Predictability, Distinguishability and Entanglement
- URL: http://arxiv.org/abs/2011.08210v2
- Date: Wed, 20 Jan 2021 19:03:19 GMT
- Title: Predictability, Distinguishability and Entanglement
- Authors: Tabish Qureshi
- Abstract summary: Recent times have seen a spurt of research activity focused on "completing" certain wave-particle duality relations using entanglement or polarization.
Quantum origins of these results are explored here, in the more general framework of multipath quantum interference.
Results of this study show that the two duality relations are quantitatively connected via entanglement.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Recent times have seen a spurt of research activity focused on "completing"
certain wave-particle duality relations using entanglement or polarization.
These studies use a duality relation involving path-predictability, and not
path-distinguishability. Quantum origins of these results are explored here, in
the more general framework of multipath quantum interference. Multipath
interference with a path-detector is theoretically analyzed to find the
connection between predictability and distinguishability. It is shown that
entanglement is what quantitatively connects distinguishability with
predictability. Thus, a duality relation between distinguishability and
coherence, can also be viewed as a triality between predictability,
entanglement and coherence. There exist two different kind of duality relations
in the literature, which pertain to two different kinds of interference
experiments, with or without a path-detector. Results of this study show that
the two duality relations are quantitatively connected via entanglement. The
roots of the new results in the classical optical domain, including the
polarization coherence theorem, can be understood in the light of this work.
Additionally, the triality relations obtained can quantify wave-particle
duality in the interesting case of a quanton with an internal degree of
freedom. The relations can also be employed to experimentally determine the
degree of bipartite entanglement.
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