Robust Self Testing of Unknown Quantum Systems into Any Entangled Two-Qubit States

Abstract

Self testing is a device independent approach to estimate the state and measurement operators, without the need to assume the dimension of our quantum system. In this paper, we show that one can self test black boxes into any pure entangled two-qubit state, by performing simple Bell type experiments. The approach makes use of only one family of two-inputs/two-outputs Bell inequalities. Furthermore, we outline the sufficient conditions for one to self test any dimensional bipartite entangled state. All these methods are robust to small but inevitable experimental errors.

14 pages, 3 figures

References in corpus (7)

• Device-independent security of quantum cryptography against collective attacks
• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Device-independent quantum key distribution secure against collective attacks
• Secure device-independent quantum key distribution with causally independent measurement devices
• Robust Self Testing of the Singlet
• Device-independent certification of entangled measurements
• Device-independent bounds for Hardy's experiment

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