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Geometric quantum computation using nuclear magnetic resonance

Author

Listed:
  • Jonathan A. Jones

    (Centre for Quantum Computation, Clarendon Laboratory
    Oxford Centre for Molecular Sciences, New Chemistry Laboratory)

  • Vlatko Vedral

    (Centre for Quantum Computation, Clarendon Laboratory)

  • Artur Ekert

    (Centre for Quantum Computation, Clarendon Laboratory)

  • Giuseppe Castagnoli

    (Elsag, Via Puccini 2)

Abstract

A significant development in computing has been the discovery1 that the computational power of quantum computers exceeds that of Turing machines. Central to the experimental realization of quantum information processing is the construction of fault-tolerant quantum logic gates. Their operation requires conditional quantum dynamics, in which one sub-system undergoes a coherent evolution that depends on the quantum state of another sub-system2; in particular, the evolving sub-system may acquire a conditional phase shift. Although conventionally dynamic in origin, phase shifts can also be geometric3,4. Conditional geometric (or ‘Berry’) phases depend only on the geometry of the path executed, and are therefore resilient to certain types of errors; this suggests the possibility of an intrinsically fault-tolerant way of performing quantum gate operations. Nuclear magnetic resonance techniques have already been used to demonstrate both simple quantum information processing5,6,7,8,9 and geometric phase shifts10,11,12. Here we combine these ideas by performing a nuclear magnetic resonance experiment in which a conditional Berry phase is implemented, demonstrating a controlled phase shift gate.

Suggested Citation

  • Jonathan A. Jones & Vlatko Vedral & Artur Ekert & Giuseppe Castagnoli, 2000. "Geometric quantum computation using nuclear magnetic resonance," Nature, Nature, vol. 403(6772), pages 869-871, February.
    • Handle: RePEc:nat:nature:v:403:y:2000:i:6772:d:10.1038_35002528
    DOI: 10.1038/35002528
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    Cited by:

    1. Berrada, K. & Sabik, A. & Khalil, E.M. & Abdel-Khalek, S., 2024. "Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Ievgen I. Arkhipov & Adam Miranowicz & Fabrizio Minganti & Şahin K. Özdemir & Franco Nori, 2023. "Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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