Compressing the hidden variable space of a qubit

Preprint English OPEN
Montina, Alberto;
(2010)

In previously exhibited hidden variable models of quantum state preparation and measurement, the number of continuous hidden variables describing the actual state of a single realization is never smaller than the quantum state manifold dimension. We introduce a simple m... View more
  • References (10)

    tist (Open Court, 1949); A. Einstein, Ideas and Opinions

    (New York: Crown Publishing Co., 1954). [4] R. Jozsa, A. Miyake, Proc. R. Soc. A 464, 3089 (2008). [5] M. Van den Nest, Quant. Inf. Comp. 10 0258 (2010); M.

    Van den Nest, arXiv:0911.1624. [6] L. Hardy, Stud. Hist. Phil. Sci. B 35, 267 (2004). [7] A. Montina, Phys. Rev. Lett. 97, 180401 (2006); A. Mon-

    tina, J. Phys.: Conf. Ser. 67, 012050 (2007). [8] A. Montina, Phys. Rev. A 77, 022104 (2008). [9] N. Harrigan, T. Rudolph, S. Aaronson, arxiv:quant-

    ph/0709.1149. [10] T. Paterek, B. Daki´c, and C. Brukner, Phys. Rev. Lett.

    101, 190402 (2008). [11] In Ref. [8] the theorem proof needed a hypothesis of tra-

    details in A. Montina, arXiv:1008.4415. [12] J. A. Wheeler, R. P. Feynman, Rev. Mod. Phys. 17, 157

    (1945); ibid. 21, 425 (1949). [13] K. B. Wharton, Found. Phys. 40, 313 (2010). [14] S. Kochen and E. P. Specker, J. Math. Mech. 17, 59

    (1967). [15] G. Beltrametti and S. Bugajski, J. Phys. A 28, 3329

    (1995). [16] E. Wigner, Phys. Rev. 40, 749 (1932). [17] K. Husimi, Proc. Phys. Math. Soc. Jpn. 22, 264 (1940). [18] The projective Hilbert space can be considered as a man-

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