Controlled-not gate with weakly coupled qubits: Dependence of fidelity on the form of interaction

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.052340· OSTI ID:21408810

Ghosh, Joydip; Geller, Michael R ^[1]

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1. Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30602 (United States)

An approach to the construction of the controlled-not quantum logic gate for a four-dimensional coupled-qubit model with weak but otherwise arbitrary coupling has been given recently [M. R. Geller et al., Phys. Rev. A 81, 012320 (2010)]. How does the resulting fidelity depend on the form of qubit-qubit coupling? In this paper we calculate intrinsic fidelity curves (fidelity in the absence of decoherence versus total gate time) for a variety of qubit-qubit interactions, including the commonly occurring isotropic Heisenberg and XY models, as well as randomly generated ones. For interactions not too close to that of the Ising model, we find that the fidelity curves do not significantly depend on the form of the interaction, and we calculate the resulting interaction-averaged fidelity curve for the non-Ising-like cases and a criterion for determining its applicability.

• OSTI ID: 21408810
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING
CRYSTAL MODELS
DIAGRAMS
FOUR-DIMENSIONAL CALCULATIONS
INFORMATION
INTERACTIONS
ISING MODEL
MATHEMATICAL MODELS
QUANTUM INFORMATION
QUBITS