Causal games of work extraction with indefinite causal order

• URL: http://arxiv.org/abs/2208.02550v4
• Date: Sat, 15 Oct 2022 15:52:24 GMT
• Title: Causal games of work extraction with indefinite causal order
• Authors: Gianluca Francica
• Abstract summary: We consider the existence of two cooperating local Maxwell's demons which try to exploit the presence of global correlations and indefinite causal order. We prove that it is possible to have a larger probability to lower the local energy to zero if causal inequalities are violated, and that can be extracted more average work with respect to a definite causal order.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: An indefinite causal order, where the causes of events are not necessarily in past events, is predicted by the process matrix framework. A fundamental question is how these non-separable causal structures can be related to the thermodynamic phenomena. Here, we approach this problem by considering the existence of two cooperating local Maxwell's demons which try to exploit the presence of global correlations and indefinite causal order to optimize the extraction of work. Thus, we prove that it is possible to have a larger probability to lower the local energy to zero if causal inequalities are violated, and that can be extracted more average work with respect to a definite causal order. However, for non-interacting parties, for the system considered the work extractable cannot be larger than the definite causal order bound.

Related papers

• Achieving Maximal Causal Indefiniteness in a Maximally Nonlocal Theory [0.0]
  We show that in maximal theories, respecting non-signalling relations, single system state-spaces do not admit superposition; however, composite systems do. We provide a concrete example of a maximally Bell-nonlocal theory, which allows for post-quantum violations of theory-independent inequalities. These findings might point towards potential connections between a theory's ability to admit indefinite causal order, Bell-nonlocal correlations and the structure of its state spaces.
  arXiv  Detail & Related papers  (2024-11-06T19:01:47Z)
• Tsirelson bounds for quantum correlations with indefinite causal order [4.162019309587634]
  We provide a general method for bounding the violation of arbitrary causal inequalities. We prove that the maximum violation is generally smaller than the algebraic maximum. Surprisingly, we find that the algebraic maximum of arbitrary causal inequalities can be achieved by a new type of processes.
  arXiv  Detail & Related papers  (2024-03-05T08:07:10Z)
• Causal Layering via Conditional Entropy [85.01590667411956]
  Causal discovery aims to recover information about an unobserved causal graph from the observable data it generates. We provide ways to recover layerings of a graph by accessing the data via a conditional entropy oracle.
  arXiv  Detail & Related papers  (2024-01-19T05:18:28Z)
• Invariant Causal Set Covering Machines [64.86459157191346]
  Rule-based models, such as decision trees, appeal to practitioners due to their interpretable nature. However, the learning algorithms that produce such models are often vulnerable to spurious associations and thus, they are not guaranteed to extract causally-relevant insights. We propose Invariant Causal Set Covering Machines, an extension of the classical Set Covering Machine algorithm for conjunctions/disjunctions of binary-valued rules that provably avoids spurious associations.
  arXiv  Detail & Related papers  (2023-06-07T20:52:01Z)
• Nonparametric Identifiability of Causal Representations from Unknown Interventions [63.1354734978244]
  We study causal representation learning, the task of inferring latent causal variables and their causal relations from mixtures of the variables. Our goal is to identify both the ground truth latents and their causal graph up to a set of ambiguities which we show to be irresolvable from interventional data.
  arXiv  Detail & Related papers  (2023-06-01T10:51:58Z)
• Reassessing thermodynamic advantage from indefinite causal order [0.0]
  Indefinite causal order is a key feature involved in the study of quantum higher order transformations. We show that indefinite causal order is not necessary for the reported increase in free energy and ergotropy.
  arXiv  Detail & Related papers  (2022-08-05T14:41:49Z)
• Active Bayesian Causal Inference [72.70593653185078]
  We propose Active Bayesian Causal Inference (ABCI), a fully-Bayesian active learning framework for integrated causal discovery and reasoning. ABCI jointly infers a posterior over causal models and queries of interest. We show that our approach is more data-efficient than several baselines that only focus on learning the full causal graph.
  arXiv  Detail & Related papers  (2022-06-04T22:38:57Z)
• Causal Expectation-Maximisation [70.45873402967297]
  We show that causal inference is NP-hard even in models characterised by polytree-shaped graphs. We introduce the causal EM algorithm to reconstruct the uncertainty about the latent variables from data about categorical manifest variables. We argue that there appears to be an unnoticed limitation to the trending idea that counterfactual bounds can often be computed without knowledge of the structural equations.
  arXiv  Detail & Related papers  (2020-11-04T10:25:13Z)
• From Checking to Inference: Actual Causality Computations as Optimization Problems [79.87179017975235]
  We present a novel approach to formulate different notions of causal reasoning, over binary acyclic models, as optimization problems. We show that both notions are efficiently automated. Using models with more than $8000$ variables, checking is computed in a matter of seconds, with MaxSAT outperforming ILP in many cases.
  arXiv  Detail & Related papers  (2020-06-05T10:56:52Z)
• Thermodynamic advancement in the causally inseparable occurrence of thermal maps [0.0]
  We show that the application of two different thermal channels in the causally inseparable order can enhance the potential to extract work. This enhancement is also possible even without assigning any thermodynamic resource value to the controlling qubit.
  arXiv  Detail & Related papers  (2020-03-03T11:45:52Z)
• Cyclic Quantum Causal Models [0.0]
  Causal reasoning is essential to science, yet quantum theory challenges it. Quantum correlations violating Bell inequalities defy satisfactory causal explanations. A theory encompassing quantum systems and gravity is expected to allow causally nonseparable processes.
  arXiv  Detail & Related papers  (2020-02-27T15:07:22Z)

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.