Quantum paradoxes in electronic counting statistics

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2011
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DEEN, M. Jamal, ed. and others. 2011 21st International Conference on Noise and Fluctuations (ICNF 2011) : Toronto, Ontario, Canada, 12 - 16 June 2011. Piscataway, NJ: IEEE, 2011, pp. 340-343. ISBN 978-1-4577-0189-4. Available under: doi: 10.1109/ICNF.2011.5994337
Zusammenfassung

The impossibility of measuring non-commuting quantum mechanical observables is one of the most fascinating consequences of the quantum mechanical postulates. Hence, to date the investigation of quantum measurement and projection is a fundamentally interesting topic. We propose to test the concept of weak measurement of non-commuting observables in mesoscopic transport experiments, using a quasiprobabilistic description. We derive an inequality for current correlators, which is satisfied by every classical probability but violated by high-frequency fourth-order cumulants in the quantum regime for experimentally feasible parameters. We further address the creation and detection of entanglement in solid-state electronics, which is of fundamental importance for quantum information processing. We propose a general test of entanglement based on the violation of a classically satisfied inequality for continuous variables by 4th or higher order quantum correlation functions. Our scheme provides a way to prove the existence of entanglement in a mesoscopic transport setup by measuring higher order cumulants without requiring the additional assumption of single charge detection.

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530 Physik
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21st International Conference on Noise and Fluctuations (ICNF 2011), 12. Juni 2011 - 16. Juni 2011, Toronto
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ISO 690BEDNORZ, Adam, Kurt FRANKE, Wolfgang BELZIG, 2011. Quantum paradoxes in electronic counting statistics. 21st International Conference on Noise and Fluctuations (ICNF 2011). Toronto, 12. Juni 2011 - 16. Juni 2011. In: DEEN, M. Jamal, ed. and others. 2011 21st International Conference on Noise and Fluctuations (ICNF 2011) : Toronto, Ontario, Canada, 12 - 16 June 2011. Piscataway, NJ: IEEE, 2011, pp. 340-343. ISBN 978-1-4577-0189-4. Available under: doi: 10.1109/ICNF.2011.5994337
BibTex
@inproceedings{Bednorz2011Quant-53699,
  year={2011},
  doi={10.1109/ICNF.2011.5994337},
  title={Quantum paradoxes in electronic counting statistics},
  isbn={978-1-4577-0189-4},
  publisher={IEEE},
  address={Piscataway, NJ},
  booktitle={2011 21st International Conference on Noise and Fluctuations (ICNF 2011) : Toronto, Ontario, Canada, 12 - 16 June 2011},
  pages={340--343},
  editor={Deen, M. Jamal},
  author={Bednorz, Adam and Franke, Kurt and Belzig, Wolfgang}
}
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