Quantum gates and protocols with spherical Wigner functions

Orsolya Kálmán, M. Benedict

Research output: Contribution to journalArticle

Abstract

The fundamental concepts and operations of quantum information theory are considered in the framework of a phase space formulation of quantum mechanics, where the states of one or several qubits are represented by a specific continuous quasiprobability distribution function on the Bloch sphere or on its generalizations. The function we use is the spherical Wigner function. It is shown that the usual transformations of quantum information theory are certain rotations or more general transformations of this Wigner function. We show that the standard teleportation and dense coding protocols can be appropriately formulated in terms of the Wigner function.

Original languageEnglish
Pages (from-to)501-509
Number of pages9
JournalInternational Journal of Quantum Information
Volume3
Issue number3
DOIs
Publication statusPublished - Sep 2005

Fingerprint

information theory
quantum mechanics
coding
distribution functions
formulations

Keywords

  • Phase space method
  • Wigner function

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Quantum gates and protocols with spherical Wigner functions. / Kálmán, Orsolya; Benedict, M.

In: International Journal of Quantum Information, Vol. 3, No. 3, 09.2005, p. 501-509.

Research output: Contribution to journalArticle

@article{b5e00b6005194544b4ae8e55d67bb3a6,
title = "Quantum gates and protocols with spherical Wigner functions",
abstract = "The fundamental concepts and operations of quantum information theory are considered in the framework of a phase space formulation of quantum mechanics, where the states of one or several qubits are represented by a specific continuous quasiprobability distribution function on the Bloch sphere or on its generalizations. The function we use is the spherical Wigner function. It is shown that the usual transformations of quantum information theory are certain rotations or more general transformations of this Wigner function. We show that the standard teleportation and dense coding protocols can be appropriately formulated in terms of the Wigner function.",
keywords = "Phase space method, Wigner function",
author = "Orsolya K{\'a}lm{\'a}n and M. Benedict",
year = "2005",
month = "9",
doi = "10.1142/S0219749905001080",
language = "English",
volume = "3",
pages = "501--509",
journal = "International Journal of Quantum Information",
issn = "0219-7499",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

TY - JOUR

T1 - Quantum gates and protocols with spherical Wigner functions

AU - Kálmán, Orsolya

AU - Benedict, M.

PY - 2005/9

Y1 - 2005/9

N2 - The fundamental concepts and operations of quantum information theory are considered in the framework of a phase space formulation of quantum mechanics, where the states of one or several qubits are represented by a specific continuous quasiprobability distribution function on the Bloch sphere or on its generalizations. The function we use is the spherical Wigner function. It is shown that the usual transformations of quantum information theory are certain rotations or more general transformations of this Wigner function. We show that the standard teleportation and dense coding protocols can be appropriately formulated in terms of the Wigner function.

AB - The fundamental concepts and operations of quantum information theory are considered in the framework of a phase space formulation of quantum mechanics, where the states of one or several qubits are represented by a specific continuous quasiprobability distribution function on the Bloch sphere or on its generalizations. The function we use is the spherical Wigner function. It is shown that the usual transformations of quantum information theory are certain rotations or more general transformations of this Wigner function. We show that the standard teleportation and dense coding protocols can be appropriately formulated in terms of the Wigner function.

KW - Phase space method

KW - Wigner function

UR - http://www.scopus.com/inward/record.url?scp=33746301946&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746301946&partnerID=8YFLogxK

U2 - 10.1142/S0219749905001080

DO - 10.1142/S0219749905001080

M3 - Article

VL - 3

SP - 501

EP - 509

JO - International Journal of Quantum Information

JF - International Journal of Quantum Information

SN - 0219-7499

IS - 3

ER -