Quantum Steering and Space-Like Separation
arXiv:1204.6220 · doi:10.1103/PhysRevLett.109.160405
Abstract
In non-relativistic quantum mechanics, measurements performed by separate observers are modeled via tensor products. In Algebraic Quantum Field Theory, though, local observables corresponding to space-like separated parties are just required to commute. The problem of determining whether these two definitions of "separation" lead to the same set of bipartite correlations is known in non-locality as Tsirelson's problem. In this article, we prove that the analog of Tsirelson's problem in steering scenarios is false. That is, there exists a steering inequality that can be violated or not depending on how we define space-like separation at the operator level.
Some typos corrected. Short discussion about Algebraic Quantum Field Theory. Modified introduction and conclusion
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- Experimental quantification of asymmetric Einstein-Podolsky-Rosen steering
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- Einstein-Podolsky-Rosen Steering and Quantum Steering Ellipsoids: Optimal Two-Qubit States and Projective Measurements
- Satellite-based quantum steering under the influence of spacetime curvature of the Earth
- Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement
- Random and free observables saturate the Tsirelson bound for CHSH inequality
- Operator space approach to steering inequality
- Tripartite quantum steering in Schwarzschild spacetime