Wigner function of a qubit

Volume 110 / 2016

Jerzy Kijowski, Piotr Waluk, Katarzyna Senger Banach Center Publications 110 (2016), 121-129 MSC: Primary 81S10; Secondary 53D50. DOI: 10.4064/bc110-0-9

Abstract

We show that real polarization method can be effectively used to geometrically quantize physical systems with compact phase space, like the spin. Our method enables us to construct a wave function of a qubit in both position and momentum representations and also its Wigner function. These results can be used in quantum informatics.

Authors

  • Jerzy KijowskiCenter for Theoretical Physics
    Polish Academy of Sciences
    Al. Lotników 32/46
    02-668 Warszawa, Poland
    e-mail
  • Piotr WalukCenter for Theoretical Physics
    Polish Academy of Sciences
    Al. Lotników 32/46
    02-668 Warszawa, Poland
    e-mail
  • Katarzyna SengerCenter for Theoretical Physics
    Polish Academy of Sciences
    Al. Lotników 32/46
    02-668 Warszawa, Poland
    e-mail

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