Quantum Steering and Space-Like Separation

Miguel Navascues, David Perez-Garcia

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


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.
Original languageUndefined/Unknown
JournalPhysical Review Letters
Publication statusPublished - 27 Apr 2012

Bibliographical note

Some typos corrected. Short discussion about Algebraic Quantum Field Theory. Modified introduction and conclusion


  • quant-ph

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