Multiparticle Interference, GHZ Entanglement, and Full Counting Statistics

Abstract

We investigate the quantum transport in a generalized N-particle Hanbury Brown--Twiss setup enclosing magnetic flux, and demonstrate that the Nth-order cumulant of current cross correlations exhibits Aharonov-Bohm oscillations, while there is no such oscillation in all the lower-order cumulants. The multiparticle interference results from the orbital Greenberger-Horne-Zeilinger entanglement of N indistinguishable particles. For sufficiently strong Aharonov-Bohm oscillations the generalized Bell inequalities may be violated, proving the N-particle quantum nonlocality.

4 pages, 1 figure, published version

References in corpus (9)

• An Electronic Mach-Zehnder Interferometer
• Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
• Environmental effects in the third moment of voltage fluctuations in a tunnel junction
• Detection of Quantum Noise from an Electrically-Driven Two-Level System
• Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
• Gisin's Theorem for Three Qubits
• Full Counting Statistics with Spin-sensitive Detectors reveals Spin-singlets
• Production and detection of three-qubit entanglement in the Fermi sea
• A classical analog to topological non-local quantum interference effect

Cited by in corpus (9)

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• Detecting Kondo Entanglement by Electron Conductance
• Quantum teleportation of single-electron states
• Cross-correlation of two interacting conductors
• Measurement of high order current correlators
• Conditional spin counting statistics as a probe of Coulomb interaction and spin-resolved bunching
• Interferometric distillation and determination of unknown two-qubit entanglement
• Full counting statistics of Kondo-type tunneling in a quantum dot: the fluctuation effect of Slave-Boson field