Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering
arXiv:2110.01933 · doi:10.1103/PhysRevResearch.4.013233
Abstract
We propose a protocol to realize nonadiabatic geometric quantum computation of small-amplitude Schrödinger cat qubits via invariant-based reverse engineering. We consider a system with a two-photon driven Kerr nonlinearity, which provides a pair of dressed even and odd coherent states, i.e., Schrödinger cat states for fault-tolerant quantum computations. An additional coherent field is applied to linearly drive a cavity mode, to induce oscillations between dressed cat states. By designing this linear drive with invariant-based reverse engineering, nonadiabatic geometric quantum computation with cat qubits can be implemented. The performance of the protocol is estimated by taking into account the influence of systematic errors, additive white Gaussian noise, and decoherence including photon loss and dephasing. Numerical results demonstrate that our protocol is robust against these negative factors. Therefore, this protocol may provide a feasible method for nonadiabatic geometric quantum computation in bosonic systems.
arXiv comment13 pages, 8 figures, has been published as a Regular Article in Physical Review Research
References in corpus (89)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Mechanics helps in searching for a needle in a haystack
- Quantum computational advantage using photons
- Encoding a qubit in an oscillator
- Superconducting Qubits: Current State of Play
- Quantum Error Correction for Quantum Memories
- Atomic physics and quantum optics using superconducting circuits
- Microwave photonics with superconducting quantum circuits
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Shortcuts to adiabaticity: concepts, methods, and applications
- Holonomic Quantum Computation
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Quantum computation with optical coherent states
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Observation of quantum state collapse and revival due to the single-photon Kerr effect
- Confining the state of light to a quantum manifold by engineered two-photon loss
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- New class of quantum error-correcting codes for a bosonic mode
- Non-adiabatic holonomic quantum computation
- A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
- First Long-Term Application of Squeezed States of Light in a Gravitational-Wave Observatory
- Implementation of universal quantum gates based on nonadiabatic geometric phases
- Experimental Realization of Non-Abelian Geometric Gates
- Fidelity of quantum operations
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Performance and structure of single-mode bosonic codes
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Building a fault-tolerant quantum computer using concatenated cat codes
- Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
- Exponentially-Enhanced Light-Matter Interaction, Cooperativities, and Steady-State Entanglement Using Parametric Amplification
- Robust quantum control by shaped pulse
- Quantum feedback: theory, experiments, and applications
- Bosonic quantum error correction codes in superconducting quantum circuits
- Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled cat States via Parametric Amplification
- Schrodinger cats and their power for quantum information processing
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- Geometric quantum gates robust against stochastic control errors
- Repetition Cat Qubits for Fault-Tolerant Quantum Computation
- 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
- Quantum computing with rotation-symmetric bosonic codes
- Enhancing cavity QED via anti-squeezing: synthetic ultra-strong coupling
- Stabilized Cat in Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector
- Holonomic quantum computation in decoherence-free subspaces
- Generation of discrete superpositions of coherent states in the anharmonic oscillator model
- Gated conditional displacement readout of superconducting qubits
- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Controllable coherent population transfers in superconducting qubits for quantum computing
- Quantum control of bosonic modes with superconducting circuits
- Shortcuts to adiabaticity in three-level systems using Lie transforms
- Error-transparent operations on a logical qubit protected by quantum error correction
- Holonomic quantum control with continuous variable systems
- Hamiltonian engineering via invariants and dynamical algebra
- Generating Large Cats with Nine Lives: Long-Lived Macroscopically Distinct Superposition States in Atomic Ensembles
- Decoherence in a scalable adiabatic quantum computer
- Nonadiabatic holonomic quantum computation with dressed-state qubits
- Quantum dynamics of a few-photon parametric oscillator
- Quantum bits with Josephson junctions
- Preparation of macroscopic quantum superposition states of a cavity field via coupling to a superconducting charge qubit
- NMR experiment factors numbers with Gauss sums
- Pair-cat codes: autonomous error-correction with low-order nonlinearity
- Gauss sum factorization with cold atoms
- Quantum experiments with human eyes as detectors based on cloning via stimulated emission
- Robust manipulation of superconducting qubits in the presence of fluctuations
- Proposal for implementing universal superadiabatic geometric quantum gates in nitrogen-vacancy centers
- Nonadiabatic holonomic quantum computation with all-resonant control
- Holonomic Surface Codes for Fault-Tolerant Quantum Computation
- Composite nonadiabatic holonomic quantum computation
- Purity and State Fidelity of Quantum Channels via Hamiltonians
- Control-free control: manipulating a quantum system using only a limited set of measurements
- Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms
- Learning robust control for generating universal quantum gates
- Arbitrary control of coherent dynamics for distant qubits in a quantum network
- Quantum control of an oscillator using stimulated nonlinearity
- Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
- Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
- Hamiltonian design to prepare arbitrary states of four-level systems
- Factorizing Numbers with the Gauss Sum Technique: NMR Implementations
- Strong Spin Squeezing Induced by Weak Squeezing of Light inside a Cavity
- Proposal to Test Quantum Wave-Particle Superposition on Massive Mechanical Resonators
- Scalable solid-state quantum computation in decoherence-free subspaces with trapped ions
- Nonadiabatic holonomic multiqubit controlled gates
- Quantum circuits for amplification of Kerr nonlinearity via quadrature squeezing
- Controls of a superconducting quantum parametron under a strong pump field
- Accelerating geometric quantum gates through non-cyclic evolution and shortcut to adiabaticity
- Feedback-controlled adiabatic quantum computation
- Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
- Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
- Error-Resilient Floquet Geometric Quantum Computation
Cited by in corpus (31)
- Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
- Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch
- Non-Markovian dynamics with a giant atom coupled to a semi-infinite photonic waveguide
- Coherent control techniques in three-level quantum sensing
- Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits
- High-Coherence Kerr-cat qubit in 2D architecture
- Non-Markovian dynamics with a driven three-level giant atom in a semi-infinite photonic waveguide
- Control of the coupling between Kerr-cat qubits via transmon couplers
- All-optical generation of deterministic squeezed Schrödinger-cat states
- Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
- Machine-learning-inspired quantum optimal control of nonadiabatic geometric quantum computation via reverse engineering
- Thermal-dephasing-tolerant generation of Schrödinger cat states with Rydberg dressed blockade
- High-fidelity and robust controlled-Z gates implemented with Rydberg atoms via echoing rapid adiabatic passage
- Efficient and robust chiral discrimination by invariant-based inverse engineering
- Preparation of high fidelity entangled cat states with composite pulses
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Fast elementary gates for universal quantum computation with Kerr parametric oscillator qubits
- Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
- Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling
- Simultaneous preparation of two optical cat states based on a nondegenerate optical parametric amplifier
- Non-adiabatic holonomic quantum operations in continuous variable systems
- Critical quantum geometric tensors of parametrically-driven nonlinear resonators
- Optimally robust shortcuts to population inversion in cat-state qubits
- Transfer of quantum states and stationary quantum correlations in a hybrid optomechanical network
- Unraveling the switching dynamics in a quantum double-well potential
- Dynamics of a driven open double two-level system and its entanglement generation
- Quantum voting machine encoded with microwave photons
- Assessing the performance of quantum annealing with nonlinear driving
- High-performance conditional-driving gate for Kerr parametric oscillator qubits
- Exact amplitudes of parametric processes in driven Josephson circuits
- Geometric and holonomic quantum computation