Tensor product representation of qubit and its transform under linear-operator action

P. Ádám, Vladimir A. Andreev, J. Jánszky, Margarita A. Man'Ko, Olga V. Man'Ko, Vladimir I. Man'Ko

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The general one-particle spin states are considered. It is shown that information contained in a spin-1/2 state can be recorded in an equivalent form with the help of three mixed completely decoherent qubit states. The density matrix of such a system has the form of the tensor product of three diagonal matrices. The linear operator defined in the space of one-particle spin states generates some transform of the tensor products of the diagonal matrices. We construct this transform in the explicit form.

Original languageEnglish
Pages (from-to)109-121
Number of pages13
JournalJournal of Russian Laser Research
Volume30
Issue number2
DOIs
Publication statusPublished - Mar 2009

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linear operators
Tensors
particle spin
tensors
products

Keywords

  • Density matrix
  • Entangled states
  • Information
  • Quantum computer
  • Quantum tomography
  • Spin state

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)

Cite this

Tensor product representation of qubit and its transform under linear-operator action. / Ádám, P.; Andreev, Vladimir A.; Jánszky, J.; Man'Ko, Margarita A.; Man'Ko, Olga V.; Man'Ko, Vladimir I.

In: Journal of Russian Laser Research, Vol. 30, No. 2, 03.2009, p. 109-121.

Research output: Contribution to journalArticle

Ádám, P. ; Andreev, Vladimir A. ; Jánszky, J. ; Man'Ko, Margarita A. ; Man'Ko, Olga V. ; Man'Ko, Vladimir I. / Tensor product representation of qubit and its transform under linear-operator action. In: Journal of Russian Laser Research. 2009 ; Vol. 30, No. 2. pp. 109-121.
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