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

arXiv
Authors: Eylee Jung, Mi-Ra Hwang, You Hwan Ju, D. K. Park, Hungsoo Kim, Min-Soo Kim, Jin-Woo Son

Year

2007

Paper ID

50157

Status

Preprint

Abstract Read

~2 min

Abstract Words

80

Citations

N/A

Abstract

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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  • We study a generalized amplitude damping channel when environment is initially in the single-qubit mixed state.

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