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Trapped Ion Quantum Computing

Phase space hybrid theory of quantum measurement with nonlinear and stochastic dynamics

arXiv

Authors: N. Buric, D. B. Popovic, S. Prvanovic, M. Radonjic

Year

2013

Paper ID

33418

Status

Preprint

Abstract Read

~2 min

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Abstract

A novel theory of hybrid quantum-classical systems is developed, utilizing the mathematical framework of constrained dynamical systems on the quantum-classical phase space. Both, the quantum and the classical descriptions of the respective parts of the hybrid system are treated as fundamental. Therefore, the description of the quantum-classical interaction has to be postulated, and includes the effects of neglected degrees of freedom. Dynamical law of the theory is given in terms of nonlinear stochastic differential equations with Hamiltonian and gradient terms. The theory provides a successful dynamical description of the collapse during quantum measurement.

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A novel theory of hybrid quantum-classical systems is developed, utilizing the mathematical framework of constrained dynamical systems on the quantum-classical phase space.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1307.8424 [2] arXiv https://arxiv.org/abs/1307.8424 [3] Publisher https://arxiv.org/abs/1307.8424

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