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arXiv · 0906.4960

Quantum divisibility test and its application in mesoscopic physics

G. B. Lesovik·M. V. Suslov·G. Blatter
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Abstract

We present a quantum algorithm to transform the cardinality of a set of charged particles flowing along a quantum wire into a binary number. The setup performing this task (for at most N particles) involves log_2 N quantum bits serving as counters and a sequential read out. Applications include a divisibility check to experimentally test the size of a finite train of particles in a quantum wire with a one-shot measurement and a scheme allowing to entangle multi-particle wave functions and generating Bell states, Greenberger-Horne-Zeilinger states, or Dicke states in a Mach-Zehnder interferometer.

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G. B. Lesovik, M. V. Suslov, G. Blatter. 2009-06-26. Quantum divisibility test and its application in mesoscopic physics. https://doi.org/10.1103/physreva.82.012316

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