Kraus representation of damped harmonic oscillator and its application

Details Kraus representation of damped harmonic oscillator and its application Kraus representation of damped harmonic oscillator and its application

2004-07-30

arxiv.org/abs/quant-ph/0407263v2

Phys. Rev. A 70, 042308 (2004)

Physics

Quantum Physics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevA.70.042308

By definition, the Kraus representation of a harmonic oscillator suffering from the environment effect, modeled as the amplitude damping or the phase damping, is directly given by a simple operator algebra solution. As examples and applications, we first give a Kraus representation of a single qubit whose computational basis states are defined as bosonic vacuum and single particle number states. We further discuss the environment effect on qubits whose computational basis states are defined as the bosonic odd and even coherent states. The environment effects on entangled qubits defined by two different kinds of computational basis are compared with the use of fidelity.

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