Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
arXiv:1706.02967 · doi:10.1103/PhysRevA.95.062310
Abstract
Nonadiabatic holonomic quantum computation in decoherence-free subspaces has attracted increasing attention recently, as it allows for high-speed implementation and combines both the robustness of holonomic gates and the coherence stabilization of decoherence-free subspaces. Since the first protocol of nonadiabatic holonomic quantum computation in decoherence-free subspaces, a number of schemes for its physical implementation have been put forward. However, all previous schemes require two noncommuting gates to realize an arbitrary one-qubit gate, which doubles the exposure time of gates to error sources as well as the resource expenditure. In this paper, we propose an alternative protocol for nonadiabatic holonomic quantum computation in decoherence-free subspaces, in which an arbitrary one-qubit gate in decoherence-free subspaces is realized by a single-shot implementation. The present protocol not only maintains the merits of the original protocol, but also avoids the extra work of combining two gates to implement an arbitrary one-qubit gate and thereby reduces the exposure time to various error sources.
arXiv comment6 pages, no figure
References in corpus (35)
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Quantum Mechanics helps in searching for a needle in a haystack
- Decoherence Free Subspaces for Quantum Computation
- Noiseless Quantum Codes
- Holonomic Quantum Computation
- Geometric quantum computation with NMR
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Preserving coherence in quantum computation by pairing quantum bits
- 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
- 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
- Spin-Electric Coupling in Molecular Magnets
- Effective spin systems in coupled micro-cavities
- Exotic quantum spin models in spin-orbit-coupled Mott insulators
- Holonomic quantum computation in decoherence-free subspaces
- Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
- Robustness of non-adiabatic holonomic gates
- Spin electric effects in molecular antiferromagnets
- Nonadiabatic holonomic quantum computation with dressed-state qubits
- Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED
- Long-distance spin-spin coupling via floating gates
- Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
- Nonadiabatic holonomic single-qubit gates in off-resonant systems
- Proposal for implementing universal superadiabatic geometric quantum gates in nitrogen-vacancy centers
- Nonadiabatic holonomic quantum computation with all-resonant control
- Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
- Validity of rotating wave approximation in non-adiabatic holonomic quantum computation
- Non-Abelian holonomic transformation in the presence of classical noise
- Non-Abelian geometric phases in a system of coupled quantum bits
- Realization of a holonomic quantum computer in a chain of three-level systems
Cited by in corpus (33)
- Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
- Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
- Nonadiabatic geometric quantum computation with parametrically tunable coupling
- Implementing universal nonadiabatic holonomic quantum gates with transmons
- Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
- Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms
- Fast holonomic quantum computation on superconducting circuits with optimal control
- General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
- Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
- Nonadiabatic holonomic quantum computation with Rydberg superatoms
- Path-shortening realizations of nonadiabatic holonomic gates
- Environment-assisted holonomic quantum maps
- Fast holonomic quantum computation based on solid-state spins with all-optical control
- Nonadiabatic holonomic multiqubit controlled gates
- Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
- Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
- Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
- Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts
- High-fidelity geometric quantum gates with short paths on superconducting circuits
- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
- Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
- Nonadiabatic holonomic quantum computation based on commutation relation
- Universal Dissipationless Dynamics in Gaussian Continuous-variable Open Systems
- Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
- Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
- Error-Resilient Floquet Geometric Quantum Computation
- Non-adiabatic holonomic quantum operations in continuous variable systems
- Entangling power of holonomic gates in atom-cavity systems
- State-independent geometric quantum gates via nonadiabatic and noncyclic evolution
- Speeding up adiabatic holonomic quantum gates via -pulse modulation
- Geometric and holonomic quantum computation
- Scalable star-shape architecture for universal spin-based nonadiabatic holonomic quantum computation