Abstract
Quantum steering, as a cornerstone of quantum information, is usually used to witness the quantum correlation of bipartite and multi-partite states. Here, we experimentally demonstrate the quantum steering inequality of two-qubit mixed states based on the fine-grained uncertainty relation. Our experimental results show that the steering inequality has potent sensitivity to Werner states and Bell diagonal states. The steering strategy exhibits a strong ability to identify that Werner states are steerable when the decoherence coefficient a>12. Compared to the steering inequality obtained by another stratagem, the steering witness criteria of mixed states based on the fine-grained uncertainty relation demonstrated in our experiment has better precision and accuracy. Moreover, the detection efficiency in our measurement setup is only required to be 50% to close the detection loophole, which means our approach needs less detector efficiency to certificate the steerability of mixed states.
Highlights
IntroductionFine-Grained Steering Inequality of Quantum nonlocality [1,2,3], as a fundamental feature of quantum theory, divides into quantum entanglement [4,5], quantum steering [6,7,8,9] and Bell nonlocality [10,11,12,13]
Fine-Grained Steering Inequality of Quantum nonlocality [1,2,3], as a fundamental feature of quantum theory, divides into quantum entanglement [4,5], quantum steering [6,7,8,9] and Bell nonlocality [10,11,12,13]based on the degree of correlation
Compared to the fully device-independent protocol of an analog of the Bell-CHSH-type steering inequalities, in which the detection efficiency required is up to 83% [42], our approach needs less detector efficiency to certificate the steerablity of mixed states
Summary
Fine-Grained Steering Inequality of Quantum nonlocality [1,2,3], as a fundamental feature of quantum theory, divides into quantum entanglement [4,5], quantum steering [6,7,8,9] and Bell nonlocality [10,11,12,13]. Consider a system where Alice and Bob share a quantum state; they apply a couple of observables to their own sub-systems and obtain the joint probability distribution. The state is labeled as steerability if the probability cannot be described by any local hidden state (LHS) models Another way of speaking, the state is steerable if the specific combination of joint probability distribution violates the corresponding quantum steering inequality. Pramanik et al put forward the fine-grained steering (FGS) inequality and discussed the steerability of different quantum states [30]. The experimental demonstration of the FGS inequality of any two-qubit pure entangled states has been realized in Ref.
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