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Converting a positive operator-valued measure to a design for a measuring instrument on the laboratory bench
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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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
- 10.1103/PhysRevA.54.3783 · DOI
- 10.1103/PhysRevLett.73.58 · DOI · Paper page
- 10.1103/PhysRevA.50.1047 · DOI
- Brandt H E, 1997, Proc. SPIE, 3076, 12, 10.1117/12.277651 · DOI
- 10.1016/0375-9601(88)91034-1 · DOI
- 10.1016/0375-9601(87)90222-2 · DOI
- 10.1103/PhysRevA.40.1371 · DOI
- Caves C M, 1980, Phys. Rev. Lett., 45, 78
Cited by
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Linear optical quantum computing with photonic qubits
Kok, P., Munro, W. J., Nemoto, K., Ralph, T. C., Dowling, J. P., & Milburn, G. J. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.135 · Cited by 2,904
Metadata
- Authors
- Myers, J. M., & Brandt, H. E.
- Venue
- Measurement Science and Technology
- Publisher
- IOP Publishing
- 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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