@inbook {1863, title = {Optimal robust self-testing by binary nonlocal XOR games}, booktitle = {8th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2013}, volume = {22}, year = {2013}, pages = {254{\textendash}262}, publisher = {Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing}, organization = {Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing}, abstract = {

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.

}, keywords = {nonlocal games, quantum cryptography, Random number generation, Self-testing}, doi = {10.4230/LIPIcs.TQC.2013.254}, author = {Carl Miller and Yaoyun Shi} }