Abstract
Weak value (WV) is a quantum mechanical measurement protocol, proposed by Aharonov, Albert, and Vaidman. It consists of a weak measurement, which is weighed in, conditional on the outcome of a later, strong measurement. Here we define another two-step measurement protocol, null weak value (NVW), and point out its advantages as compared to WV. We present two alternative derivations of NWVs and compare them to the corresponding derivations of WVs.
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J. von Neumann, Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932)
Y. Aharonov, D. Albert, L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988)
A. Romito, Y. Gefen, Physica E 42, 343 (2010)
H. Wiseman, Phys. Rev. A 65, 032111 (2002)
R. Jozsa, Phys. Rev. A 76, 044103 (2007)
J. Dressel, S. Agarwal, A.N. Jordan, Phys. Rev. Lett. 104, 240401 (2010)
N.W.M. Ritchie, J.G. Story, R.G. Hulet, Phys. Rev. Lett. 66, 1107 (1991)
G. Pryde, J. O’Brien, A. White, T. Ralph, H. Wiseman, Phys. Rev. Lett. 94, 220405 (2005)
O. Hosten, P. Kwiat, Science 319, 787 (2008)
P.B. Dixon, D.J. Starling, A.N. Jordan, J.C. Howell, Phys. Rev. Lett. 102, 173601 (2009)
D. Starling, P. Dixon, A. Jordan, J. Howell, Phys. Rev. A 80, 041803 (2009)
N. Brunner, C. Simon, Phys. Rev. Lett. 105, 010405 (2010)
D.J. Starling, P.B. Dixon, N.S. Williams, A.N. Jordan, J.C. Howell, Phys. Rev. A 82, 011802 (2010)
N.S. Williams, A.N. Jordan, Phys. Rev. Lett. 100, 4 (2008)
A. Romito, Y. Gefen, Y.M. Blanter, Phys. Rev. Lett. 100, 056801 (2008)
V. Shpitalnik, Y. Gefen, A. Romito, Phys. Rev. Lett. 101, 226802 (2008)
O. Zilberberg, A. Romito, Y. Gefen, Phys. Rev. Lett. 106, 080405 (2011)
X. Zhu, Y. Zhang, S. Pang, C. Qiao, Q. Liu, S. Wu, Phys. Rev. A 84, 052111 (2011)
O. Zilberberg, A. Romito, D.J. Starling, G.A. Howland, C.J. Broadbent, J.C. Howell, Y. Gefen, Phys. Rev. Lett. 110, 170405 (2013)
Acknowledgements
This work was supported by GIF, the Israel science foundation, Minerva Foundation of the DFG, Israel-Korea MOST grant, and EU GEOMDISS.
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Zilberberg, O., Romito, A., Gefen, Y. (2014). Standard and Null Weak Values. In: Struppa, D., Tollaksen, J. (eds) Quantum Theory: A Two-Time Success Story. Springer, Milano. https://doi.org/10.1007/978-88-470-5217-8_25
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DOI: https://doi.org/10.1007/978-88-470-5217-8_25
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-5216-1
Online ISBN: 978-88-470-5217-8
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