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Negative Quantum Channels / by James M. McCracken.
- Format:
- Book
- Author/Creator:
- McCracken, James M., Author.
- Series:
- Synthesis Lectures on Quantum Computing, 1945-9734
- Language:
- English
- Subjects (All):
- Mathematics.
- Quantum computers.
- Quantum theory.
- Quantum Computing.
- Quantum Physics.
- Local Subjects:
- Mathematics.
- Quantum Computing.
- Quantum Physics.
- Physical Description:
- 1 online resource (XVI, 171 p.)
- Edition:
- 1st ed. 2014.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2014.
- System Details:
- Mode of access: World Wide Web.
- Summary:
- 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 .
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9783031025174
- 3031025172
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