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.

35 pages. Added references, corrected typos

References in corpus (9)

• Robust Self Testing of the Singlet
• Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing
• Robust and versatile black-box certification of quantum devices
• Robust self-testing of many-qubit states
• Test for a large amount of entanglement, using few measurements
• The Parallel-Repeated Magic Square Game is Rigid
• Self testing quantum apparatus
• Overlapping qubits
• Self-testing high dimensional states using the generalized magic square game

Cited by in corpus (8)

• All Pure Bipartite Entangled States can be Self-Tested
• Robust self-testing of many-qubit states
• Low-degree testing for quantum states, and a quantum entangled games PCP for QMA
• Test for a large amount of entanglement, using few measurements
• The Parallel-Repeated Magic Square Game is Rigid
• Entanglement in non-local games and the hyperlinear profile of groups
• Experimental self-testing of entangled states
• Quantum dimension test using the uncertainty principle