The Measure Aspect of Quantum Uncertainty, of Entanglement, and the Associated Entropies

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

The Measure Aspect of Quantum Uncertainty, of Entanglement, and the Associated Entropies

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

The Measure Aspect of Quantum Uncertainty, of Entanglement, and the Associated Entropies

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Quantum Reports

ISSN

2624-960X

e-ISSN

2624-960X

Svazek periodika

3

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

15

Strana od-do

534-548

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85117073613