Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity

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.

7 pages, 5 figures, accepted by Frontiers of Physics

References in corpus (14)

• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Fast population transfer engineering of three-level systems
• Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Composite nonadiabatic holonomic quantum computation
• 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
• Non-Abelian holonomic transformation in the presence of classical noise
• 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

Cited by in corpus (4)

• Composite Short-path Nonadiabatic Holonomic Quantum Gates
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
• Fast quantum state transfer and entanglement for cavity-coupled many qubits via dark pathways