Negative Quantum Channels

Negative Quantum Channels

James M. McCracken
ISBN: 9781627051842 | PDF ISBN: 9781627051859
Copyright © 2015 | 187 Pages | Publication Date: 06/01/2014

BEFORE YOU ORDER: You may have Academic or Corporate access to this title. Click here to find out: 10.2200/S00583ED1V01Y201406QMC007

Ordering Options: Paperback $50.00   E-book $40.00   Paperback & E-book Combo $62.50

Why pay full price? Members receive 15% off all orders.
Learn More Here

Read Our Digital Content License Agreement (pop-up)

Purchasing Options:

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

Introduction and Definition of Terms
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
Author's Biography

About the Author(s)

James M. McCracken, George Mason University
James M. McCracken received his Physics M.S. studying decoherence in quantum dot qubit structures at the University of Central Florida, and he received two B.S. degrees, one in Physics and one in Astrophysics, from the Florida Institute of Technology. He was a member of both the theoretical quantum computing team at Science Applications International Corporation (SAIC) and the informatics group at the U. S. Naval Research Laboratory in Washington, DC. James is currently a Ph.D. candidate studying time series causality and geomagnetic storm prediction at George Mason University in Fairfax, Virginia.

Related Series

Computer Architecture

Browse by Subject
Case Studies in Engineering
ACM Books
SEM Books
0 items

Note: Registered customers go to: Your Account to subscribe.

E-Mail Address:

Your Name: