Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems

Journal Article · Sat Feb 01 04:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.022319· OSTI ID:20633699

Shiliang, Zhu ^[1]; Wang, Z D ^[1]

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1. Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong (China)

We propose an experimentally feasible scheme to achieve quantum computation based on a pair of orthogonal cyclic states. In this scheme, quantum gates can be implemented based on the total phase accumulated in cyclic evolutions. In particular, geometric quantum computation may be achieved by eliminating the dynamic phase accumulated in the whole evolution. Therefore, both dynamic and geometric operations for quantum computation are workable in the present theory. Physical implementation of this set of gates is designed for NMR systems. Also interestingly, we show that a set of universal geometric quantum gates in NMR systems may be realized in one cycle by simply choosing specific parameters of the external rotating magnetic fields. In addition, we demonstrate explicitly a multiloop method to remove the dynamic phase in geometric quantum gates.

• OSTI ID: 20633699
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
EVOLUTION
GATING CIRCUITS
IMPLEMENTATION
INFORMATION THEORY
MAGNETIC FIELDS
NUCLEAR MAGNETIC RESONANCE
QUANTUM MECHANICS
USES