Effect of noise on geometric logic gates for quantum computation

Preprint

10 February 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0105006

Abstract

We introduce the non-adiabatic, or Aharonov-Anandan, geometric phase as a tool for quantum computation and show how it could be implemented with superconducting charge qubits. While it may circumvent many of the drawbacks related to the adiabatic (Berry) version of geometric gates, we show that the effect of fluctuations of the control parameters on non-adiabatic phase gates is more severe than for the standard dynamic gates. Similarly, fluctuations also affect to a greater extent quantum gates that use the Berry phase instead of the dynamic phase.

Keywords

QUANTUM COMPUTATION
AHARONOV ANANDAN
GEOMETRIC LOGIC
SUPERCONDUCTING
DYNAMIC PHASE
QUANTUM GATES
LOGIC GATES
BERRY

All Related Versions

Version 1, 2001-05-02, ArXiv
Version 2, 2002-06-28, ArXiv
Version 3, 2003-02-10, ArXiv
Published version: Physical Review A, 67 (1), 012308.

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