Realization of algorithmic identification of cause and effect in quantum correlations

• URL: http://arxiv.org/abs/2304.10192v1
• Date: Thu, 20 Apr 2023 10:06:38 GMT
• Title: Realization of algorithmic identification of cause and effect in quantum correlations
• Authors: Zhao-An Wang, Yu Meng, Zheng-Hao Liu, Yi-Tao Wang, Shang Yu, Wei Liu, Zhi-Peng Li, Yuan-Ze Yang, Nai-Jie Guo, Xiao-Dong Zeng, Jian-Shun Tang, Chuan-Feng Li, and Guang-Can Guo
• Abstract summary: A quantum perspective of correlations holds the promise of overcoming the limitation by Reichenbach's principle. We have devised an algorithm capable of identifying any two-qubit statistical correlations generated by the two basic causal structures under an observational scenario. Our result paves the way for studying quantum causality in general settings.
• Score: 13.164461672508711
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Causal inference revealing causal dependencies between variables from empirical data has found applications in multiple sub-fields of scientific research. A quantum perspective of correlations holds the promise of overcoming the limitation by Reichenbach's principle and enabling causal inference with only the observational data. However, it is still not clear how quantum causal inference can provide operational advantages in general cases. Here, we have devised a photonic setup and experimentally realized an algorithm capable of identifying any two-qubit statistical correlations generated by the two basic causal structures under an observational scenario, thus revealing a universal quantum advantage in causal inference over its classical counterpart. We further demonstrate the explainability and stability of our causal discovery method which is widely sought in data processing algorithms. Employing a fully observational approach, our result paves the way for studying quantum causality in general settings.

Related papers

• Quantum Non-classicality from Causal Data Fusion [0.8437187555622164]
  Bell's theorem shows that quantum correlations are incompatible with a classical theory of cause and effect. We investigate the problem of causal data fusion that aims to piece together data tables collected under heterogeneous conditions. We demonstrate the existence of quantum non-classicality resulting from data fusion, even in scenarios where achieving standard Bell non-classicality is impossible.
  arXiv  Detail & Related papers  (2024-05-29T16:35:59Z)
• Observational-Interventional Bell Inequalities [0.3769303106863453]
  Generalizations of Bell's theorem, particularly within quantum networks, are being analyzed through causal inference lens. We propose novel hybrid Bell inequalities integrating observational and interventional data. We show a significant enhancement regarding threshold detection efficiencies for quantum violations.
  arXiv  Detail & Related papers  (2024-04-07T16:49:25Z)
• Identification of Causal Influences in Quantum Processes [0.0]
  A major obstacle to a theory of causal identification in the quantum setting is the question of what should play the role of "observational data" We present sufficient conditions for quantum causal identification, starting with a quantum analogue of the well-known "front-door criterion" Results emerge from generalizing the process-theoretic account of classical causal inference due to Jacobs, Kissinger, and Zanasi.
  arXiv  Detail & Related papers  (2023-11-15T11:41:18Z)
• Advancing Counterfactual Inference through Nonlinear Quantile Regression [77.28323341329461]
  We propose a framework for efficient and effective counterfactual inference implemented with neural networks. The proposed approach enhances the capacity to generalize estimated counterfactual outcomes to unseen data. Empirical results conducted on multiple datasets offer compelling support for our theoretical assertions.
  arXiv  Detail & Related papers  (2023-06-09T08:30:51Z)
• Valid Inference After Causal Discovery [73.87055989355737]
  We develop tools for valid post-causal-discovery inference. We show that a naive combination of causal discovery and subsequent inference algorithms leads to highly inflated miscoverage rates.
  arXiv  Detail & Related papers  (2022-08-11T17:40:45Z)
• Efficient Distinction between Quantum Direct and Common Causes and its Experimental Verification [15.082156478846654]
  We introduce a quantity named Causal Determinant' to efficiently identify the quantum causal structures between two quantum systems. According to the causal determinant, the quantum direct cause imposed by an arbitrary unitary operator can be perfectly discriminated with the quantum common cause.
  arXiv  Detail & Related papers  (2022-03-05T14:12:37Z)
• 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)
• BayesIMP: Uncertainty Quantification for Causal Data Fusion [52.184885680729224]
  We study the causal data fusion problem, where datasets pertaining to multiple causal graphs are combined to estimate the average treatment effect of a target variable. We introduce a framework which combines ideas from probabilistic integration and kernel mean embeddings to represent interventional distributions in the reproducing kernel Hilbert space.
  arXiv  Detail & Related papers  (2021-06-07T10:14:18Z)
• 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)
• Enhancing nonclassical bosonic correlations in a Quantum Walk network through experimental control of disorder [50.591267188664666]
  We experimentally realize a controllable inhomogenous Quantum Walk dynamics. We observe two photon states which exhibit an enhancement in the quantum correlations between two modes of the network.
  arXiv  Detail & Related papers  (2021-02-09T10:57:00Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.