Examples of conditional SIC-POVMs

Hiromichi Ohno, D. Petz

Research output: Contribution to journalArticle

Abstract

The state of a quantum system is a density matrix with several parameters. The concern herein is how to recover the parameters. Several possibilities exist for the optimal recovery method, and we consider some special cases. We assume that a few parameters are known and that the others are to be recovered. The optimal positive-operator-valued measure (POVM) for recovering unknown parameters with an additional condition is called a conditional symmetric informationally complete POVM (SIC-POVM). In this paper, we study the existence or nonexistence of conditional SIC-POVMs. We provide a necessary condition for existence and some examples.

Original languageEnglish
Pages (from-to)3983-3999
Number of pages17
JournalQuantum Information Processing
Volume14
Issue number10
DOIs
Publication statusPublished - Aug 4 2015

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structural influence coefficients
Positive Operator
Recovery
Optimal Recovery
Density Matrix
operators
Unknown Parameters
Quantum Systems
Nonexistence
Necessary Conditions
recovery

Keywords

  • Conditional SIC-POVM
  • Quantum state tomography
  • SIC-POVM

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Signal Processing
  • Modelling and Simulation
  • Theoretical Computer Science

Cite this

Examples of conditional SIC-POVMs. / Ohno, Hiromichi; Petz, D.

In: Quantum Information Processing, Vol. 14, No. 10, 04.08.2015, p. 3983-3999.

Research output: Contribution to journalArticle

Ohno, Hiromichi ; Petz, D. / Examples of conditional SIC-POVMs. In: Quantum Information Processing. 2015 ; Vol. 14, No. 10. pp. 3983-3999.
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