Universal, high-fidelity quantum gates based on superadiabatic, geometric phases on a solid-state spin-qubit at room temperature

Abstract

Geometric phases and holonomies (their non-commuting generalizations) are a promising resource for the realization of high-fidelity quantum operations in noisy devices, due to their intrinsic fault-tolerance against noise and experimental imperfections. Despite their conceptual appeal and proven fault-tolerance, for a long time their practical use in quantum computing was limited to proof of principle demonstrations. Only in 2012 Sjöqvist et al. formulated a strategy to generate non-Abelian (i.e. holonomic) quantum gates through non-adiabatic transformation. Successful experimental demonstrations of this concept followed on various physical qubit systems and proved the feasibility of this fast, holonomic quantum gate concept. Despite these successes, the experimental implementation of such non-Abelian quantum gates remains experimentally challenging since in general the emergence of a suitable holonomy requires encoding of the logical qubit within a three (or higher) level system being driven by two (or more) control fields. A very recent proposal by Liang et al. offers an elegant solution generating a non-Abelian, geometric quantum gate on a simple, two-level system driven by one control field. Exploiting the concept of transitionless quantum driving it allows the generation of universal geometric quantum gates through superadiabatic evolution. This concept thus generates fast and robust phase-based quantum gates on the basis of minimal experimental resources. Here, we report on the first such implementation of a set of non-commuting single-qubit superadiabatic geometric quantum gates on the electron spin of the negatively charged nitrogen vacancy center in diamond. The realized quantum gates combine high-fidelity and fast quantum gate performance. This provides a promising and powerful tool for large-scale quantum computing under realistic, noisy experimental conditions.

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Cited by in corpus (23)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
• Introduction to Quantum Optimal Control for Quantum Sensing with Nitrogen-Vacancy Centers in Diamond
• Robust and highly-efficient discrimination of chiral molecules through three-mode parallel paths
• Accelerating geometric quantum gates through non-cyclic evolution and shortcut to adiabaticity
• Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• Atom-Orbital Qubits under Holonomic Quantum Control
• Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates
• Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
• Reverse engineering of one-qubit filter functions with dynamical invariants
• Universal Robust Geometric Quantum Control via Geometric Trajectory Correction
• Robustness of controlled Hamiltonian approaches to unitary quantum gates
• Complementarity between quantum entanglement, geometrical and dynamical appearances in N spin-$1/2$ system under all-range Ising model
• Geometric Phase in Quantum Synchronization
• Transitionless quantum driving in spin echo
• Non-adiabatic holonomic quantum operations in continuous variable systems
• Optimizing resetting of superconducting qubits
• Ultrafast time-scale Berry-phase gates of atomic clock states
• iSWAP-type geometric gates induced by paths on Schmidt sphere
• Decoherence mitigation for geometric quantum computation
• Geometric and holonomic quantum computation
• Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA