Fault-tolerant holonomic quantum computation

Abstract

We explain how to combine holonomic quantum computation (HQC) with fault tolerant quantum error correction. This establishes the scalability of HQC, putting it on equal footing with other models of computation, while retaining the inherent robustness the method derives from its geometric nature.

published version

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Cited by in corpus (45)

• Experimental Realization of Nonadiabatic Holonomic Quantum Computation
• Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
• 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
• Holonomic quantum control with continuous variable systems
• Geometric phases in quantum information
• Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
• Adiabatic Gate Teleportation
• Geometric Phase Gates with Adiabatic Control in Electron Spin Resonance
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• Adiabatic Markovian Dynamics
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• Non-Abelian holonomic transformation in the presence of classical noise
• Quantum Gates with Controlled Adiabatic Evolutions
• Eigenstate Tracking in Open Quantum Systems
• Adiabatic Cluster State Quantum Computing
• Holonomic quantum computation in subsystems
• Adiabatic topological quantum computing
• Adiabatic Quantum Transistors
• Scheme for fault-tolerant holonomic computation on stabilizer codes
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Realization of Geometric Landau-Zener-Stückelberg Interferometry
• Fault-tolerant Holonomic Quantum Computation in Surface Codes
• Highly-Degenerate Photonic Waveguide Structures for Holonomic Computation
• Holonomic quantum computing in symmetry-protected ground states of spin chains
• Error Suppression for Hamiltonian Quantum Computing in Markovian Environments
• A Fault-Tolerant Scheme of Holonomic Quantum Computation on Stabilizer Codes with Robustness to Low-weight Thermal Noise
• Holonomic Gates in Pseudo-Hermitian Quantum Systems
• Making Classical Ground State Spin Computing Fault-Tolerant
• Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Symmetry-protected adiabatic quantum transistors
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• Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
• Uhlmann holonomy against Lindblad dynamics of topological systems at finite temperatures
• Stellar Representation of Grassmannians
• SpinQ Gemini: a desktop quantum computer for education and research
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• Topics in quantum information and the theory of open quantum systems
• Quantum teleportation in the commuting operator framework
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• Geometric and holonomic quantum computation
• Families of $d=2$ 2D subsystem stabilizer codes for universal Hamiltonian quantum computation with two-body interactions