Juan León, Instituto de Física Fundamental (CSIC)
Tsirelson's problem [1] deals with the applicability to infinite dimensional Hilbert spaces of some results concerning the behaviour of separate quantum subsystems, valid for finite dimensional cases. Specifically, it enquires whether or not the commutative behaviours of the infinite dimensional Hilbert spaces can be approximated by tensor behaviours proper of the finite dimensional cases.
In this talk I will review some physical insights on this problem [2] and apply them to localized remote subsystems [3] and some settings of interest for RQI.
[1] B.S. Tsirelson, Hadronic J. Supp. 8, 329 (1993).
[2] M. Navascués, T. Cooney, D. Pérez-García, N. Villanueva, Found. Phys. 42, 985 (2012).
[3] E. G. Brown, M. del Rey, H. Westman, J. Leon, A. Dragan, Phys. Rev. D 91, 016005 (2015)