Quantum State Identification of Qutrits via a Nonlinear Protocol

P. V. Pyshkin, A. Gábris, O. Kálmán, I. Jex, T. Kiss

Research output: Contribution to journalArticle

Abstract

We propose a probabilistic quantum protocol to realize a nonlinear transformation of qutrit states, which by iterative applications on ensembles can be used to distinguish two types of pure states. The protocol involves single-qutrit and two-qutrit unitary operations as well as post-selection according to the results obtained in intermediate measurements. We utilize the nonlinear transformation in an algorithm to identify a quantum state provided it belongs to an arbitrary known finite set. The algorithm is based on dividing the known set of states into two appropriately designed subsets, which can be distinguished by the nonlinear protocol. In most cases, this is accompanied by the application of some properly defined physical (unitary) operation on the unknown state. Then, applying the nonlinear protocol, one can decide which of the two subsets the unknown state belongs to, thus reducing the number of possible candidates. By iteratively continuing this procedure until a single possible candidate remains, one can identify the unknown state.

Original languageEnglish
Pages (from-to)456-464
Number of pages9
JournalJournal of Russian Laser Research
Volume39
Issue number5
DOIs
Publication statusPublished - Sep 1 2018

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Keywords

  • quantum control
  • quantum measurement
  • quantum state identification

ASJC Scopus subject areas

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

Cite this

Quantum State Identification of Qutrits via a Nonlinear Protocol. / Pyshkin, P. V.; Gábris, A.; Kálmán, O.; Jex, I.; Kiss, T.

In: Journal of Russian Laser Research, Vol. 39, No. 5, 01.09.2018, p. 456-464.

Research output: Contribution to journalArticle

Pyshkin, P. V. ; Gábris, A. ; Kálmán, O. ; Jex, I. ; Kiss, T. / Quantum State Identification of Qutrits via a Nonlinear Protocol. In: Journal of Russian Laser Research. 2018 ; Vol. 39, No. 5. pp. 456-464.
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