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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.
Dimension is an important resource in quantum information theory. By exploiting the weak measurement technique, the paper presents a three-observer dimension witness protocol which can be applied, among other protocols, in semi device-independent quantum information theory.
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Details
1 Zhengzhou Information Science and Technology Institute, Henan Key Laboratory of Quantum Information and Cryptography, Zhengzhou, China (GRID:grid.207374.5) (ISNI:0000 0001 2189 3846); University of Science and Technology of China, Key Laboratory of Quantum Information, Hefei, China (GRID:grid.59053.3a) (ISNI:0000000121679639); University of Science and Technology of China, Synergetic Innovation Center of Quantum Information and Quantum Physics, Hefei, China (GRID:grid.59053.3a) (ISNI:0000000121679639)
2 University of Science and Technology of China, Key Laboratory of Quantum Information, Hefei, China (GRID:grid.59053.3a) (ISNI:0000000121679639); University of Science and Technology of China, Synergetic Innovation Center of Quantum Information and Quantum Physics, Hefei, China (GRID:grid.59053.3a) (ISNI:0000000121679639)