A1 Refereed original research article in a scientific journal
Minimal covariant observables identifying all pure states
Authors: Carmeli C, Heinosaari T, Toigo A
Publisher: ELSEVIER SCIENCE BV
Publication year: 2013
Journal: Physics Letters A
Journal name in source: PHYSICS LETTERS A
Journal acronym: PHYS LETT A
Number in series: 21-22
Volume: 377
Issue: 21-22
First page : 1407
Last page: 1415
Number of pages: 9
ISSN: 0375-9601
DOI: https://doi.org/10.1016/j.physleta.2013.04.002
Abstract
It has been recently shown by Heinosaari, Mazzarella and Wolf (2013) [1] that an observable that identifies all pure states of a d-dimensional quantum system has minimally 4d - 4 outcomes or slightly less (the exact number depending on d). However, no simple construction of this type of minimal observable is known. We investigate covariant observables that identify all pure states and have minimal number of outcomes. It is shown that the existence of this kind of observables depends on the dimension of the Hilbert space. (c) 2013 Elsevier B.V. All rights reserved.
It has been recently shown by Heinosaari, Mazzarella and Wolf (2013) [1] that an observable that identifies all pure states of a d-dimensional quantum system has minimally 4d - 4 outcomes or slightly less (the exact number depending on d). However, no simple construction of this type of minimal observable is known. We investigate covariant observables that identify all pure states and have minimal number of outcomes. It is shown that the existence of this kind of observables depends on the dimension of the Hilbert space. (c) 2013 Elsevier B.V. All rights reserved.
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