Abstract
It has recently been shown theoretically that elastic scattering in the Fermi sea produces quantum mechanically entangled states. The mechanism is similar to entanglement by a beam splitter in optics, but a key distinction is that the electronic mechanism works even if the source is in local thermal equilibrium. An experimental realization was proposed using tunneling between two edge channels in a strong magnetic field. Here we investigate a low-magnetic field alternative, using multiple scattering in a quantum dot. Two pairs of single-channel point contacts define a pair of qubits. If the scattering is chaotic, a universal statistical description of the entanglement production (quantified by the concurrence) is possible. The mean concurrence turns out to be almost independent on whether time-reversal symmetry is broken or not. We show how the concurrence can be extracted from a Bell inequality using low-frequency noise measurements, without requiring the tunneling assumption of earlier work.
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Beenakker, C., Kindermann, M., Marcus, C.M., Yacoby, A. (2004). Entanglement Production in a Chaotic Quantum Dot. In: Lerner, I.V., Altshuler, B.L., Gefen, Y. (eds) Fundamental Problems of Mesoscopic Physics. NATO Science Series II: Mathematics, Physics and Chemistry, vol 154. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2193-3_10
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DOI: https://doi.org/10.1007/1-4020-2193-3_10
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