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Converting a positive operator-valued measure to a design for a measuring instrument on the laboratory bench

Myers, John M, Brandt, Howard E·1997·Measurement Science and Technology

Abstract

A known positive operator-valued measure (POVM) describing a desired receiver of quantum light states is converted into a description of parts - including a prism, beam splitters and detectors - arranged to make a laboratory instrument. The conversion is made in two stages. The first is a transparent example of Neumark's theorem, in which a two-dimensional (non-projective) POVM is converted into a Hermitian operator on a space of three dimensions. The second uses a known factorization of the Hermitian operator into a product of simpler operators, each a conventional description of an optical component. If the components behave according to their conventional descriptions, the receiver behaves in accord with the given POVM.

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Crossref · 10.1088/0957-0233/8/11/003

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  • Generalised measurements (POVMs) are useful when distinguishing between nonorthogonal states and can be implemented with N ports.

    “These are particularly useful when we need to distinguish between nonorthogonal states, and they can be implemented with N ports as well (Myers and Brandt 1997).”

    From Linear optical quantum computing with photonic qubits (2007) · cites this paper as Myers and Brandt 1997

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Research works printed but not linked: 8

  1. 10.1103/PhysRevA.54.3783 · DOI
  2. 10.1103/PhysRevLett.73.58 · DOI · Paper page
  3. 10.1103/PhysRevA.50.1047 · DOI
  4. Brandt H E, 1997, Proc. SPIE, 3076, 12, 10.1117/12.277651 · DOI
  5. 10.1016/0375-9601(88)91034-1 · DOI
  6. 10.1016/0375-9601(87)90222-2 · DOI
  7. 10.1103/PhysRevA.40.1371 · DOI
  8. Caves C M, 1980, Phys. Rev. Lett., 45, 78

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Metadata

Authors
Myers, J. M., & Brandt, H. E.
Venue
Measurement Science and Technology
Published
1997-11-01
Volume
8
Issue
11
Pages
1222-1227
ISSN
  • 0957-0233
  • 1361-6501
Cited by
20
References
0

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