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Open Quantum Systems Decoherence Quantum Simulation

Dynamical aspects in the Quantizer-Dequantizer formalism

arXiv
Authors: Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo

Year

2017

Paper ID

44133

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

The use of the quantizer-dequantizer formalism to describe the evolution of a quantum system is reconsidered. We show that it is possible to embed a manifold in the space of quantum states of a given auxiliary system by means of an appropriate quantizer-dequantizer system. If this manifold of states is invariant with respect to some unitary evolution, the quantizer-dequantizer system provides a classical-like realization of such dynamics, which in general is non linear. Integrability properties are also discussed. Weyl systems and generalized coherente states are used as a simple illustration of these ideas.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • The use of the quantizer-dequantizer formalism to describe the evolution of a quantum system is reconsidered.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1708.02774 [2] arXiv https://arxiv.org/abs/1708.02774 [3] Publisher https://arxiv.org/abs/1708.02774

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