Experimental test of high-dimensional quantum contextuality based on contextuality concentration

• URL: http://arxiv.org/abs/2209.02808v3
• Date: Tue, 4 Apr 2023 09:06:38 GMT
• Title: Experimental test of high-dimensional quantum contextuality based on contextuality concentration
• Authors: Zheng-Hao Liu, Hui-Xian Meng, Zhen-Peng Xu, Jie Zhou, Jing-Ling Chen, Jin-Shi Xu, Chuan-Feng Li, Guang-Can Guo, and Ad\'an Cabello
• Abstract summary: We show a family of noncontextuality inequalities whose maximum quantum violation grows with the dimension of the system. Our results advance the investigation of high-dimensional contextuality, its connection to the Clifford algebra, and its role in quantum computation.
• Score: 14.374078593775309
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Contextuality is a distinctive feature of quantum theory and a fundamental resource for quantum computation. However, existing examples of contextuality in high-dimensional systems lack the necessary robustness required in experiments. Here we address this problem by identifying a family of noncontextuality inequalities whose maximum quantum violation grows with the dimension of the system. At first glance, this contextuality is the single-system version of multipartite Bell nonlocality taken to an extreme form. What is interesting is that the single-system version achieves the same degree of contextuality but uses a Hilbert space of lower dimension. That is, contextuality ``concentrates'' as the degree of contextuality per dimension increases. We show the practicality of this result by presenting an experimental test of contextuality in a seven-dimensional system. By simulating sequences of quantum ideal measurements with destructive measurements and repreparation in an all-optical setup, we report a violation of 68.7 standard deviations of the simplest case of the noncontextuality inequalities identified. Our results advance the investigation of high-dimensional contextuality, its connection to the Clifford algebra, and its role in quantum computation.

Related papers

• Characterizing Contextuality via Rank Separation with Applications to Cloning [0.0]
  Quantum contextuality is a key nonclassical feature essential for understanding advantages in quantum computation and communication. We introduce a new framework to study contextuality based solely on information processing statistics. We show that quantum contextuality provides the resource in optimal phase-covariant and universal cloning schemes.
  arXiv  Detail & Related papers  (2024-06-27T17:56:04Z)
• A computational test of quantum contextuality, and even simpler proofs of quantumness [43.25018099464869]
  We show that an arbitrary contextuality game can be compiled into an operational "test of contextuality" involving a single quantum device. Our work can be seen as using cryptography to enforce spatial separation within subsystems of a single quantum device.
  arXiv  Detail & Related papers  (2024-05-10T19:30:23Z)
• Experimental Test of Quantum Nonlocality from Contextuality [1.6114012813668932]
  Bell inequalities can be violated by state-independent contextuality sets. We show a new way to produce non-locality using orbital angular momentum entanglement in a bipartite photonic system.
  arXiv  Detail & Related papers  (2024-02-29T13:31:41Z)
• Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems [0.0]
  We explore the relationship between Kochen-Specker quantum contextuality and Bell-nonclassicality for ensembles of two-qubit pure states. We present a comparative analysis showing that the violation of a noncontextuality inequality on a given quantum state reverberates on the Bell-nonclassicality of the considered state.
  arXiv  Detail & Related papers  (2023-10-13T12:14:11Z)
• Characterizing high-dimensional quantum contextuality [1.085294773316861]
  Quantum contextuality is an essential resource in many quantum information processing tasks. We provide systematic reliable methods for characterizing quantum contextuality in systems of fixed dimension. As an application, our methods reveal the non-dimensional quantum contextuality structure.
  arXiv  Detail & Related papers  (2022-12-22T09:31:37Z)
• Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
  We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees. Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation. We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
  arXiv  Detail & Related papers  (2022-03-30T02:02:16Z)
• Experimental violations of Leggett-Garg's inequalities on a quantum computer [77.34726150561087]
  We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems. Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
  arXiv  Detail & Related papers  (2021-09-06T14:35:15Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Operational Resource Theory of Imaginarity [48.7576911714538]
  We show that quantum states are easier to create and manipulate if they only have real elements. As an application, we show that imaginarity plays a crucial role for state discrimination.
  arXiv  Detail & Related papers  (2020-07-29T14:03:38Z)
• Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices [0.0]
  Violation of a noncontextuality inequality or the phenomenon referred to quantum contextuality' is a fundamental feature of quantum theory. We derive a novel family of noncontextuality inequalities along with their sum-of-squares decompositions. We prove that our inequalities can be used for self-testing of three-dimensional quantum state and measurements.
  arXiv  Detail & Related papers  (2020-02-27T16:01:53Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.