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Title: Paradoxical consequences of multipath coherence : perfect interaction-free measurements
Authors: Mondal, Subhendu
Paterek, Tomasz
Zhao, Z.
Markiewicz, M.
Rutkowski, A.
Dakić, B.
Laskowski, W.
Keywords: Quantum Mechanics
Paradoxical Consequences
Issue Date: 2018
Source: Zhao, Z., Mondal, S., Markiewicz, M., Rutkowski, A., Dakić, B., Laskowski, W., & Paterek, T. (2018). Paradoxical consequences of multipath coherence : perfect interaction-free measurements. Physical Review A, 98(2), 022108-. doi:10.1103/PhysRevA.98.022108
Series/Report no.: Physical Review A
Abstract: Quantum coherence can be used to infer the presence of a detector without triggering it. Here we point out that, according to quantum mechanics, such interaction-free measurements cannot be perfect, i.e., in a single-shot experiment one has strictly positive probability to activate the detector. We formalize the extent to which such measurements are forbidden by deriving a trade-off relation between the probability of activation and the probability of an inconclusive interaction-free measurement. Our description of interaction-free measurements is theory independent and allows derivations of similar relations in models generalizing quantum mechanics. We provide the trade-off for the density cube formalism, which extends the quantum model by permitting coherence between more than two paths. The trade-off obtained hints at the possibility of perfect interaction-free measurements and indeed we construct their explicit examples. Such measurements open up a paradoxical possibility where we can learn by means of interference about the presence of an object in a given location without ever detecting a probing particle in that location. We therefore propose that absence of perfect interaction-free measurement is a natural postulate expected to hold in all physical theories. As shown, it holds in quantum mechanics and excludes the models with multipath coherence.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.98.022108
Rights: © 2018 American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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