The Measure Aspect of Quantum Uncertainty, of Entanglement, and the Associated Entropies
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00547337" target="_blank" >RIV/61389005:_____/21:00547337 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3390/quantum3030035" target="_blank" >https://doi.org/10.3390/quantum3030035</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/quantum3030035" target="_blank" >10.3390/quantum3030035</a>
Alternative languages
Result language
angličtina
Original language name
The Measure Aspect of Quantum Uncertainty, of Entanglement, and the Associated Entropies
Original language description
Indeterminacy associated with the probing of a quantum state is commonly expressed through spectral distances (metric) featured in the outcomes of repeated experiments. Here, we express it as an effective amount (measure) of distinct outcomes instead. The resulting µ-uncertainties are described by the effective number theory whose central result, the existence of a minimal amount, leads to a well-defined notion of intrinsic irremovable uncertainty. We derive µ-uncertainty formulas for arbitrary set of commuting operators, including the cases with continuous spectra. The associated entropy-like characteristics, the µ-entropies, convey how many degrees of freedom are effectively involved in a given measurement process. In order to construct quantum µ-entropies, we are led to quantum effective numbers designed to count independent, mutually orthogonal states effectively comprising a density matrix. This concept is basis-independent and leads to a measure-based characterization of entanglement.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Quantum Reports
ISSN
2624-960X
e-ISSN
2624-960X
Volume of the periodical
3
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
15
Pages from-to
534-548
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85117073613