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

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发表于 2025-3-21 17:25:55 | 显示全部楼层 |阅读模式
书目名称Negative Quantum Channels
编辑James M. McCracken
视频video
丛书名称Synthesis Lectures on Quantum Computing
图书封面Titlebook: Negative Quantum Channels;  James M. McCracken Book 2014 Springer Nature Switzerland AG 2014
描述This book is a brief introduction to negative quantum channels, i.e., linear, trace-preserving (and consistent) quantum maps that are not completely positive. The flat and sharp operators are introduced and explained. Complete positivity is presented as a mathematical property, but it is argued that complete positivity is not a physical requirement of all quantum operations. Negativity, a measure of the lack of complete positivity, is proposed as a tool for empirically testing complete positivity assumptions.Table of Contents: Preface / Acknowledgments / Introduction and Definition of Terms / Tomography / Non-Positive Reduced Dynamics / Complete Positivity / Physical Motivation of Complete Positivity / Measures of Complete Positivity / Negative Channels / Negative Climates with Diagonal Composite Dynamics / Rabi Channels / Physical Motivations for Sharp Operations / Negative Qubit Channel Examples with Multi-Qubit Baths / Proposed Experimental Demonstration of Negativity / Implications of Negative Channels / Uses for Negative Channels / Conclusions / Bibliography / Author‘s Biography
出版日期Book 2014
版次1
doihttps://doi.org/10.1007/978-3-031-02517-4
isbn_softcover978-3-031-01389-8
isbn_ebook978-3-031-02517-4Series ISSN 1945-9726 Series E-ISSN 1945-9734
issn_series 1945-9726
copyrightSpringer Nature Switzerland AG 2014
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发表于 2025-3-21 22:03:31 | 显示全部楼层
Proposed Experimental Demonstration of Negativity,ead to non-zero negativities, but no such considerations were given to the gedanken experiments presented in the previous sections. Hence, the negativity of those example channels cannot be a product of such experimental error.
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Tomography, several different things, including quantum state tomography, quantum process tomography, and quantum measurement tomography. In each case, the object being modeled is different, but the basic idea is the same.
发表于 2025-3-22 09:55:56 | 显示全部楼层
Negative Qubit Channel Examples with Multi-Qubit Baths,scribed in the previous section. The entire system might be cooled to the ground state |0〉 〈0| except for two qubits that somehow manage to remain maximally entangled. Preparation of the reduced system in the “preparation by measurement” manner described in the previous section could then result in this sharp operation.
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1945-9726 mpletely positive. The flat and sharp operators are introduced and explained. Complete positivity is presented as a mathematical property, but it is argued that complete positivity is not a physical requirement of all quantum operations. Negativity, a measure of the lack of complete positivity, is p
发表于 2025-3-22 23:17:14 | 显示全部楼层
Complete Positivity,tor 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 viewpoint. This chapter will conclude with the introduction of the negativity, which will be our primary tool for identifying negative channels.
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