General measurements with limited resources and their application to quantum unambiguous state discrimination

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F24%3A00137778" target="_blank" >RIV/00216224:14330/24:00137778 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11128-024-04468-w" target="_blank" >https://link.springer.com/article/10.1007/s11128-024-04468-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11128-024-04468-w" target="_blank" >10.1007/s11128-024-04468-w</a>

Result language
angličtina
Original language name
General measurements with limited resources and their application to quantum unambiguous state discrimination
Original language description
In this report, we present a framework for implementing an arbitrary n-outcome generalized quantum measurement (POVM) on an m-qubit register as a sequence of two-outcome measurements requiring only single ancillary qubit. Our procedure offers a particular construction for the two-outcome partial measurements which can be composed into a full implementation of the measurement on any gate architecture. This implementation in general requires classical feedback; we present specific cases when this is not the case. We apply this framework on the unambiguous state discrimination and analyze possible strategies. In the simplest case, it gives the same construction as is known, if we opt for performing conclusiveness measurement first. However, it also offers possibility of performing measurement for one of the state outcomes first, leaving conclusiveness measurement for later. This shows flexibility of presented framework and opens possibilities for further optimization. We present discussion also on biased qubit case as well as general case of unambiguous quantum state discrimination in higher dimension.
Czech name
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Czech description
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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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/8C20005" target="_blank" >8C20005: Experimetnally-oriented Device Independent CrypTography</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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