Negative Quantum Channels (Synthesis Lectures on Quantum Computing)

McCracken, James M.

Springer International Publishing AG（2014/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 171 p.
• 言語 ENG
• 商品コード 9783031013898

Full 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

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 .