Positive Phase Space Transformation Incompatible with Classical Physics
- Author(s)
- Wonmin Son, Johannes Kofler, Myungshik Kim, Vlatko Vedral, Caslav Brukner
- Abstract
Bell conjectured that a positive Wigner function does not allow violation of the inequalities imposed by local hidden variable theories. A requirement for this conjecture is “when phase space measurements are performed.” We introduce the theory-independent concept of “operationally local transformations” which refers to the change of the switch on a local measurement apparatus. We show that two separated parties, performing only phase space measurements on a composite quantum system with a positive Wigner function and performing only operationally local transformations that preserve this positivity, can nonetheless violate Bell’s inequality. Such operationally local transformations are realized using entangled ancillae.
- Organisation(s)
- Quantum Optics, Quantum Nanophysics and Quantum Information
- External organisation(s)
- National University of Singapore (NUS), Queen's University Belfast, University of Leeds
- Journal
- Physical Review Letters
- Volume
- 102
- No. of pages
- 4
- ISSN
- 0031-9007
- DOI
- https://doi.org/10.1103/PhysRevLett.102.110404
- Publication date
- 2009
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103026 Quantum optics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/positive-phase-space-transformation-incompatible-with-classical-physics(7c802a94-6f36-46ae-8864-773a8fc6f29b).html