Negative Quantum Channels (Paperback)

James M. McCracken

Series: Synthesis Lectures on Quantum Computing

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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

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Synthesis Lectures on Quantum Computing
Release date:	July 2014
First published:	2014
Authors:	James M. McCracken
Dimensions:	235 x 191mm (L x W)
Format:	Paperback
Pages:	171
ISBN-13:	978-3-03-101389-8
Languages:	English
Subtitles:	English
Categories:	Books > Science & Mathematics > Mathematics > General Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General Promotions
LSN:	3-03-101389-1
Barcode:	9783031013898