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Open Quantum Systems Decoherence
Quantum Simulation
The Stochastic Representation of Hamiltonian Dynamics and The Quantization of Time
arXiv
Authors: Matthew F. Brown
Year
2011
Paper ID
29481
Status
Preprint
Abstract Read
~2 min
Abstract Words
69
Citations
N/A
Abstract
Here it is shown that the unitary dynamics of a quantum object may be obtained as the conditional expectation of a counting process of object-clock interactions. Such a stochastic process arises from the quantization of the clock, and this is derived naturally from the matrix-algebra representation of the nilpotent Newton-Leibniz time differential [Belavkin]. It is observed that this condition expectation is a rigorous formulation of the Feynman Path Integral.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Here it is shown that the unitary dynamics of a quantum object may be obtained as the conditional expectation of a counting process of object-clock interactions.
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