Signaling versus distinguishing different superpositions of same pure quantum state
Abstract
Different ensembles of quantum states can have the same average nonpure state. Distinguishing between such constructions, via different mixing procedures of the same nonpure quantum state, is known to entail signaling. In parallel, different superpositions of pure quantum states can lead to the same pure state. We show that the possibility of distinguishing between such preparations, via different interferometric setups leading to the same pure quantum state, also implies signaling. The implication holds irrespective of whether the distinguishing procedure is deterministic or probabilistic.
Cite
@article{arxiv.1904.05720,
title = {Signaling versus distinguishing different superpositions of same pure quantum state},
author = {Chirag Srivastava and Sreetama Das and Aditi Sen De and Ujjwal Sen},
journal= {arXiv preprint arXiv:1904.05720},
year = {2020}
}
Comments
v1: 2 pages. Please also look at the paper by A.K. Pati on arXiv today for a different perspective. v2: paper re-written to motivate the results better, previous results unchanged. v3 Journal reference and DOI added