Tomographic Universality of the Discrete Wigner Function

Autor: Isabel Sainz, Ernesto Camacho, Andrés García, Andrei B. Klimov
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Quantum Reports, Vol 6, Iss 1, Pp 58-73 (2024)
Druh dokumentu: article
ISSN: 2624-960X
DOI: 10.3390/quantum6010005
Popis: We observe that the discrete Wigner functions (DWFs) of n-partite systems with odd local dimensions are tomographically universal, as reflected in the delta function form of the DWF for any stabilizer. However, in the n-qubit case, this property does not hold due to the non-factorization of the mapping kernel, the explicit form of which depends on a particular partition of the discrete phase space. Nonetheless, it turns out that the DWF for some specific stabilizers, not included in the set used for the construction of the Wigner map, takes on the form of a delta function. This implies that the possibility of classical simulations of Pauli measurements in a given stabilizer state for qubit systems is closely tied to the experimental setup.
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