Nonadiabatic quantum state engineering driven by fast quench dynamics
• Corrections to the Berry phase in a solid-state qubit due to low-frequency noise
• On The Power Of Coherently Controlled Quantum Adiabatic Evolutions
• Perturbative Formulation and Non-adiabatic Corrections in Adiabatic Quantum Computing Schemes
• An adiabatic Leakage Elimination Operator in experimental framework
• Quantum computation with cold bosonic atoms in an optical lattice
• The non-Abelian geometric phase in the diamond nitrogen-vacancy center
• Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts
• Universal control of quantum subspaces and subsystems
• Concurrence Vectors for Entanglement of High-dimensional Systems
• Refocusing schemes for holonomic quantum computation in presence of dissipation
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Adiabatically steered open quantum systems: Master equation and optimal phase
• Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts
• New anatomy of quantum holonomy
• Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms
• Adiabatic topological quantum computing
• High-fidelity geometric quantum gates with short paths on superconducting circuits
• Superadiabatic theory for Cooper pair pumping under decoherence
• Scheme for fault-tolerant holonomic computation on stabilizer codes
• Geometric quantization of mechanical systems with time-dependent parameters
• Decoherence-induced geometric phase in a multilevel atomic system
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Exact Solutions of Holonomic Quantum Computation
• Highly-Degenerate Photonic Waveguide Structures for Holonomic Computation
• Ground-state geometric quantum computing in superconducting systems
• Quantum independent set problem and non-abelian adiabatic mixing
• Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
• Geometric Quantum Computation on Solid-State Qubits
• Quantum renormalization group approach to geometric phases in spin chains
• Fault-tolerant Holonomic Quantum Computation in Surface Codes
• Non-Markovian Effects on the Geometric Phase
• Quantal interferometry with dissipative internal motion
• Quantum computation using the Aharonov-Casher set up
• Holonomic quantum computing in symmetry-protected ground states of spin chains
• Error Suppression for Hamiltonian Quantum Computing in Markovian Environments
• Non-Abelian Phases from a Quantum Zeno Dynamics
• Robust Charge-based Qubit Encoding
• Error-Resistant Distributed Quantum Computation in Trapped Ion Chain
• Ultrafast Holonomic Quantum Gates
• Robustness of geometric phase under parametric noise
• Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations
• Cheon's anholonomies in Floquet operators
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• Basic Properties of Coherent and Generalized Coherent Operators Revisited
• Quantum entangling power of adiabatically connected hamiltonians
• Detecting unambiguously non-Abelian geometric phases with trapped ions
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness
• Geometric phase of a two-level system in a dissipative environment
• Memory-induced geometric phase in non-Markovian open systems
• Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
• Accelerated super-robust nonadiabatic holonomic quantum gates
• Universal perspective on nonadiabatic quantum control
• Measuring the Aharonov-Anandan phase in photonics
• Experimental realization of noise-induced adiabaticity in nuclear magnetic resonance
• Entanglement dynamics via geometric phases in quantum spin chains
• The vacuum induced Berry phase beyond rotating-wave approximation
• Geometric Phases and Quantum Computations
• Control aspects of holonomic quantum computation
• Feedback control on geometric phase in dissipative two-level systems
• Environmental noise reduction for holonomic quantum gates
• Geometric Manipulation of Ensembles of Atoms on Atom Chip for Quantum Computation
• Non-holonomic Quantum Devices
• Observation of quantum interference as a function of Berry's phase in a complex Hadamard optical network
• Realization of a holonomic quantum computer in a chain of three-level systems
• A Fault-Tolerant Scheme of Holonomic Quantum Computation on Stabilizer Codes with Robustness to Low-weight Thermal Noise
• Alternative scheme for two-qubit conditional phase gate by adiabatic passage under dissipation
• Non-Adiabatic Universal Holonomic Quantum Gates Based on Abelian Holonomies
• Exotic quantum holonomy in Hamiltonian systems
• State-independent Nonadiabatic Geometric Quantum Gates
• Josephson nanocircuit in the presence of linear quantum noise
• Measuring geometric phases of scattering states in nanoscale electronic devices
• Holonomic Gates in Pseudo-Hermitian Quantum Systems
• Nonadiabatic holonomic quantum computation based on commutation relation
• Leakage Suppression for Holonomic Quantum Gates
• Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates
• Geometric quantization of time-dependent completely integrable Hamiltonian systems
• Weyl discs: theoretical prediction
• Mathematical Foundations of Holonomic Quantum Computer
• Superconducting qubit circuit emulation of a vector spin-1/2
• Operational geometric phase for mixed quantum states
• Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Universal quantum gates based on both geometric and dynamic phases in quantum dots
• Nonadiabatic geometric quantum computation with shortened path on superconducting circuits
• Universal non-adiabatic geometric manipulation of pseudo-spin charge qubits
• Feasibility of single-shot realizations of conditional three-qubit gates in exchange-coupled qubit arrays with local control
• Evolution Operator Can Always be Separated into the Product of Holonomy and Dynamic Operators
• A general treatment of geometric phases and dynamical invariants
• Nonadiabatic Holonomic Quantum Computation via Path Optimization
• Universal Robust Geometric Quantum Control via Geometric Trajectory Correction
• Two-qudit topological phase evolution under dephasing
• Topological Quantum Gates in Homotopy Type Theory
• Measuring Berry curvature with quantum Monte Carlo
• Universal quantum computation and quantum error correction using discrete holonomies
• Secular master equation for adiabatically time dependent systems
• Coherent Control with User-Defined Passage
• Scalable universal holonomic quantum computation realized with an adiabatic quantum data bus and potential implementation using superconducting flux qubits
• Vacuum induced Berry phases in single-mode Jaynes-Cummings models
• Geometric entangling gates for coupled cavity system in decoherence-free subspaces
• Control of many electron states in semiconductor quantum dots by non-Abelian vector potentials
• Symmetry-protected adiabatic quantum transistors
• Optical rotation of heavy hole spins by non-Abelian geometrical means
• Dark path holonomic qudit computation
• Berry-phase-based quantum gates assisted by transitionless quantum driving
• Geometric phase accumulated in a driven quantum system coupled to an structured environment
• Universal single-qubit non-adiabatic holonomic quantum gates in optomechanical system
• Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
• Manifestations of quantum holonomy in interferometry
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Geometric Phase in Eigenspace Evolution of Invariant and Adiabatic Action Operators
• Mixed state non-Abelian holonomy for subsystems
• Geometric quantum phase for displaced states for a particle with an induced electric dipole moment
• Simulating dynamical quantum Hall effect with superconducting qubits
• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
• Holonomic implementation of CNOT gate on topological Majorana qubits
• Exotic dynamical evolution in a secant-pulse driven quantum system
• Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
• Phase-space geometric Sagnac interferometer for rotation sensing
• Non-Abelian generalization of off-diagonal geometric phases
• Quantum trajectory approach to the geometric phase: open bipartite systems
• Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential
• Adiabatic graph-state quantum computation
• Nodal free geometric phases: Concept and application to geometric quantum computation
• Entanglement gauge and the non-Abelian geometric phase with two photonic qubits
• Robust Hadamard gate for optical and ion trap holonomic quantum computers
• STIRAP-Inspired Robust Gates for a Superconducting Dual-Rail Qubit
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Off-diagonal geometric phase in composite systems
• Geometrical phases for the G(4,2) Grassmannian manifold
• Demonstrating quantum algorithm acceleration with NMR quantum computer
• Fast high-fidelity geometric gates for singlet-triplet qubits
• Interplay between geometric and dynamic phases in a single spin system
• Chow's theorem and universal holonomic quantum computation
• Ultrafast geometric manipulation of electron spin and detection of the geometric phase via Faraday rotation spectroscopy
• Geometric phase corrected by initial system-environment correlations
• Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain
• Geometric decoherence in diffusive open quantum systems
• Lower bound of minimal time evolution in quantum mechanics
• Cooper pair current in the presence of flux noise
• Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables
• When geometric phases turn topological
• Geometric phase corrections on a moving particle in front of a dielectric mirror
• Tight lower bounds on the time it takes to generate a geometric phase
• Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems
• Grover Speedup from Many Forms of the Zeno Effect
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Geometric Phases of Two Ising-interacting Spins in a Rotating Magnetic Field
• Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations II
• The superconducting circuit companion -- an introduction with worked examples
• Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations
• Quantum Holonomies in Graphene Wormholes
• Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
• Mathematical Structure of Rabi Oscillations in the Strong Coupling Regime
• Geometric vs. Dynamical Gates in Quantum Computing Implementations Using Zeeman and Heisenberg Hamiltonians
• Effect of inter-subsystem couplings on the evolution of composite systems
• Uhlmann holonomy against Lindblad dynamics of topological systems at finite temperatures
• Geometric Phase in Quantum Synchronization
• Semiclassical propagation of spin coherent states
• Open system geometric phase based on system-reservoir joint state evolution
• Geometric phases along quantum trajectories
• Robustness of optimal working points for non-adiabatic holonomic quantum computation
• Effective Hamiltonian theory of the geometric evolution of quantum systems
• Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
• Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling
• Geometric Phase in Entangled Bipartite Systems
• Curves in quantum state space, geometric phases, and the brachistophase
• A simpel and versatile cold-atom simulator of non-Abelian gauge potentials
• Hidden parameters in open-system evolution unveiled by geometric phase
• Fast Evolution of Single Qubit Gate in Non-Adiabatic Geometric Quantum Computing
• All-optical Imprinting of Geometric Phases onto Matter Waves
• Quantum Information Aspects on Bulk and Nano Interacting Fermi System: Spin-Space Density Matrix Approach
• Non-adiabatic holonomic quantum operations in continuous variable systems
• Stellar Representation of Grassmannians
• Protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a quantum-dot loop
• Estimate of the time required to perform a nonadiabatic holonomic quantum computation
• Non-Abelian geometrical control of a qubit in an NV center in diamond
• Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping
• Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms
• Zeno-effect Computation: Opportunities and Challenges
• Differences between quantum and classical adiabatic evolution
• Holonomy for Quantum Channels
• Exact solution of qubit decoherence models by a transfer matrix method
• Geometric phases and cyclic isotropic cosmologies
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Robust pulses for high fidelity non-adiabatic geometric gate operations in an off-resonant three-level system
• Decoherence suppression for oscillator-assisted geometric quantum gates via symmetrization
• Adiabatic theorem for bipartite quantum systems in weak coupling limit
• Nonadiabatic geometric rotation of electron spin in a quantum dot by 2Pi hyperbolic secant pulses
• Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters
• Symmetry-protected non-Abelian geometric phases in optical waveguides with nonorthogonal modes
• Berry-phase induced entanglement of hole-spin qubits in a microwave cavity
• Observable-geometric phases and quantum computation
• Exact solutions for a universal set of quantum gates on a family of iso-spectral spin chains
• Holonomic quantum manipulation in the Weyl Disk
• Dark spin-cats as biased qubits
• Geometric Manipulation of a Decoherence-Free Subspace in Atomic Ensembles
• Geometric phase through spatial potential engineering
• Quantum Holonomy based in a Kaluza-Klein description for defects in $C_{60}$ fullerenes
• Optical control of the complex phase of a quantum ground state amplitude
• Exact solutions for universal holonomic quantum gates
• Entangling power of holonomic gates in atom-cavity systems
• Ultrafast time-scale Berry-phase gates of atomic clock states
• Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
• Non-adiabatic holonomic manipulation of the polariton qubit in circuit QED
• Geometric Phase of a Spin-1/2 Particle Coupled to a Quantum Vector Operator
• Inertial geometric quantum logic gates
• Isoholonomic inequality and tight implementations of holonomic quantum gates
• Adiabatic quantum control hampered by entanglement
• On non-Adiabatic Holonomoic Quantum Computer
• Nonadiabatic braiding of Majorana modes
• Generating nonequilibrium stationary state from ground state condensate through an almost-adiabatic cycle
• Effects of geometry on spin-orbit Kramers states in semiconducting nanorings
• Non-Abelian quantum holonomy of hydrogen-like atoms
• Geometric Phases for Classical and Quantum Dynamics: Hannay angle and Berry Phase for Loops on a Torus
• Simulation of the many-body dynamical quantum Hall effect in an optical lattice
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Solitonic Andreev spin qubits from Andreev states in Corbino Josephson junctions
• Parallel transport in rotating frames and projective holonomic quantum computation
• Time optimal holonomic quantum computation
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
• How pure can we go with adiabatic state manipulation?
• Non-Abelian off-diagonal geometric phases in nano-engineered four-qubit systems
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
• Suppression of effective noise in Hamiltonian simulations
• Geometric phase and gauge theory structure in quantum computing
• Decoherence of quantum gates based on Aharonov-Anandan phases in a multistep scheme
• Quantum effect of inductance on geometric Cooper-pair transport
• Effect of many-body quantum fluctuations on matrix Berry phases of a two-dimensional n-type semiconductor quantum dot
• Deterministic photonic entanglement arising from non-Abelian quantum holonomy
• Mitigation of systematic amplitude error in nonadiabatic holonomic operations
• On Geometric Realization of Quantum Computations in Externally Driven 4-Level System
• Effect of decoherence on the Berry phase of a spin-half in a rotating magnetic field
• Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA
• Families of $d=2$ 2D subsystem stabilizer codes for universal Hamiltonian quantum computation with two-body interactions
• Universal quantum operation of spin-3/2 Blume-Capel chains
• Induced electric dipole moment coupling in Dirac equation
• Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction
• Engineered Robustness for Nonadiabatic Geometric Quantum Gates
• Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond
• Particle-Number Threshold for Non-Abelian Geometric Phases
• Geometric Phases in Majorana Zero-Energy State
• Propagation of Light in an Ensemble of "3+1"-Level Atoms
• Detecting non-Abelian geometric phase in circuit QED
• Noise Effects on the Wilczek-Zee Geometric Phase
• Topological structures of adiabatic phase for multi-level quantum systems
• Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field
• Geometric and holonomic quantum computation