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Negative Quantum Channels, Paperback / softback Book

Negative Quantum Channels Paperback / softback

Part of the Synthesis Lectures on Quantum Computing series

Paperback / softback

Description

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

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