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Negative Quantum Channels

Negative Quantum Channels

Paperback

Series: Synthesis Lectures on Quantum Computing

General ComputersGeneral MathematicsPhysics

ISBN10: 3031013891
ISBN13: 9783031013898
Publisher: Springer
Published: Jul 11 2014
Pages: 171
Weight: 0.73
Height: 0.40 Width: 7.50 Depth: 9.25
Language: English
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

Also from

McCracken, James M.

Also in

General Mathematics