Coherence, Path-Predictability and I-Concurrence: A Triality
Abstract
It is well known that fringe contrast is not a good quantifier of the wave nature of a quanton in multipath interference. A new interference visibility, based on the Hilbert-Schmidt coherence is introduced. It is demonstrated that this visibility is a good quantifier of wave nature, and can be experimentally measured. A generalized path predictability is introduced, which reduces to the predictability of Greenberger and Yasin, for the case of two paths. In a multipath, which-way interference experiment, the new visibility, the predictability and the I-concurrence (quantifying the entanglement between the quanton and the path-detector), are shown to follow a tight triality relation. It quantifies the essential role that entanglement plays in multipath quantum complementarity, for the first time.
Keywords
Cite
@article{arxiv.2111.06068,
title = {Coherence, Path-Predictability and I-Concurrence: A Triality},
author = {Abhinash Kumar Roy and Neha Pathania and Nitish Kumar Chandra and Prasanta K. Panigrahi and Tabish Qureshi},
journal= {arXiv preprint arXiv:2111.06068},
year = {2022}
}
Comments
8 pages, 1 figure; Revised version