Exploring the boundary of quantum correlations with a time-domain optical processor

• URL: http://arxiv.org/abs/2208.07794v3
• Date: Wed, 29 Jan 2025 19:13:10 GMT
• Title: Exploring the boundary of quantum correlations with a time-domain optical processor
• Authors: Zheng-Hao Liu, Yu Meng, Yu-Ze Wu, Ze-Yan Hao, Zhen-Peng Xu, Cheng-Jun Ai, Hai Wei, Kai Wen, Jing-Ling Chen, Jie Ma, Jin-Shi Xu, Chuan-Feng Li, Guang-Can Guo,
• Abstract summary: We derive a GHZ-type paradox with a context-cover number of three and show this number saturates the lower bound posed by quantum theory. By proposing and studying a strong form of contextuality in high-dimensional Hilbert space, our results pave the way for the exploration of exotic quantum correlations with time-multiplexed optical systems.
• Score: 16.003717185276052
• License:
• Abstract: Contextuality is a hallmark feature of the quantum theory that captures its incompatibility with any noncontextual hidden-variable model. The Greenberger--Horne--Zeilinger (GHZ)-type paradoxes are proofs of contextuality that reveal this incompatibility with deterministic logical arguments. However, the GHZ-type paradox whose events can be included in the fewest contexts and which brings the strongest nonclassicality remains elusive. Here, we derive a GHZ-type paradox with a context-cover number of three and show this number saturates the lower bound posed by quantum theory. We demonstrate the paradox with a time-domain fiber optical platform and recover the quantum prediction in a 37-dimensional setup based on high-speed modulation, convolution, and homodyne detection of time-multiplexed pulsed coherent light. By proposing and studying a strong form of contextuality in high-dimensional Hilbert space, our results pave the way for the exploration of exotic quantum correlations with time-multiplexed optical systems.

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