Parallel self-testing of (tilted) EPR pairs via copies of (tilted) CHSH
Abstract
Device-independent self-testing allows a verifier to certify that potentially malicious parties hold on to a specific quantum state, based only on the observed correlations. Parallel self-testing has recently been explored, aiming to self-test many copies (i.e. a tensor product) of the target state concurrently. In this work, we show that $n$ EPR pairs can be self-tested in parallel through $n$ copies of the well known CHSH game. We generalise this result further to a parallel self-test of $n$ tilted EPR pairs with arbitrary angles, and finally we show how our results and calculations can also be applied to obtain a parallel self-test of $2n$ EPR pairs via $n$ copies of the Mermin-Peres magic square game.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.03687
- arXiv:
- arXiv:1609.03687
- Bibcode:
- 2016arXiv160903687C
- Keywords:
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- Quantum Physics
- E-Print:
- 35 pages. Added references, corrected typos