Journal
PHYSICAL REVIEW LETTERS
Volume 102, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.110404
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Funding
- Erwin Schrordinger Institute
- Austrian Academy of Sciences,
- EPSRC
- QIP IRC
- Royal Society
- Wolfson Foundation
- National Research Foundation (Singapore)
- Ministry of Education (Singapore)
- Austrian Science Foundation FWF [P19570N16]
- European Commission [015846]
- FWF Doctoral Program CoQuS
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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.
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