Integrated Information in Relational Quantum Dynamics (RQD)

• URL: http://arxiv.org/abs/2502.12016v2
• Date: Fri, 30 May 2025 19:54:11 GMT
• Title: Integrated Information in Relational Quantum Dynamics (RQD)
• Authors: Arash Zaghi,
• Abstract summary: We introduce an integrated-information measure $Phi$ for multipartite states within Quantum Dynamics (RQD) framework.<n>$Phi$ is defined as the minimum quantum distance between an n-partite operator $rho and$ any state over a bipartition of its subsystems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a quantum integrated-information measure $\Phi$ for multipartite states within the Relational Quantum Dynamics (RQD) framework. $\Phi(\rho)$ is defined as the minimum quantum Jensen-Shannon distance between an n-partite density operator $\rho$ and any product state over a bipartition of its subsystems. We prove that its square-root induces a genuine metric on state space and that $\Phi$ is monotonic under all completely positive trace-preserving maps. Restricting the search to bipartitions yields a unique optimal split and a unique closest product state. From this geometric picture we derive a canonical entanglement witness directly tied to $\Phi$ and construct an integration dendrogram that reveals the full hierarchical correlation structure of $\rho$. We further show that there always exists an "optimal observer"-a channel or basis-that preserves $\Phi$ better than any alternative. Finally, we propose a quantum Markov blanket theorem: the boundary of the optimal bipartition isolates subsystems most effectively. Our framework unites categorical enrichment, convex-geometric methods, and operational tools, forging a concrete bridge between integrated information theory and quantum information science.

Related papers

• Robustly self-testing all maximally entangled states in every finite dimension [1.2499537119440245]
  We prove a device-independent, noise-tolerant certification of maximally entangled states in every finite dimension $d$.<n>The protocol uses standard Heisenberg-Weyl operations and non-Clifford phase gates that are diagonal in the computational basis.
  arXiv  Detail & Related papers  (2025-08-01T21:02:07Z)
• Near-Optimal Clustering in Mixture of Markov Chains [74.3828414695655]
  We study the problem of clustering $T$ trajectories of length $H$, each generated by one of $K$ unknown ergodic Markov chains over a finite state space of size $S$.<n>We derive an instance-dependent, high-probability lower bound on the clustering error rate, governed by the weighted KL divergence between the transition kernels of the chains.<n>We then present a novel two-stage clustering algorithm.
  arXiv  Detail & Related papers  (2025-06-02T05:10:40Z)
• Towards a Generalized Theory of Observers [41.94295877935867]
  We argue that observers serve as indispensable reference points for measurement, reference frames, and the emergence of meaning. We show how this formalism sheds new light on debates related to consciousness, quantum measurement, and computational boundaries.
  arXiv  Detail & Related papers  (2025-04-22T19:35:55Z)
• Quantum Intuition XR: Tangible Quantum Mechanics using Interactive XR Experience [0.0]
  Quantum Intuition XR is an interactive, extended reality (XR) experience designed to make quantum concepts tangible. Our system visualizes core principles of quantum computing, including qubits, superposition, entanglement, and measurement. Preliminary expert interviews and demonstrations with quantum specialists indicate that the system accurately represents quantum phenomena.
  arXiv  Detail & Related papers  (2025-04-11T21:26:49Z)
• Distributed quantum algorithm for divergence estimation and beyond [16.651306526783564]
  We propose a distributed quantum algorithm framework to compute $rm Tr(f(A)g(B))$ within an additive error $varepsilon$.<n>This framework holds broad applicability across a range of distributed quantum computing tasks.
  arXiv  Detail & Related papers  (2025-03-12T14:28:22Z)
• Enhancing Quantum State Reconstruction with Structured Classical Shadows [22.432806329828782]
  We introduce a projected classical shadow (PCS) method with guaranteed performance for QST based on Haar-random projective measurements.<n>PCS extends the standard CS method by incorporating a projection step onto the target subspace.<n>For matrix product operator states, we demonstrate that the PCS method can recover the ground-truth state with $O(n2)$ total state copies.
  arXiv  Detail & Related papers  (2025-01-06T17:09:38Z)
• Quantum Homogenization as a Quantum Steady State Protocol on NISQ Hardware [42.52549987351643]
  Quantum homogenization is a reservoir-based quantum state approximation protocol.<n>We extend the standard quantum homogenization protocol to the dynamically-equivalent ($mathttSWAP$)$alpha$ formulation.<n>We show that our proposed protocol yields a completely positive, trace preserving (CPTP) map under which the code subspace is correctable.
  arXiv  Detail & Related papers  (2024-12-19T05:50:54Z)
• Consciousness-Centered Ontology of Relational Quantum Dynamics (RQD) [0.0]
  Quantum Dynamics re-envisions quantum theory and its interplay with spacetime, observers, and consciousness.<n>RQD reveals that quantum mechanics, gravity, and consciousness are facets of a single, integrated reality.
  arXiv  Detail & Related papers  (2024-12-08T15:57:31Z)
• Quantum Information Processing, Sensing and Communications: Their Myths, Realities and Futures [61.25494706587422]
  The state-of-the-art, knowledge gaps and future evolution of quantum machine learning are discussed.<n>We conclude with a set of promising future research ideas in the field of ultimately secure quantum communications.
  arXiv  Detail & Related papers  (2024-12-01T22:28:02Z)
• From Quantum Cognition to Conceptuality Interpretation I: Tracing the Brussels Group's Intellectual Journey [0.0]
  The article sketches the essential steps of the intellectual journey going from the first applications of quantum notions and formalisms to human cognition.<n>This was done by drawing numerous parallels with the human conceptual domain and suggesting the existence of a level of cognitive activity that would underlie our physical reality.<n>An increased cross-fertilization between the conceptuality interpretation and quantum cognition is to be expected in the future.
  arXiv  Detail & Related papers  (2024-11-23T00:22:51Z)
• Optimizing random local Hamiltonians by dissipation [44.99833362998488]
  We prove that a simplified quantum Gibbs sampling algorithm achieves a $Omega(frac1k)$-fraction approximation of the optimum. Our results suggest that finding low-energy states for sparsified (quasi)local spin and fermionic models is quantumly easy but classically nontrivial.
  arXiv  Detail & Related papers  (2024-11-04T20:21:16Z)
• An optimal tradeoff between entanglement and copy complexity for state tomography [24.737530909081915]
  We study tomography in the natural setting where one can make measurements of $t$ copies at a time. This is the first smooth entanglement-copy protocol known for any quantum learning task. A key insight is to use SchurilonWeyl sampling not to estimate the spectrum of $rho$, but to estimate the deviation of $rho$ from the maximally mixed state.
  arXiv  Detail & Related papers  (2024-02-26T07:18:57Z)
• Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
  An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
  arXiv  Detail & Related papers  (2024-01-31T15:50:50Z)
• Towards Quantum-Native Communication Systems: State-of-the-Art, Trends, and Challenges [27.282184604334603]
  The survey examines technologies such as quantumdomain (QD) multi-input multi-output, QD non-orthogonal multiple access, quantum secure direct communication, QD resource allocation, QD routing, and QD artificial intelligence.<n>The current status of quantum sensing, quantum radar, and quantum timing is briefly reviewed in support of future applications.
  arXiv  Detail & Related papers  (2023-11-09T09:45:52Z)
• Quantifying High-Order Interdependencies in Entangled Quantum States [43.70611649100949]
  We introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy. We show that quantum systems need at least four variables to exhibit high-order properties. Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution.
  arXiv  Detail & Related papers  (2023-10-05T17:00:13Z)
• One Clean Qubit Suffices for Quantum Communication Advantage [3.729242965449096]
  We study the one-clean-qubit model of quantum communication where one qubit is in a pure state and all other qubits are maximally mixed. Our proof is based on a recent hypercontractivity inequality introduced by Ellis, Kindler, Lifshitz, and Minzer.
  arXiv  Detail & Related papers  (2023-10-03T19:58:08Z)
• Does Quantum Mechanics Breed Larger, More Intricate Quantum Theories? The Case for Experience-Centric Quantum Theory and the Interactome of Quantum Theories [0.0]
  We show that the recently proposed experience-centric quantum theory (ECQT) is a larger and richer theory of quantum behaviors. ECQT allows the quantum information of the closed quantum system's developed state history to continually contribute to defining manybody interactions. The interplay of unitarity and non-Markovianity in ECQT brings about a host of diverse behavioral phases.
  arXiv  Detail & Related papers  (2023-08-04T16:33:24Z)
• High-dimensional monitoring and the emergence of realism via multiple observers [41.94295877935867]
  Correlation is the basic mechanism of every measurement model.<n>We introduce a model that interpolates between weak and strong non-selective measurements for qudits.
  arXiv  Detail & Related papers  (2023-05-13T13:42:19Z)
• Measuring the integrated information of a quantum mechanism [0.0]
  Integrated information theory was originally conceived as a theory of consciousness. It remains to be determined whether IIT as a theory of consciousness is compatible with quantum mechanics as a theory of microphysics.
  arXiv  Detail & Related papers  (2023-01-04T22:27:36Z)
• Acquiring and Modelling Abstract Commonsense Knowledge via Conceptualization [49.00409552570441]
  We study the role of conceptualization in commonsense reasoning, and formulate a framework to replicate human conceptual induction. We apply the framework to ATOMIC, a large-scale human-annotated CKG, aided by the taxonomy Probase.
  arXiv  Detail & Related papers  (2022-06-03T12:24:49Z)
• Quantum Semantic Communications for Resource-Efficient Quantum Networking [52.3355619190963]
  This letter proposes a novel quantum semantic communications (QSC) framework exploiting advancements in quantum machine learning and quantum semantic representations. The proposed framework achieves approximately 50-75% reduction in quantum communication resources needed, while achieving a higher quantum semantic fidelity.
  arXiv  Detail & Related papers  (2022-05-05T03:49:19Z)
• Speeding up Learning Quantum States through Group Equivariant Convolutional Quantum Ans\"atze [13.651587339535961]
  We develop a framework for convolutional quantum circuits with SU$(d)$symmetry. We prove Harrow's statement on equivalence between $nameSU(d)$ and $S_n$ irrep bases.
  arXiv  Detail & Related papers  (2021-12-14T18:03:43Z)
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface [68.8204255655161]
  Advances in isolating, controlling and entangling quantum systems are transforming what was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and technological progress. From the perspective of three domain science theorists, this article compiles thoughts about the interface on entanglement, complexity, and quantum simulation.
  arXiv  Detail & Related papers  (2021-07-10T06:12:06Z)
• Tracing Information Flow from Open Quantum Systems [52.77024349608834]
  We use photons in a waveguide array to implement a quantum simulation of the coupling of a qubit with a low-dimensional discrete environment. Using the trace distance between quantum states as a measure of information, we analyze different types of information transfer.
  arXiv  Detail & Related papers  (2021-03-22T16:38:31Z)
• Bipartite quantum measurements with optimal single-sided distinguishability [0.0]
  We look for a basis with optimal single-sided mutual state distinguishability in $Ntimes N$ Hilbert space. In the case $N=2$ of a two-qubit system our solution coincides with the elegant joint measurement introduced by Gisin. We show that the one-party measurement that distinguishes the states of an optimal basis of the composite system leads to a local quantum state tomography.
  arXiv  Detail & Related papers  (2020-10-28T10:30:35Z)

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.