Abstract
Tsirelson’s problem deals with how to model separate measurements in quantum mechanics. In addition to its theoretical importance, the resolution of Tsirelson’s problem could have great consequences for device independent quantum key distribution and certified randomness. Unfortunately, understanding present literature on the subject requires a heavy mathematical background. In this paper, we introduce quansality, a new theoretical concept that allows to reinterpret Tsirelson’s problem from a foundational point of view. Using quansality as a guide, we recover all known results on Tsirelson’s problem in a clear and intuitive way.
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Notes
Note the relation with the concept of steering in Quantum Information Theory [12].
More concretely, that the spectrum of the Hamiltonian H does not have accumulation points. This is always the case if H describes a finite number of trapped non-relativistic particles subject to a potential bounded from below.
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Acknowledgements
This work was funded by the projects QUITEMAD, QUEVADIS, I-MATH and MTM2008-01366.
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Navascués, M., Cooney, T., Pérez-García, D. et al. A Physical Approach to Tsirelson’s Problem. Found Phys 42, 985–995 (2012). https://doi.org/10.1007/s10701-012-9641-0
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DOI: https://doi.org/10.1007/s10701-012-9641-0