Determining eigenvalues of a density matrix with minimal information in a single experimental setting

Tohru Tanaka, Yukihiro Ota, Mitsunori Kanazawa, Gen Kimura, Hiromichi Nakazato, Franco Nori

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Eigenvalues of a density matrix characterize well the quantum state's properties, such as coherence and entanglement. We propose a simple method to determine all the eigenvalues of an unknown density matrix of a finite-dimensional system in a single experimental setting. Without fully reconstructing a quantum state, eigenvalues are determined with the minimal number of parameters obtained by a measurement of a single observable. Moreover, its implementation is illustrated in linear optical and superconducting systems.

Original languageEnglish
Article number012117
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number1
DOIs
Publication statusPublished - 2014 Jan 21

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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Determining eigenvalues of a density matrix with minimal information in a single experimental setting. / Tanaka, Tohru; Ota, Yukihiro; Kanazawa, Mitsunori; Kimura, Gen; Nakazato, Hiromichi; Nori, Franco.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 89, No. 1, 012117, 21.01.2014.

Research output: Contribution to journalArticle

Tanaka, Tohru ; Ota, Yukihiro ; Kanazawa, Mitsunori ; Kimura, Gen ; Nakazato, Hiromichi ; Nori, Franco. / Determining eigenvalues of a density matrix with minimal information in a single experimental setting. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2014 ; Vol. 89, No. 1.
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