Angle and angular momentum: Uncertainty relations, simultaneous measurement, and phase-space representation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73613469" target="_blank" >RIV/61989592:15310/22:73613469 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.106.022204" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.106.022204</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.106.022204" target="_blank" >10.1103/PhysRevA.106.022204</a>
Alternative languages
Result language
angličtina
Original language name
Angle and angular momentum: Uncertainty relations, simultaneous measurement, and phase-space representation
Original language description
Reaching ultimate performance of quantum technologies requires the use of detection at quantum limits and access to all resources of the underlying physical system. We establish a full quantum analogy between the pair of angular momentum and exponential angular variable, and the structure of canonically conjugate position and momentum. This includes the notion of optimal simultaneous measurement of the angular momentum and angular variable, the identification of Einstein-Podolsky-Rosen-like variables and states, and, finally, a phase -space representation of quantum states. Our construction is based on close interconnection of the three concepts and may serve as a template for the treatment of other observables. This theory also provides a test bed for implementation of quantum technologies combining discrete and continuous quantum variables.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
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Continuities
R - Projekt Ramcoveho programu EK
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW A
ISSN
2469-9926
e-ISSN
2469-9934
Volume of the periodical
106
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
"022204-1"-"022204-12"
UT code for WoS article
000837974100004
EID of the result in the Scopus database
2-s2.0-85135966843