Publication detail

Probabilistic storage and retrieval of qubit phase gates

SEDLÁK, M. ZIMAN, M.

Original Title

Probabilistic storage and retrieval of qubit phase gates

Type

journal article in Web of Science

Language

English

Original Abstract

Probabilistic storage and retrieval (PSR) of unitary quantum dynamics is possible with exponentially small failure probability with respect to the number of systems used as a quantum memory [PRL 122, 170502 (2019)]. Here we study improvements due to a priori knowledge about the unitary transformation to be stored. In particular, we study N -> 1 PSR of qubit phase gates, i.e. qubit rotations a round Z axis with an unknown angle, and show that if we access the gate only N-times, the optimal probability of perfect retrieving of its single use is N/(N+1). We propose a quantum circuit realization for the optimal 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, while having 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

Authors

SEDLÁK, M.; ZIMAN, M.

Released

17. 9. 2020

ISBN

2469-9926

Periodical

Physical Review A

Year of study

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"
}