4.6 Article

Leaks: Quantum, Classical, Intermediate and More

Journal

ENTROPY
Volume 19, Issue 4, Pages -

Publisher

MDPI AG
DOI: 10.3390/e19040174

Keywords

process theory; classical limit; purity

Funding

  1. EPSRC (Engineering and Physical Sciences Research Council) through the Controlled Quantum Dynamics Centre for Doctoral Training
  2. U.S. Air Force Office of Scientific Research
  3. Engineering and Physical Sciences Research Council [EP/K015478/1, EP/I03596X/1, EP/D072786/1, 1374839, EP/I03808X/1] Funding Source: researchfish
  4. EPSRC [EP/D072786/1, EP/I03596X/1, EP/K015478/1, EP/I03808X/1] Funding Source: UKRI

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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.

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