Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces

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.

6 pages, no figure

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• 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
• Nonadiabatic holonomic quantum computation based on commutation relation
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Non-adiabatic holonomic quantum operations in continuous variable systems
• State-independent geometric quantum gates via nonadiabatic and noncyclic evolution
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
• Geometric and holonomic quantum computation