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

J 2024

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

REITZNER, Daniel a Jan BOUDA

Základní údaje

Originální název

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

Autoři

REITZNER, Daniel a Jan BOUDA

Vydání

Quantum Information Processing, NEW YORK, SPRINGER, 2024, 1570-0755

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10201 Computer sciences, information science, bioinformatics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 2.200

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14330/24:00137778

Organizační jednotka

Fakulta informatiky

Klíčová slova anglicky

Generalized quantum measurements; POVM implementation; Sequential measurements; Unambiguous state discrimination

Změněno: 4. 4. 2025 12:36, RNDr. Pavel Šmerk, Ph.D.

Anotace

V originále

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.

Návaznosti

8C20005, projekt VaV

Název: Experimetnally-oriented Device Independent CrypTography (Akronym: eDICT)

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Experimentally-oriented Device Independent CrypTography, QUANTERA: Kvantové informační a komunikační vědy a technologie

Citovat

REITZNER, Daniel a Jan BOUDA. General measurements with limited resources and their application to quantum unambiguous state discrimination. Quantum Information Processing. NEW YORK: SPRINGER, 2024, roč. 23, č. 7, s. 268-292. ISSN 1570-0755. Dostupné z: https://doi.org/10.1007/s11128-024-04468-w.

@article{2455101,
   author = {Reitzner, Daniel and Bouda, Jan},
   article_location = {NEW YORK},
   article_number = {7},
   doi = {https://doi.org/10.1007/s11128-024-04468-w},
   keywords = {Generalized quantum measurements; POVM implementation; Sequential measurements; Unambiguous state discrimination},
   language = {eng},
   issn = {1570-0755},
   journal = {Quantum Information Processing},
   title = {General measurements with limited resources and their application to quantum unambiguous state discrimination},
   url = {https://link.springer.com/article/10.1007/s11128-024-04468-w},
   volume = {23},
   year = {2024}
}

TY  - JOUR
ID  - 2455101
AU  - Reitzner, Daniel - Bouda, Jan
PY  - 2024
TI  - General measurements with limited resources and their application to quantum unambiguous state discrimination
JF  - Quantum Information Processing
VL  - 23
IS  - 7
SP  - 268
EP  - 268
PB  - SPRINGER
SN  - 15700755
KW  - Generalized quantum measurements
KW  - POVM implementation
KW  - Sequential measurements
KW  - Unambiguous state discrimination
UR  - https://link.springer.com/article/10.1007/s11128-024-04468-w
N2  - 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.
ER  -

REITZNER, Daniel a Jan BOUDA. General measurements with limited resources and their application to quantum unambiguous state discrimination. \textit{Quantum Information Processing}. NEW YORK: SPRINGER, 2024, roč.~23, č.~7, s.~268-292. ISSN~1570-0755. Dostupné z: https://doi.org/10.1007/s11128-024-04468-w.

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