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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/8C20005" target="_blank" >8C20005: Experimetnally-oriented Device Independent CrypTography</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Quantum Information Processing

ISSN

1570-0755

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

25

Strana od-do

268

Kód UT WoS článku

001268915400002

EID výsledku v databázi Scopus

2-s2.0-85198022434