Amplitude Damping for single-qubit System with single-qubit mixed-state Environment

Details Amplitude Damping for single-qubit System with single-qubit mixed-state Environment Amplitude Damping for single-qubit System with single-qubit mixed-state Environment

2007-05-27

arxiv.org/abs/0705.3952v3

J. Phys. A: Math. and Theor. 41 (2008) 045306

Physics

Quantum Physics

13 pages, 2 figures incluided V2: homepage address is included in reference V3: version to appear in J. Phys. A: Mathematical

Scientific paper

10.1088/1751-8113/41/4/045306

We study a generalized amplitude damping channel when environment is initially in the single-qubit mixed state. Representing the affine transformation of the generalized amplitude damping by a three-dimensional volume, we plot explicitly the volume occupied by the channels simulatable by a single-qubit mixed-state environment. As expected, this volume is embedded in the total volume by the channels which is simulated by two-qubit enviroment. The volume ratio is approximately 0.08 which is much smaller than 3/8, the volume ratio for generalized depolarizing channels.

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