Quantum divisibility test and its application in mesoscopic physics

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.

9 pages, 5 figures

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Cited by in corpus (7)

• Scattering matrix approach to the description of quantum electron transport
• Quantum metrology with a transmon qutrit
• Quantum Abacus for counting and factorizing numbers
• Linear Ascending Metrological Algorithm
• Phase estimation algorithm for the multibeam optical metrology
• Three Mach Zehnder Interferometers Setup for Production and Observation of GHZ-entanglement of Electrons
• Optimal non-invasive measurement of Full Counting Statistics by a single qubit