Probe of Generic Quantum Contextuality and Nonlocality for qubits

• URL: http://arxiv.org/abs/2504.11238v1
• Date: Tue, 15 Apr 2025 14:40:28 GMT
• Title: Probe of Generic Quantum Contextuality and Nonlocality for qubits
• Authors: Wei Li, Min-Xuan Zhou, Yun-Hao Shi, Z. D. Wang, Heng Fan, Yan-Kui Bai,
• Abstract summary: We show that the entropic uncertainty relation (EUR) is able to connect intrinsically generic quantum contextuality and nonlocal entanglement.<n>From a nonlocal viewpoint, we show that the single-party contextuality and two-party entanglement are related by the EUR with quantum memories.
• Score: 6.975100375755745
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum contextuality, entanglement, and uncertainty relation are remarkable nonclassical phenomena featured by quantum theory. Here we show that the entropic uncertainty relation (EUR) is able to connect intrinsically generic quantum contextuality and nonlocal entanglement. Based on a local scenario, it is proven rigorously that the EUR with optimal measurements can faithfully witness the preparation contextuality addressed in the pioneering work by Spekkens. From a nonlocal viewpoint, we show that the single-party contextuality and two-party entanglement are related by the EUR with quantum memories, which is captured by a trade-off inequality that limits the nonclassicality distribution for a composite quantum system. Moreover, we derive another kind of trade-off inequality between quantum contextuality and Bell nonlocality. It is revealed that both inequalities can be probed experimentally, and two well-designed independent experiments are performed to verify our theoretical predictions in superconducting qubits.

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