Quantum NOT operation and integrability in two-level systems

Journal Article · Sun Apr 15 00:00:00 EDT 2007 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2007.01.001· OSTI ID:20976743

Angelo, R M ^[1]; Wreszinski, W F ^[2]

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1. Universidade Federal do Parana, Departamento de Fisica, Caixa Postal 19044, Curitiba 81531 990, PR (Brazil)
2. Universidade de Sao Paulo, Instituto de Fisica, Caixa Postal 66318, Sao Paulo 05315 970, SP (Brazil)

We demonstrate the surprising integrability of the classical Hamiltonian associated to a spin 1/2 system under periodic external fields. The one-qubit rotations generated by the dynamical evolution is, on the one hand, close to that of the rotating wave approximation (RWA), on the other hand to two different 'average' systems, according to whether a certain parameter is small or large. Of particular independent interest is the fact that both the RWA and the averaging theorem are seen to hold well beyond their expected region of validity. Finally, we determine conditions for the realization of the quantum NOT operation by means of classical stroboscopic maps.

• OSTI ID: 20976743
• Journal Information: Annals of Physics (New York), Vol. 322, Issue 4; Other Information: DOI: 10.1016/j.aop.2007.01.001; PII: S0003-4916(07)00003-6; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
EVOLUTION
HAMILTONIANS
INFORMATION THEORY
PERIODICITY
QUANTUM MECHANICS
QUBITS
SPIN