Dynamical-decoupling-protected nonadiabatic holonomic quantum computation

Abstract

The main obstacles to the realization of high-fidelity quantum gates are the control errors arising from inaccurate manipulation of a quantum system and the decoherence caused by the interaction between the quantum system and its environment. Nonadiabatic holonomic quantum computation allows for high-speed implementation of whole-geometric quantum gates, making quantum computation robust against control errors. Dynamical decoupling provides an effective method to protect quantum gates against environment-induced decoherence, regardless of collective decoherence or independent decoherence. In this paper, we put forward a protocol of nonadiabatic holonomic quantum computation protected by dynamical decoupling . Due to the combination of nonadiabatic holonomic quantum computation and dynamical decoupling, our protocol not only possesses the intrinsic robustness against control errors but also protects quantum gates against environment-induced decoherence.

7 pages, no figure

References in corpus (47)

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Quantum Mechanics helps in searching for a needle in a haystack
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Holonomic Quantum Computation
• Geometric quantum computation with NMR
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Geometric phases for mixed states in interferometry
• Experimental Realization of Nonadiabatic Holonomic Quantum Computation
• Non-adiabatic holonomic quantum computation
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Implementation of universal quantum gates based on nonadiabatic geometric phases
• Experimental Realization of Non-Abelian Geometric Gates
• Universal Control of Decoupled Quantum Systems
• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• Non-adiabatic conditional geometric phase shift with NMR
• Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
• A practical scheme for quantum computation with any two-qubit entangling gate
• 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
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Robustness of non-adiabatic holonomic gates
• Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
• 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
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Nonadiabatic holonomic quantum computation with all-resonant control
• Composite nonadiabatic holonomic quantum computation
• The spin-$\frac{1}{2}$ XXZ chain system Cs${}_2$CoCl${}_4$ in a transverse magnetic field
• Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
• 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
• Nonadiabatic holonomic quantum computation with Rydberg superatoms
• Path-shortening realizations of nonadiabatic holonomic gates
• Environment-assisted holonomic quantum maps
• Validity of rotating wave approximation in non-adiabatic holonomic quantum computation
• Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit
• Global entanglement in XXZ chains
• Nonadiabatic holonomic multiqubit controlled gates
• Electric nonadiabatic geometric entangling gates on spin qubits
• Robust paths to realize nonadiabatic holonomic gates
• Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
• Realization of a holonomic quantum computer in a chain of three-level systems

Cited by in corpus (11)

• Doubly geometric quantum control
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Geometric quantum gates via dark paths in Rydberg atoms
• Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling
• Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
• Non-adiabatic holonomic quantum operations in continuous variable systems
• One-step implementation of nonadiabatic geometric fSim gate in superconducting circuits
• Higher-order protection of quantum gates: Hamiltonian engineering coordinated with dynamical decoupling
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
• Geometric and holonomic quantum computation
• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control