McCracken, James M.
Negative Quantum Channels [electronic resource] / by James M. McCracken. - 1st ed. 2014. - XVI, 171 p. online resource. - Synthesis Lectures on Quantum Computing, 1945-9734 . - Synthesis Lectures on Quantum Computing, .
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.
9783031025174
10.1007/978-3-031-02517-4 doi
Mathematics.
Quantum computers.
Quantum physics.
Mathematics.
Quantum Computing.
Quantum Physics.
QA1-939
510
Negative Quantum Channels [electronic resource] / by James M. McCracken. - 1st ed. 2014. - XVI, 171 p. online resource. - Synthesis Lectures on Quantum Computing, 1945-9734 . - Synthesis Lectures on Quantum Computing, .
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.
9783031025174
10.1007/978-3-031-02517-4 doi
Mathematics.
Quantum computers.
Quantum physics.
Mathematics.
Quantum Computing.
Quantum Physics.
QA1-939
510