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Reconstructing the discrete Wigner function and some properties of the measurement bases
KTH, Superseded Departments, Microelectronics and Information Technology, IMIT.ORCID iD: 0000-0002-2082-9583
2001 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 6401, no 1Article in journal (Refereed) Published
Abstract [en]

We derive a direct reconstruction algorithm for the discrete Wigner function through different types of measurements. For a system described in a Hilbert space of dimension N=N-1...N-p, where the numbers N-i are prime, the reconstruction is accomplished with (N-1+1)...(N-p+1) factorable (local) von Neumann measurements. For the special case where the dimension is a power of a prime, the reconstruction can be performed in a much more efficient way using N+1 complementary measurements. If the system is composed of a number of smaller subsystems, these measurements will then in general be nonseparable.

Place, publisher, year, edition, pages
2001. Vol. 6401, no 1
Keyword [en]
stern-gerlach measurements, quantum-state tomography, spin-s, wave-function, ensembles, information, mechanics
Identifiers
URN: urn:nbn:se:kth:diva-20760ISI: 000169711400018OAI: oai:DiVA.org:kth-20760DiVA: diva2:339457
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Björk, Gunnar

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