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Open Quantum Systems Decoherence Quantum Simulation

The Generation of Quantum Hamiltonian Evolution from A Pseudo-Measurement Process

arXiv
Authors: Matthew F. Brown

Year

2013

Paper ID

31572

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

Here we shall consider the idea that the Hamiltonian evolution of a quantum system is generated by sequential observations of the system by a `pseudo-apparatus'. This representation of Hamiltonian dynamics, originally discovered by Belavkin, is a canonical dilation of the Schroedinger equation that reveals a Minkowski space structure outside of the context of Special Relativity. In particular, this formalism gives rise to the notion of a Boosted Schroedinger equation referred to a dilated time increment which is the manifestation of a Lorentz transform in the Minkowski space of the apparatus.

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  • Here we shall consider the idea that the Hamiltonian evolution of a quantum system is generated by sequential observations of the system by a `pseudo-apparatus'.

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