Single particle nonlocality: A proposed experimental test

Physics – Quantum Physics

Scientific paper

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7 pages; 1 figure; Text expanded to reflect a better understanding of the effect uncovered in v1, as due to measurement in an

Scientific paper

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.

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