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

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Negative Quantum Channels978-3-031-02517-4Series ISSN 1945-9726 Series E-ISSN 1945-9734
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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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Physical Motivations for Sharp Operations, some point in time, and preparing the reduced system will only leave the bath completely unaffected if the reduced system is isolated. In such cases, there is no need to discuss baths, complete positivity, or sharp operations.
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Introduction and Definition of Terms, These are some of the commonly used notations for this work. Most of the non-standard notation is introduced and explained in dedicated sections of this chapter, but this table is a quick reference for the sets and spaces used throughout.
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Uses for Negative Channels,So far, one of the most important questions about negativity has been completely ignored in this work. Is negativity useful? This section will focus on that question.
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