EAN: 9783031013898

SYNTHESIS LECTURES ON QUANTUM COMPUTING NEGAT...

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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