Titlebook: Negative Quantum Channels; James M. McCracken Book 2014 Springer Nature Switzerland AG 2014

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Complete Positivity,shown that reduced dynamics can always be written as a sum of operators, but only completely positive reduced dynamics can be written as a Kraus operator sum. We will briefly discuss the claim that complete positivity is a physical requirement of nature, and we will point out some problems with this

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Physical Motivation of Complete Positivity,. As always, rigorous experiments are required to test the complete positivity assumption of quantum operations, but as far as we are aware, no such experiments have yet been conducted.. Until such experiments are performed, we are left with a mathematical theory that seems to allow negative channel

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Measures of Complete Positivity,simple conditions. If the composite dynamics are described by “local unitaries” or if the initial composite state has “zero discord,” then completely positive dynamics are guaranteed. These proofs are shown below. Other cases require directly testing the system for complete positivity.

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Negative Climates with Diagonal Composite Dynamics,mate describes a two qubit composite system undergoing diagonal unitary composite dynamics with a sharp operation that prepares the bath in some unitary rotation of the reduced system. The composite dynamics may not be in local unitary form, and the sharp operation does not lead to completely positi

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Conclusions,ed to better understand how modern quantum information theory concepts can be implemented and tested in the lab. A complete theory of quantum information must necessarily include an understanding of negative channels. Negative channels can be created in the lab, and the degree to which a channel is