|Title||Optimal robust self-testing by binary nonlocal XOR games|
|Publication Type||Book Chapter|
|Year of Publication||2013|
|Authors||Miller, C, Shi, Y|
|Book Title||8th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2013|
|Publisher||Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing|
|Keywords||nonlocal games, quantum cryptography, Random number generation, Self-testing|
Self-testing a quantum apparatus means verifying the existence of a certain quantum state as well as the effect of the associated measuring devices based only on the statistics of the measurement outcomes. Robust (i.e., error-tolerant) self-testing quantum apparatuses are critical building blocks for quantum cryptographic protocols that rely on imperfect or untrusted devices. We devise a general scheme for proving optimal robust self-testing properties for tests based on nonlocal binary XOR games. We offer some simplified proofs of known results on self-testing, and also prove some new results.