Robust Self Testing of the Singlet

Understand

In this paper, we introduce a general framework to study the concept of robust self testing which can be used to self test EPR pairs and local measurement operators.

• The result is based only on probabilities obtained from experiment, with tolerance to experimental errors.
• In particular, we show that if results of experiment come approach the Cirel'son bound, or approximates the Mayers-Yao type correlation, then the experiment must contain an approximate EPR pair.
• More specifically, there exist local bases in which the physical state is close to an EPR pair, possibly all encoded in a larger environment or ancilla.