Next Article in Journal
Entropy “2”-Soft Classification of Objects
Next Article in Special Issue
Ruling out Higher-Order Interference from Purity Principles
Previous Article in Journal
Multi-Scale Permutation Entropy Based on Improved LMD and HMM for Rolling Bearing Diagnosis
Previous Article in Special Issue
The Many Classical Faces of Quantum Structures
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle
Entropy 2017, 19(4), 174; doi:10.3390/e19040174

Leaks: Quantum, Classical, Intermediate and More

1
Department of Physics, Imperial College London, Kensington, London SW7 2AZ, UK
2
Department of Computer Science, University of Oxford, Oxford OX1 3PA, UK
*
Author to whom correspondence should be addressed.
Academic Editors: Giacomo Mauro D’Ariano and Paolo Perinotti
Received: 26 January 2017 / Revised: 30 March 2017 / Accepted: 12 April 2017 / Published: 19 April 2017
(This article belongs to the Special Issue Quantum Information and Foundations)
View Full-Text   |   Download PDF [335 KB, uploaded 19 April 2017]

Abstract

We introduce the notion of a leak for general process theories and identify quantum theory as a theory with minimal leakage, while classical theory has maximal leakage. We provide a construction that adjoins leaks to theories, an instance of which describes the emergence of classical theory by adjoining decoherence leaks to quantum theory. Finally, we show that defining a notion of purity for processes in general process theories has to make reference to the leaks of that theory, a feature missing in standard definitions; hence, we propose a refined definition and study the resulting notion of purity for quantum, classical and intermediate theories. View Full-Text
Keywords: process theory; classical limit; purity process theory; classical limit; purity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Selby, J.; Coecke, B. Leaks: Quantum, Classical, Intermediate and More. Entropy 2017, 19, 174.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top