Abstract
Dimension is an important resource in quantum information theory. Based on weak measurement technology, we propose the three-observer dimension witness protocol in a prepare-and-measure setup. By applying the dimension witness inequality based on the quantum random access code and the nonlinear determinant value, we demonstrate that double classical dimension witness violation is achievable if we choose appropriate weak measurement parameters. Analysis of the results will shed new light on the interplay between the multi-observer quantum dimension witness and the weak measurement technology, which can also be applied in the generation of semi-device-independent quantum random numbers and quantum key distribution protocols.
Highlights
Dimension is an important resource in quantum information theory, for instance, a high dimensional quantum system can enhance the performance of the quantum computation[1, 2], quantum entanglement[3], quantum communication complexity[4] and others, and it can reduce the security of certain practical quantum key distribution systems[5]
Inspired by the work of sharing nonlocality with weak measurement technology, three-observer classical dimension witness violation will be analyzed in this paper, in which we analyze the dimension witness inequality based on the quantum random access code and the nonlinear determinant value
Quantum dimension witness based on quantum random access code
Summary
Dimension is an important resource in quantum information theory. Based on weak measurement technology, we propose the three-observer dimension witness protocol in a prepare-and-measure setup. By applying the dimension witness inequality based on the quantum random access code and the nonlinear determinant value, we demonstrate that double classical dimension witness violation is achievable if we choose appropriate weak measurement parameters. Analysis of the results will shed new light on the interplay between the multi-observer quantum dimension witness and the weak measurement technology, which can be applied in the generation of semi-device-independent quantum random numbers and quantum key distribution protocols. Inspired by the work of sharing nonlocality with weak measurement technology, three-observer classical dimension witness violation will be analyzed in this paper, in which we analyze the dimension witness inequality based on the quantum random access code and the nonlinear determinant value. We demonstrate local and global randomness generation in the three-observer protocol, and the analysis method can be applied to future multi-observer quantum network studies
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