6,655 research outputs found
Classical Three-Box "paradox"
A simple classical probabilistic system (a simple card game) classically
exemplifies Aharonov and Vaidman's "Three-Box 'paradox'" [J. Phys. A 24, 2315
(1991)], implying that the Three-Box example is neither quantal nor a paradox
and leaving one less difficulty to busy the interpreters of quantum mechanics.
An ambiguity in the usual expression of the retrodiction formula is shown to
have misled Albert, Aharonov, and D'Amato [Phys. Rev. Lett. 54, 5 (1985)] to a
result not, in fact, "curious"; the discussion illustrates how to avoid this
ambiguity.Comment: 10 pages. v4: As published, with corrections and updated reference
Uniqueness of a convex sum of products of projectors
Relative to a given factoring of the Hilbert space, the decomposition of an
operator into a convex sum of products over sets of distinct 1-projectors, one
set linearly independent, is unique.Comment: 4 pages. v2: Minor clarifications in Section III; as accepted for
publication in J Math Phy
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