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Negative Quantum Channels [electronic resource] / by James M. McCracken.

By: McCracken, James M [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Quantum Computing: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Edition: 1st ed. 2014.Description: XVI, 171 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031025174.Subject(s): Mathematics | Quantum computers | Quantum physics | Mathematics | Quantum Computing | Quantum PhysicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 510 Online resources: Click here to access online
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 .
In: Springer Nature eBookSummary: 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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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 .

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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