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“Simultaneous measurement” from the standpoint of quantum estimation theory

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Abstract

The purpose of the simultaneous measurement of noncommuting quantum observables can be viewed as the joint estimation of parameters of the density operator of the quantum system. Joint estimation involves the application of a multiply parameterized operator-valued measure. An example related to the simultaneous estimation of the position and velocity of a particle is given. Conceptual difficulties attending simultaneous measurement of noncommuting observables are avoided by this formation.

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Authors and Affiliations

  1. Department of Applied Physics and Information Science, University of California, 92037, San Diego, La Jolla, California

    Carl W. Helstrom

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  1. Carl W. Helstrom
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Additional information

This research was carried out under Grant GK-33811 from the National Science Foundation.

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Helstrom, C.W. “Simultaneous measurement” from the standpoint of quantum estimation theory. Found Phys 4, 453–463 (1974). https://doi.org/10.1007/BF00708521

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  • DOI: https://doi.org/10.1007/BF00708521

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