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Mutually unbiased b...
Mutually unbiased bases and discrete Wigner functions
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- Björk, Gunnar (author)
- KTH,Mikroelektronik och tillämpad fysik, MAP
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Romero, Jose L. (author)
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Klimov, Andrei B. (author)
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Sanchez-Soto, Luis L. (author)
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(creator_code:org_t)
- 2007
- 2007
- English.
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In: Journal of the Optical Society of America. B, Optical physics. - 0740-3224 .- 1520-8540. ; 24:2, s. 371-378
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- Mutually unbiased bases and discrete Wigner functions are closely but not uniquely related. Such a connection becomes more interesting when the Hilbert space has a dimension that is a power of a prime N=d(n), which describes a composite system of n qudits. Hence, entanglement naturally enters the picture. Although our results are general, we concentrate on the simplest nontrivial example of dimension N=8=2(3). It is shown that the number of fundamentally different Wigner functions is severely limited if one simultaneously imposes translational covariance and that the generating operators consist of rotations around two orthogonal axes, acting on the individual qubits only.
Keyword
- quantum-state tomography
- prime power dimensions
- mean kings problem
- hilbert-space
- systems
- spin
- separability
- mechanics
- operators
- geometry
Publication and Content Type
- ref (subject category)
- art (subject category)
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