An Electronic Mach-Zehnder Quantum Eraser

Abstract

We propose an electronic quantum eraser in which the electrons are injected into a mesoscopic conductor at the quantum Hall regime. The conductor is composed of a two-path interferometer which is an electronic analogue of the optical Mach-Zehnder interferometer, and a quantum point contact detector capacitively coupled to the interferometer. While the interference of the output current at the interferometer is shown to be suppressed by the which-path information, we show that the which-path information is erased by the zero-frequency cross correlation measurement between the interferometer and the detector output leads. We also investigate a modified setup in which the detector is replaced by a two-path interferometer.We show that the path distinguishability and the visibility of the joint detection can be controlled in a continuous manner, and satisfy a complementarity relation for the entangled electrons.

5 pages, 2 figures

References in corpus (4)

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• Charge Detection in a Closed-Loop Aharonov-Bohm Interferometer
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• Time-dependent simulation and analytical modelling of electronic Mach-Zehnder interferometry with edge-states wave packets
• Wave Function Collapse and the No-Superluminal-Signaling Principle
• Two-electron selective coupling in an edge-state based conditional phase shifter
• Probing Quantitatively Two-electron Entanglement with a Spintronic Quantum Eraser
• Thermodynamics of quantum information in noisy polarizers
• Electron qubits surfing on acoustic waves: review of recent progress
• Violation of Bell's inequality in electronic Mach-Zehnder interferometers