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Journal of Modern Optics

Simultaneous non-disturbing detection of incompatible properties in a double-slit experiment

Giuseppe Nisticò, Angela Sestito

Published May 2, 2004• 0 citations
Publisher

Abstract

We exploit the notion of which-slit detector introduced by Englert, Scully and Walther (ESW), to show that two incompatible properties can be detected together for each particle hitting the screen, without disturbing the centerof-mass motion of the particle.
DOI
10.1080/09500340410001663918

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In a typical double‐slit experiment, we seek for properties incompatible with Which Slit property, which can be detected without erasing the information about which slit each particle localized on the final screen passed through. It is found that these properties exist if the dimension of the Hilbert space describing the position of the particle is at least 4, but they can have a non‐trivial character only if such a dimension is at least 6. An ideal experiment realizing this non‐trivial detection without erasure is designed.