Holonomic quantum computation in decoherence-free subspaces

Abstract

We show how to realize, by means of non-abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of decoherence-free subspaces and the fault-tolerance of all-geometric holonomic control. We discuss the implementation of this scheme in the context of quantum information processing using trapped ions and quantum dots.

4 pages, no figures. v2: minor changes. To appear in PRL

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Cited by in corpus (86)

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• Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
• Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm
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• Nonadiabatic geometric quantum computation with parametrically tunable coupling
• Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering
• Implementing universal nonadiabatic holonomic quantum gates with transmons
• Fault-tolerant holonomic quantum computation
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Robust entanglement preparation against noise by controlling spatial indistinguishability
• Nonadiabatic holonomic quantum computation with all-resonant control
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
• Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms
• Superadiabatic Holonomic Quantum Computation in Cavity QED
• On the stability of quantum holonomic gates
• Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
• Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
• Physical implementation of holonomic quantum computation in decoherence-free subspaces with trapped ions
• Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
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• Non-Abelian holonomic transformation in the presence of classical noise
• Fast holonomic quantum computation based on solid-state spins with all-optical control
• Scalable solid-state quantum computation in decoherence-free subspaces with trapped ions
• Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates
• Temperature effects on mixed state geometric phase
• Super-robust nonadiabatic geometric quantum control
• Implementation of holonomic quantum computation through engineering and manipulating environment
• Superrobust Geometric Control of a Superconducting Circuit
• Universal quantum computation in decoherence-free subspaces with hot trapped-ions
• Robustness against parametric noise of non ideal holonomic gates
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• Observation of Entanglement-Dependent Two-Particle Holonomic Phase
• Rabi-error and Blockade-error-resilient All-Geometric Rydberg Quantum Gates
• Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
• Dynamically stabilized decoherence-free states in non-Markovian open fermionic systems
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Decoherence-induced geometric phase in a multilevel atomic system
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Scheme for fault-tolerant holonomic computation on stabilizer codes
• Error Suppression for Hamiltonian Quantum Computing in Markovian Environments
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
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• Geometric quantum gates via dark paths in Rydberg atoms
• Quantum computation in decoherence-free subspace with superconducting devices
• Realization of a holonomic quantum computer in a chain of three-level systems
• Leakage Suppression for Holonomic Quantum Gates
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Engineering of Quantum State by Time-Dependent Decoherence-Free Subspaces
• Berry-phase-based quantum gates assisted by transitionless quantum driving
• Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
• Geometric decoherence in diffusive open quantum systems
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• Protecting logical qubits with dynamical decoupling
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• Decoherence-Insensitive Quantum Communication by Optimal C^*-Encoding
• SpinQ Gemini: a desktop quantum computer for education and research
• Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms
• Holonomy for Quantum Channels
• Extracting an entangled photon pair from collectively decohered pairs at a telecommunication wavelength
• General approach to find steady-state manifolds in Markovian and non-Markovian systems
• Holonomic quantum manipulation in the Weyl Disk
• Entangling power of holonomic gates in atom-cavity systems
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