Abstract
In this study, we investigate the generalized modular value scheme based on non-classical pointer states. We consider a typical von Neumann measurement with a discrete quantum pointer, where the pointer is a projection operator onto one of the states of the basis of the pointer Hilbert space. We separately calculate the conditional probabilities, Qm factors, and signal-to-noise ratios of quadrature operators of coherent, coherent squeezed, and Schrödinger cat pointer states and find that the non-classical pointer states can increase the negativity of the field and precision of measurement compared with semi-classical states in generalized measurement problems characterized by the modular value.
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References
Y. Aharonov, D.Z. Albert, L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988)
Y. Aharonov, D. Rohrlich,Quantum Paradoxes-Quantum Theory for the Perplexed (Wiley-VCH Verlag GmbH & Co. KGaA, Berlin, 2005)
A. Hosoya, Y. Shikano, J. Phys. A 43, 385307 (2010)
A.G. Kofman, S. Ashhab, F. Nori, Phys. Rep. 520, 43 (2012)
J. Dressel, M. Malik, F.M. Miatto, A.N. Jordan, R.W. Boyd, Rev. Mod. Phys. 86, 307 (2014)
G.C. Knee, E.M. Gauger, Phys. Rev. X 4, 011032 (2014)
X. Zhu, Y. Zhang, S. Pang, C. Qiao, Q. Liu, S. Wu, Phys. Rev. A 84, 052111 (2011)
S. Pang, T.A. Brun, https://doi.org/arXiv:1409.2567 (2014)
K. Nakamura, A. Nishizawa, M.K. Fujimoto, Phys. Rev. A 85, 012113 (2012)
Y. Turek, H. Kobayashi, T. Akutsu, C.P. Sun, Y. Shikano, New. J. Phys. 17, 083029 (2015)
Y. Turek, W. Maimaiti, Y. Shikano, C.P. Sun, M. Al-Amri, Phys. Rev. A 92, 022109 (2015)
Y. Kedem, L. Vaidman, Phys. Rev. Lett. 105, 230401 (2010)
L.B. Ho, N. Imoto, Phys. Lett. A 380, 2129 (2016)
L.B. Ho, N. Imoto, Phys. Rev. A 95, 032135 (2017)
Y.S. Weinstein, S. Lloyd, C. Tsall, Phys. Rev. Lett. 89, 214101 (2002)
D.F. Walls, G.J. Milburn,Quantum Optics (Springer, Berlin, 1994)
M.O. Scully, M.S. Zubairy,Quantum Optics (Cambridge University Press, Cambridge, England, 1997)
G.S. Agarwal,Quantum Optics (Cambridge University Press, Cambridge, England, 2013)
V.V. Dodonov, I.A. Malkin, V.I. Man’ko, Physica 72, 597 (1974)
I.A. Malkin, V.I. Man’ko,Dynamical Symmetries and Coherent States of Quantum Systems (Nauka, Moscow, 1979)
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Turek, Y., Yusufu, T. Generalized modular values with non-classical pointer states. Eur. Phys. J. D 72, 202 (2018). https://doi.org/10.1140/epjd/e2018-90258-8
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DOI: https://doi.org/10.1140/epjd/e2018-90258-8