Proper magnetic fields for nonadiabatic geometric quantum gates in NMR

Journal Article · Mon Sep 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.034304· OSTI ID:20640255

Oshima, Kazuto; Azuma, Koji ^[1]

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1. Gunma National College of Technology, Maebashi 371-8530, (Japan)

In a scheme of nonadiabatic purely geometric quantum gates in nuclear-magnetic-resonance systems we propose proper magnitudes of magnetic fields that are suitable for an experiment. We impose a natural condition and reduce the degree of freedom of the magnetic fields to the extent. By varying the magnetic fields with essentially a one-dimensional degree of freedom, any spin state can acquire an arbitrary purely geometric phase {phi}{sub g}=-2{pi}(1-cos {theta}), 0{<=}cos {theta}{<=}1. This is an essential ingredient for constructing universal geometric quantum gates.

• OSTI ID: 20640255
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
DEGREES OF FREEDOM
GATING CIRCUITS
MAGNETIC FIELDS
NUCLEAR MAGNETIC RESONANCE
ONE-DIMENSIONAL CALCULATIONS
QUANTUM MECHANICS
SPIN