Weak value distributions for spin 1/2

M. V. Berry, M. R. Dennis, B. McRoberts, P. Shukla

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)

Abstract

The simplest weak measurement is of a component of spin 1/2. For this observable, the probability distributions of the real and imaginary parts of the weak value, and their joint probability distribution, are calculated exactly for pre- and postselected states uniformly distributed over the surface of the Poincare-Bloch sphere. The superweak probability, that the real part of the weak value lies outside the spectral range, is 1/3. This case, with just two eigenvalues, complements our previous calculation (Berry and Shukla 2010 J. Phys. A: Math. Theor. 43 354024) of the universal form of the weak value probability distribution for an operator with many eigenvalues.

Original languageEnglish
Article number205301
Pages (from-to)-
Number of pages8
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number20
DOIs
Publication statusPublished - 20 May 2011

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