Publication result detail

Probabilistic storage and retrieval of qubit phase gates

SEDLÁK, M.; ZIMAN, M.

Original Title

Probabilistic storage and retrieval of qubit phase gates

English Title

Probabilistic storage and retrieval of qubit phase gates

Type

WoS Article

Original Abstract

Probabilisticstorage and retrieval (PSR) of unitary quantum dynamics is possible withexponentially small failure probability with respect to the number of systemsused as a quantum memory [PRL 122, 170502 (2019)]. Here we study improvementsdue to a priori knowledge about the unitary transformation to be stored. Inparticular, we study N -> 1 PSR of qubit phase gates, i.e. qubitrotations a round Z axis with an unknown angle, and show that if we accessthe gate only N-times, the optimal probability of perfect retrieving of itssingle use is N/(N+1). We propose a quantum circuit realization for theoptimal protocol and show that programmable phase gate [PRL 88, 047905 (2002)]can be turned into (2^k-1)-> 1 optimal PSR of phase gates and requires only k CNOT gates, whilehaving exponentially small failure probability in k.

English abstract

Probabilisticstorage and retrieval (PSR) of unitary quantum dynamics is possible withexponentially small failure probability with respect to the number of systemsused as a quantum memory [PRL 122, 170502 (2019)]. Here we study improvementsdue to a priori knowledge about the unitary transformation to be stored. Inparticular, we study N -> 1 PSR of qubit phase gates, i.e. qubitrotations a round Z axis with an unknown angle, and show that if we accessthe gate only N-times, the optimal probability of perfect retrieving of itssingle use is N/(N+1). We propose a quantum circuit realization for theoptimal protocol and show that programmable phase gate [PRL 88, 047905 (2002)]can be turned into (2^k-1)-> 1 optimal PSR of phase gates and requires only k CNOT gates, whilehaving exponentially small failure probability in k.

Keywords

Probability, Quantum theory, Controlled-NOT gates, Failure Probability, Optimal Protocols, Priori Knowledge, Quantum Circuit, Quantum Dynamics, Storace  and Retrievals, Unitari Transformations

Key words in English

Probability, Quantum theory, Controlled-NOT gates, Failure Probability, Optimal Protocols, Priori Knowledge, Quantum Circuit, Quantum Dynamics, Storace  and Retrievals, Unitari Transformations

Authors

SEDLÁK, M.; ZIMAN, M.

RIV year

2021

Released

17.09.2020

ISBN

2469-9926

Periodical

PHYSICAL REVIEW A

Volume

102

Number

1

State

United States of America

Pages from

1

Pages to

8

Pages count

8

URL

https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.032618

BibTex

@article{BUT168542,
  author="Michal {Sedlák} and Mário {Ziman}",
  title="Probabilistic storage and retrieval of qubit phase gates",
  journal="PHYSICAL REVIEW A",
  year="2020",
  volume="102",
  number="1",
  pages="1--8",
  doi="10.1103/PhysRevA.102.032618",
  issn="2469-9926",
  url="https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.032618"
}

Documents

PhysRevA.102.032618