The Entanglement Timescale
High Energy Physics - Theory
2018-03-21 v2 Quantum Physics
Abstract
We derive the timescale for two initially pure subsystems to become entangled with each other through an arbitrary Hamiltonian that couples them. The entanglement timescale is inversely proportional to the "correlated uncertainty" between the two subsystems, a quantity which we will define and analyze in this paper. Our result is still applicable when one of the subsystems started in an arbitrarily mixed state, thus it generalizes the well-known "decoherence timescale" while coupled to a thermal state.
Cite
@article{arxiv.1707.05792,
title = {The Entanglement Timescale},
author = {I-Sheng Yang},
journal= {arXiv preprint arXiv:1707.05792},
year = {2018}
}
Comments
v2, updated section II according to referee comments, 4 pages, no figures