Single particle nonlocality: A proposed experimental test
Abstract
We show that controlled interference of a particle's wavefunction can be used to perform a quantum mechanical measurement in an incomplete basis. This happens because the measurement projects the particle into a lower dimensional subspace of the Hilbert space of the incoming wave. It allows a sender (Alice) to signal the receiver (Bob) nonlocally, by Alice's choosing to measure in a complete or incomplete basis (in general: bases of differing incompleteness). If experimentally confirmed, it furnishes a new quantum communication act: nonlocal transmission of a bit without concomitant causal communication. However, the question of its compatibility with special relativity remains unresolved.
Cite
@article{arxiv.quant-ph/0110132,
title = {Single particle nonlocality: A proposed experimental test},
author = {R. Srikanth},
journal= {arXiv preprint arXiv:quant-ph/0110132},
year = {2007}
}
Comments
7 pages; 1 figure; Text expanded to reflect a better understanding of the effect uncovered in v1, as due to measurement in an incomplete basis. New references added to distinguish the present result from another instance of single particle nonlocality reported in the literature