publication . Preprint . Article . 2018

-ontology result without the Cartesian product assumption

Myrvold, Wayne C.;
Open Access
  • Published: 11 Mar 2018
  • Publisher: American Physical Society (APS)
We introduce a weakening of the Preparation Independence Postulate of Pusey, Barrett, and Rudolph that does not presuppose that the space of ontic states resulting from a product state preparation can be represented by the Cartesian product of subsystem state spaces. On the basis of this weakened assumption, it is shown that, in any model that reproduces the quantum probabilities, any pair of pure quantum states $\ket{\psi}$, $\ket{\phi}$ with $\bkt{\phi}{\psi} \leq 1/\sqrt{2}$ must be ontologically distinct.
Persistent Identifiers
FOS: 01 natural sciences0103 physical sciences010306 general physics010305 fluids & plasmas
arXiv: Physics::General Physics
free text keywords: Quantum Physics, Cartesian product, symbols.namesake, symbols, State (functional analysis), Space (mathematics), Mathematical physics, Quantum, Basis (universal algebra), Physics, Product (mathematics), Quantum state, Independence (probability theory)

box 1 or 2.

FIG. 1: The probability distributions for the example.

(a) P00

[1] M. Pusey, J. Barrett, and T. Rudolph, Nature Physics 8, 475 (2012).

[2] N. Harrigan and R. W. Spekkens, Foundations of Physics 40, 125157 (2010).

[3] M. S. Leifer, Quanta 3, 67 (2014).

[4] R. Clifton and H. Halvorson, Studies in History and Philosophy of Modern Physics 32, 1 (2001).

[5] J. Emerson, D. Serbin, C. Sutherland, and V. Veitch, arXiv:1312.1345v1[quant-ph].

[6] S. Mansfield, Physical Review A 94, 042124 (2016).

[7] S. Aaronson, A. Bouland, L. Chua, and G. Lowther, Physical Review A 88, 032111 (2013).

[8] C. Moseley, (2013), arXiv:1401.0026v1 [quant-ph].

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