# Separation of finite and infinite-dimensional quantum correlations, with infinite question or answer sets

@article{Coladangelo2017SeparationOF, title={Separation of finite and infinite-dimensional quantum correlations, with infinite question or answer sets}, author={Andrea Coladangelo and J. Stark}, journal={arXiv: Quantum Physics}, year={2017} }

Completely determining the relationship between quantum correlation sets is a long-standing open problem, known as Tsirelson's problem. Following recent progress by Slofstra [arXiv:1606.03140 (2016), arXiv:1703.08618 (2017)] only two instances of the problem remain open. One of them is the question of whether the set of finite-dimensional quantum correlations is strictly contained in the set of infinite-dimensional ones (i.e. whether $\mathcal C_{q} \neq \mathcal C_{qs}$). The usual formulation… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 21 REFERENCES

Tsirelson's problem and an embedding theorem for groups arising from non-local games

- Physics, Mathematics
- 2016

61