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Quantum Simulation

Continuous phase-space methods on discrete phase spaces

arXiv
Authors: Bojan Žunkovič

Year

2015

Paper ID

8038

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We show that discrete quasiprobability distributions defined via the discrete Heisenberg-Weyl group can be obtained as discretizations of the continuous SU(N) quasiprobability distributions. This is done by identifying the phase-point operators with the continuous quantisation kernels evaluated at special points of the phase space. As an application we discuss the positive-P function and show that its discretization can be used to treat the problem of diverging trajectories. We study the dissipative long-range transverse-field Ising chain and show that the long-time dynamics of local observables is well described by a semiclassical approximation of the interactions.

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  • We show that discrete quasiprobability distributions defined via the discrete Heisenberg-Weyl group can be obtained as discretizations of the continuous SU(N) quasiprobability...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1508.00135 [2] arXiv https://arxiv.org/abs/1508.00135 [3] Publisher https://arxiv.org/abs/1508.00135

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