Nonlocality plays a fundamental role in quantum information science. Recently, it has been theoretically predicted and experimentally demonstrated that the nonlocality from an entangled pair can be shared among multiple observers using weak measurements with moderate strength.Here we report an observation of a counterintuitive result that nonlocality sharing can be achieved using weak measurements with very strong measurement strength. Our result not only sheds light on the interplay between nonlocality and quantum measurements, but also may find applications in quantum steering, unbounded randomness certification and quantum communication network.

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In quantum information science, a major task is to find the quantum models that can outperform their classical counterparts. Automaton is a fundamental computing model that has wide applications in many fields. It has been shown that the quantum version of automaton can solve certain problem using a much smaller state space compared to the classical automaton. Here we report an experimental demonstration of an optical quantum automaton, which is used to solve the promise problems of determining whether the length of an input string can be divided by a prime number P with no remainder or with a remainder of R. Our quantum automaton can solve such problem using a state space with only three orthonormal states, whereas the classical automaton needs no less than P states. Our results demonstrate the quantum benefits of a quantum automaton over its classical counterpart and paves the way for implementing quantum automaton for more complicated and practical applications.

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