Bulletin of the American Physical Society
APS March Meeting 2014
Volume 59, Number 1
Monday–Friday, March 3–7, 2014; Denver, Colorado
Session T33: Focus Session: Quantum Foundations: Interpretations, Contextuality, and Nonlocality
11:15 AM–2:03 PM,
Thursday, March 6, 2014
Sponsoring Unit: GQI
Chair: William Wootters, Williams College
Abstract ID: BAPS.2014.MAR.T33.2
Abstract: T33.00002 : Testability of the Pusey-Barrett-Rudolph Theorem*
11:27 AM–11:39 AM
Preview Abstract Abstract
Seyyed Mohammad Hassan Halataei
(University of Illinois at Urbana Champaign)
Pusey, Barrett, and Rudolph (PBR) proved a mathematically neat theorem which assesses the reality of the quantum state. They proposed a test such that if any pair of quantum states could pass it, then for small deviation in the probabilities of measurement outcomes, $\epsilon$, from the predicted quantum probabilities, one can conclude that the physical state $\lambda$ ``is normally closely associated with only one of the two quantum states.'' While the mathematics of their theorem is correct, the physical conclusion is incomplete. In this talk, I present an argument which greatly limits the conclusion one can draw from even a successful PBR test. Specifically, I show that the physical state can be associated with several quantum states and, thus, the reality of quantum states cannot be deduced.
*This work was supported by the MacArthur Professorship endowed by the John D. and Catherine T. MacArthur Foundation at the University of Illinois.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2014.MAR.T33.2
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