Journal
ENTROPY
Volume 19, Issue 4, Pages -Publisher
MDPI AG
DOI: 10.3390/e19040174
Keywords
process theory; classical limit; purity
Categories
Funding
- EPSRC (Engineering and Physical Sciences Research Council) through the Controlled Quantum Dynamics Centre for Doctoral Training
- U.S. Air Force Office of Scientific Research
- Engineering and Physical Sciences Research Council [EP/K015478/1, EP/I03596X/1, EP/D072786/1, 1374839, EP/I03808X/1] Funding Source: researchfish
- 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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