Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
arXiv:2105.13912 · doi:10.1007/s11467-021-1087-4
Abstract
High-fidelity quantum gates are essential for large-scale quantum computation. However, any quantum manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target quantum task. Therefore, implementing high-fidelity, robust and fast quantum gates is highly desired. Here, we propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum computation based on resonant interaction of three-level quantum systems via shortcuts to adiabaticity. In our proposal, the target Hamiltonian to induce noncyclic non-Abelian geometric phases can be inversely engineered with less evolution time and demanding experimentally, leading to high-fidelity quantum gates in a simple setup. Besides, our scheme is readily realizable in physical system currently pursued for implementation of quantum computation. Therefore, our proposal represents a promising way towards fault-tolerant geometric quantum computation.
arXiv comment7 pages, 5 figures, accepted by Frontiers of Physics
References in corpus (51)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Non-adiabatic holonomic quantum computation
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Experimental Realization of Non-Abelian Geometric Gates
- Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
- Fast population transfer engineering of three-level systems
- Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
- Plug-and-Play Approach to Non-adiabatic Geometric Quantum Gates
- 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
- Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
- Geometric quantum computation and multi-qubit entanglement with superconducting charge qubits inside a cavity
- Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle
- Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits
- Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
- Robustness of non-abelian holonomic quantum gates against parametric noise
- Cost of counterdiabatic driving and work output
- Single-loop multiple-pulse nonadiabatic holonomic quantum gates
- Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
- Nonadiabatic holonomic quantum computation with dressed-state qubits
- 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
- Implementing universal nonadiabatic holonomic quantum gates with transmons
- Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
- Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
- Nonadiabatic holonomic quantum computation with all-resonant control
- Holonomic Surface Codes for Fault-Tolerant Quantum Computation
- Composite nonadiabatic holonomic quantum computation
- Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
- Energetic cost of quantum control protocols
- Superadiabatic Holonomic Quantum Computation in Cavity QED
- Fast holonomic quantum computation on superconducting circuits with optimal control
- High-fidelity and Robust Geometric Quantum Gates that Outperform Dynamical Ones
- Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
- Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
- Path-shortening realizations of nonadiabatic holonomic gates
- Invariant-based inverse engineering for fluctuation transfer between membranes in an optomechanical cavity system
- Environment-assisted holonomic quantum maps
- Non-Abelian holonomic transformation in the presence of classical noise
- Nonadiabatic geometric quantum computation with optimal control on superconducting circuits
- Nonadiabatic holonomic quantum computation on coupled transmons with ancillaries
- Robustness against parametric noise of non ideal holonomic gates
- Dynamical decoupling of a geometric qubit
- Fast and robust creation of an arbitrary single qubit state by nonadiabatic shortcut pulses in a three-level system
- Fault-tolerant Holonomic Quantum Computation in Surface Codes
- Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice
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- Fast quantum state transfer and entanglement for cavity-coupled many qubits via dark pathways
- Highly efficient charging and discharging of three-level quantum batteries through shortcuts to adiabaticity