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Probability representation of quantum dynamics using pseudo-stochastic maps | E.O. Kiktenko
; A.O. Malyshev
; A.S. Mastiukova
; V.I. Man'ko
; A.K. Fedorov
; D. Chruściński
; | Date: |
9 Aug 2019 | Abstract: | In this work, we consider a probability representation of quantum dynamics
for finite-dimensional quantum systems using pseudo-stochastic maps acting on
probability distributions obtained via symmetric informationally complete
positive operator-valued measure (SIC-POVM). These true probability
distributions that fully describe quantum states can be directly accessible in
an experiment. We provide stochastic representation both for unitary evolution
of the density matrix governed by the von Neumann equation and dissipative
evolution governed by Markovian master equation. Finally, we reconstruct
experimentally a pseudo-stochastic matrix of a single-qubit gate on the IBM
quantum processor. Within performing the experiment we develop a method of
employing SIC-POVM measurements, which allows eliminating read-out errors
inherent to single-qubit projective measurements. This forms a link between our
results on the representation of quantum channels using pseudo-stochastic maps
and practical tasks of improving the accuracy of the reconstruction of quantum
states and channels in existing quantum devices. | Source: | arXiv, 1908.3404 | Services: | Forum | Review | PDF | Favorites |
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