Abstract
In this work, we will review studies showing that non-classical, discord-like correlations do not necessarily describe a statistical dependence between measurements performed by non-communicating parties. We will explain how they yield the impossibility of global observers to obtain full knowledge of local properties of quantum systems.
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D. Girolami, J. Phys. Conf. Ser. 626, 012042 (2015)
H. Ollivier, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2002)
L. Henderson, V. Vedral, J. Phys. A Math. Gen. 34, 6899 (2001)
K. Modi, A. Brodutch, H. Cable, T. Paterek, V. Vedral, Rev. Mod. Phys. 84, 1655 (2012)
P.A.M. Dirac, The Principles of Quantum Mechanics (Oxford University Press, Oxford, 1930)
G.I. Taylor, Proc. Cam. Phil. Soc. 15, 114 (1909)
J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, New Jersey, 1955)
S. Luo, Phys. Rev. Lett. 91, 180403 (2003)
F. Herbut, J. Phys. A 38, 2959 (2005)
E.P. Wigner, M.M. Yanase, Proc. Natl. Acad. Sci. USA 49, 910 (1963)
W. Heisenberg, Z. Phys. 43, 172 (1927)
D. Girolami, T. Tufarelli, G. Adesso, Phys. Rev. Lett. 110, 240402 (2013)
V. Giovannetti, S. Lloyd, L. Maccone, Nature Photon. 5, 222 (2011)
G. Tóth, I. Apellaniz, J. Phys. A Math. Theor. 47, 424006 (2014)
C.W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, Cambridge, 1976)
S.L. Braunstein, C.M. Caves, Phys. Rev. Lett. 72, 3439 (1994)
S.D. Bartlett, T. Rudolph, R.W. Spekkens, Rev. Mod. Phys. 79, 555 (2007)
D. Girolami, A.M. Souza, V. Giovannetti, T. Tufarelli, J.G. Filgueiras, R.S. Sarthour, D.O. Soares-Pinto, I.S. Oliveira, G. Adesso, Phys. Rev. Lett. 112, 210401 (2014)
I. Bengtsson, K. Zyczkowski, Geometry of Quantum States (Cambridge University Press, Cambridge, 2007)
A. Farace, A. De Pasquale, L. Rigovacca, V. Giovannetti, New J. Phys. 16, 073010 (2014)
K.M.R. Audenaert, J. Calsamiglia, R. Munoz-Tapia, E. Bagan, Ll Masanes, A. Acin, F. Verstraete, Phys. Rev. Lett. 98, 160501 (2007)
S. Lloyd, Science 321, 1463 (2008)
C. Weedbrook, S. Pirandola, J. Thompson, V. Vedral, M. Gu, New J. Phys. 18, 043027 (2016)
G. Adesso, Phys. Rev. A 90, 022321 (2014)
L.A.M. Souza, H.S. Dhar, M.N. Bera, P. Liuzzo-Scorpo, G. Adesso, Phys. Rev. A 92, 052122 (2015)
L. Rigovacca, A. Farace, A. De Pasquale, V. Giovannetti, Phys. Rev. A 92, 042331 (2015)
D. Spehner, M. Orszag, New J. Phys. 15, 103001 (2013)
W. Roga, S.M. Giampaolo, F. Illuminati, J. Phys. A Math. Theor. 47, 365301 (2014)
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Bogaert, P., Girolami, D. (2017). Metrological Measures of Non-classical Correlations. In: Fanchini, F., Soares Pinto, D., Adesso, G. (eds) Lectures on General Quantum Correlations and their Applications. Quantum Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-53412-1_7
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