Version 6.1 presents an expanded research framework for investigating whether quantumcorrelations, specifically quantum discord, can provide useful information for nuclear reactormonitoring based on antineutrino detection.The architecture is reformulated into physically distinct layers:1. reactor antineutrino production;2. antineutrino propagation;3. physical interaction in a target medium;4. event reconstruction;5. event-conditioned quantum interface;6. auxiliary quantum-state tomography;7. estimation of discord and complementary correlation metrics;8. reactor-parameter inference. Unlike previous versions, the present framework does not postulate a direct antineutrino–qubitinteraction as an established physical mechanism.The central experimental hypothesis is instead:P(ρaux | antineutrino-associated event, θdet) ̸= P(ρaux | background event, θdet) (1)where ρaux is the experimentally reconstructed auxiliary quantum state and θdet denotesdetector configuration.If such a relationship exists, the framework tests whether discord contributes informationbeyond conventional event rate, energy, timing, and classical-correlation observables.The primary analysis is therefore comparative rather than assumptive:M0 ⊂ M1 ⊂ M2, (2)where M0 is a conventional detector model, M1 adds quantum-state observables, and M2adds discord-derived observables.Version 6.1 additionally integrates a structural discord-plus-coherence rate estimator, explicitsource and detector rate formulas, and a formal cross-correlation baseline.No experimental result is claimed.
Version 6.1 presents an expanded research framework for investigating whether quantumcorrelations, specifically quantum discord, can provide useful information for nuclear reactormonitoring based on antineutrino detection.The architecture is reformulated into physically distinct layers:1. reactor antineutrino production;2. antineutrino propagation;3. physical interaction in a target medium;4. event reconstruction;5. event-conditioned quantum interface;6. auxiliary quantum-state tomography;7. estimation of discord and complementary correlation metrics;8. reactor-parameter inference. Unlike previous versions, the present framework does not postulate a direct antineutrino–qubitinteraction as an established physical mechanism.The central experimental hypothesis is instead:P(ρaux | antineutrino-associated event, θdet) ̸= P(ρaux | background event, θdet) (1)where ρaux is the experimentally reconstructed auxiliary quantum state and θdet denotesdetector configuration.If such a relationship exists, the framework tests whether discord contributes informationbeyond conventional event rate, energy, timing, and classical-correlation observables.The primary analysis is therefore comparative rather than assumptive:M0 ⊂ M1 ⊂ M2, (2)where M0 is a conventional detector model, M1 adds quantum-state observables, and M2adds discord-derived observables.Version 6.1 additionally integrates a structural discord-plus-coherence rate estimator, explicitsource and detector rate formulas, and a formal cross-correlation baseline.No experimental result is claimed.
Version 6.1 develops an integrated research framework for a modular particle detector usingmultiple quantum correlation resources.The architecture does not posit one universal quantum resource. Instead, it defines a resourcestackH = {C, D, S, V, E}, (1)together with an adaptive controller operating on measured resource estimates, uncertaintyintervals, detector conditions, and environmental covariates.The V6.1 architecture introduces five major extensions: 1. leakage-resistant experimental data partitioning;2. explicit calibration and domain-shift correction;3. uncertainty-aware adaptive resource selection;4. multi-objective classification and energy inference;5. hierarchical reproducibility and falsification criteria.The detector is represented as a conditional measurement system:p(Y | P, Z, Q, Θ), (2)where P denotes particle state, Z environmental conditions, Q the quantum subsystem, andΘ the locked experimental configuration.The adaptive controller selects a resource or resource subset using a preregistered utilityfunction:r⋆ = arg minr∈HLr. (3)Unlike a simple point-estimate controller, V6.1 explicitly propagates uncertainty and allowsan abstention state when the available evidence does not justify a classification.The primary validation framework evaluates classification, energy reconstruction, backgroundrejection, calibration, calibration transfer, robustness, and independent replication.Version 6.1 additionally integrates an explicit sensor platform layer, an event-conditioningchannel, a multi-resource feature vector, and a readout-and-timing block.No experimental result is claimed.
This paper presents a comprehensive investigation of quantum correlations in radiative-capture reactions through a unified lens of quantum information theory and nuclear physics. By combining density matrix formulations with open quantum system dynamics, we can establish universal scaling laws governing the relationship between quantum discord (D), entanglement entropy (S), and fundamental nuclear properties. The analysis reveals the inverse power-law dependencies [Formula: see text] and [Formula: see text] between these quantum metrics and the decay width (Γ), maintained across fourteen nuclear systems spanning six decades in Γ and masses [Formula: see text]. A machine learning architecture that integrates physical constraints with deep residual networks achieves 92% prediction accuracy for coherence lengths [Formula: see text] while identifying shell structure effects that enhance quantum correlations near magic numbers. The persistent quantum discord ([Formula: see text]) observed in systems with sub-attometer coherence lengths suggests nuclear spins maintain non-classical correlations through internal degrees of freedom rather than spatial coherence. The developed phase diagram categorizes nuclear reactions into three quantum technology regimes: memory ([Formula: see text] s[Formula: see text]), sensing ([Formula: see text] s[Formula: see text]), and foundational tests ([Formula: see text] s[Formula: see text]), with [Formula: see text]Fe[Formula: see text] and [Formula: see text]Li[Formula: see text] identified as optimal candidates for applications. These results bridge nuclear physics with quantum information science, providing both theoretical insights into decoherence mechanisms and practical tools for quantum material design. The proposed methodology establishes radiative capture reactions as a novel platform for exploring emergent quantum phenomena in strongly interacting systems.
A bstract There has been an increasing interest in exploring quantities associated with quantum information at colliders. We perform a detailed analysis describing how to measure the quantum discord in the top anti-top quantum state at the Large Hadron Collider (LHC). While for pure states, quantum discord, entanglement, and Bell nonlocality all probe the same correlations, for mixed states they probe different aspects of quantum correlations. The quantum discord, in particular, is interesting because it aims to encapsulate all correlations between systems that cannot have a classical origin. We employ two complementary approaches for the study of the top anti-top system, namely the decay method and the kinematic method. We highlight subtleties associated with measuring discord for reconstructed quantum states at colliders. Usually quantum discord is difficult to compute due to an extremization that must be performed. We show, however, that for the tt t t ¯ system this extremization can be performed analytically and we provide closed-form formulas for the quantum discord. We demonstrate that with current LHC datasets, quantum discord can be observed at 3 . 6 – 5 . 7 σ , depending on the signal region, with the decay method and can be measured at a precision of 0 . 1 – 0 . 2% with the kinematic method. At the high luminosity LHC, the observation of quantum discord is expected to be > 5 σ using both the decay and kinematic methods and can be measured with a precision of 5% with the decay method and 0 . 05% with the kinematic method. Additionally, we identify the kinematic cuts at the LHC to isolate the tt t t ¯ state that is separable but has non-zero discord. By systematically investigating quantum discord for the first time through a detailed collider analysis, this work expands the toolkit for quantum information studies in particle physics and lays the groundwork for deeper insights into the quantum properties in high-energy collisions.
Quantum discord is a measure of nonclassical correlations in quantum systems. While the bipartite version of quantum discord is experimentally well-studied, the multipartite version has never been convincingly measured. In this study, we experimentally investigate tripartite quantum discord using an NMR quantum information processor. Building on a theoretical framework for conditional projective measurements and quantum conditional mutual information, we quantify the tripartite quantum discord and its contributions in different three-qubit states such as the Greenberger-Horne-Zeilinger (GHZ) and Werner (W) states as well as classical mixtures of biseparable Bell states, and classical mixtures of product states. The experiments employed full quantum state tomography and temporal averaging to prepare mixed states, achieving fidelities exceeding 95%. Our results confirm that quantum discord persists even in the absence of entanglement, highlighting its utility as a broader indicator of quantum correlations. Furthermore, we validate the nonconvexity of discord, confirming that classical mixtures of zero-discord states can exhibit nonzero discord. This experimentally confirms that quantum discord does not fit into the framework of resource theory. This work establishes a robust methodology for measuring quantum discord, illuminating the structure and distribution of quantum correlations in multipartite systems.
Conditional relational tomography of a nucleus Coupling geometry, memory and coherence through reconfiguration Robert Kupski BKT–96–INT v2.1 Abstract Conditional relational tomography of a nucleus is formulated within the Law of One Mechanism (LOM) and the GTSFC–USC–GTCW framework.The study examines the connection between coupling organisation, stable spatial response, temporal memory and coherence read out after reconfiguration. A model of two coupled fields specifies a positive energy functional, dynamics, preparation and observation maps. Eliminating the environment determines static softening, the spatial response kernel and memory in the reduced description. With an additional stationary Gaussian preparation of the uniform mode, the same stiffness matrix determines the contrasts of two directional phase probes. The principal result is an exact, conditional space–memory–coherence relation obtained by eliminating the shared coupling from three types of readout. At dimensionless coupling g = 1, length scale L₀ = 1 fm, dimensionless fluctuation scale η = 0.2 and relative environmental mobility μ_env = 1, the common combination equals 1/4. The spatial response kernel has moments m₂ = 1 fm², m₄ = 16/3 fm⁴, m₆ = 72 fm⁶ and m₈ = 1792 fm⁸, while the ratio of logarithmic contrasts for the soft- and hard-direction probes equals 3. These are consequences of a specified realisation, without independent fitting of each characteristic. The amplitude description is supplemented by positive semidefinite Gram matrices and invariant loop phases, which contain information not determined by pairwise compatibility magnitudes alone. Operator bounds on the transfer error of selected observables under a transformation are derived, together with conditions for identifiability and propagation of joint covariance. Inhomogeneity, inertia and finite preparation time delimit the transfer of relations between readouts. ATLAS, STAR and ALICE results provide complementary research anchors with distinct selections, kinematic domains and measurement operators. A limited calibration to reconstructed ATLAS data reproduces the response trend but establishes neither predictive superiority over the nNNPDF reference nor memory and phase-preparation parameters. The contribution is a construction of testable constraints linking different manifestations of one coupling organisation. Model results remain distinct from empirical identification of the metafield and from establishing dynamics irreducible to quantum chromodynamics. Introduction Investigating nuclear structure involves both the spatial distribution of its response and the mechanisms governing the persistence of that response, its dependence on history and the correlations revealed in interaction products. A radius, a cross section, a relaxation time and an angular-distribution harmonic are different projections of the system under study. Their joint description becomes more restrictive than a collection of independent parametrisations when a specified coupling organisation connects their values through definite relations. The central problem of this work is precisely the possibility of connecting spatial response, memory and coherence in this way. Within LOM, the formation, admissibility and stabilisation of physical structures are hypothesised to arise from shared rules of relational–informational organisation. Structural information here denotes constraints, coupling directions, deformation costs and rules of admissible transformations, rather than an additional substance or merely a measure of experimental uncertainty. GTSFC describes shared coupling structures and their sectoral realisations; the Universal Structural Code (USC) organises conditions of compatibility, composition and tolerance. The metafield denotes a postulated layer of this organisation. In this hypothesis, particles and fields are considered its physical realisations, while valid results of quantum mechanics and field theory are retained. The cosmological scope of GTCW remains separate from the nuclear observables analysed here. The conceptual basis is the development of persistent relational-node descriptions in the BKT–37 programme and the distinction between reconfiguration, sector preservation and recovery of the full state in BKT–37–REK. BKT–74–QREC distinguishes retention of organisation from state recurrence and dynamical attraction, whereas BKT–94 connects a shared generator with cross-channel identifiability. BKT–96 applies these distinctions to nuclear response and interferometry, where geometric shape, relaxation history and phase relations have their own explicitly specified readout maps. The observational anchors come from studies of ultraperipheral nuclear interactions. ATLAS measurements constrain partonic-response contrast, geometric selection through neutron topologies and components of jet photoproduction. STAR and ALICE studies provide complementary amplitude, polarisation and diffraction constraints. In two-source interference, distinguishability of products such as positive and negative pions remains distinct from distinguishability of their production alternatives. The common object of description is therefore the complete process leading to a specified measurement outcome. “Conditional tomography” denotes reconstruction dependent on source, reaction, selection and detector models, rather than direct recovery of an arbitrary nuclear profile. The mathematical realisation is based on a positive functional of two coupled fields. Its second variation determines stiffness, while elimination of the environmental sector yields the spatial response operator. Once mobility is specified, the same elimination determines a memory kernel in the reduced dynamics. Positive spatial kernels admit a spectral representation connecting shape to a hierarchy of moments. With a shared Gaussian preparation of the uniform mode, stiffness also determines fluctuations read out by phase probes. Energy, the evolution law, preparation and probe sensitivity remain distinct but consistently specified components of this realisation. For the family with dimensionless local coefficients a = h = 2, coupling 0 ≤ g < 2 and gradient costs c = L₀²/4 and d = L₀²/2, the dimensionless quantity r = m₂/L₀² is defined by the second moment m₂ of the spatial response kernel and the fixed length scale L₀. The quantity ℛ = ln(γ_s)/ln(γ_h) is the ratio of logarithmic contrasts of unit soft- and hard-direction probes. M₀ and M₁ denote the zeroth and first memory-kernel moments in dimensionless time with unit mobility of the visible field; μ_env > 0 is the relative environmental mobility. Under stationary Gaussian preparation with a positive fluctuation scale, the derived relation is: (2r − 1)/[2(r + 1)] = [(ℛ − 1)/(ℛ + 1)]² = M₀/2 = μ_env M₁ = g²/4. This condition restricts the independent freedom of three types of readout. It identifies neither a spatial moment with memory nor phase contrast with an entanglement measure. At g = 1 and μ_env = 1, it gives r = 1, ℛ = 3, M₀ = 1/2 and M₁ = 1/4. Finite preparation time modifies contrasts according to the dynamics approaching the stationary distribution, while extensions with inertia can preserve statics despite a different response history. The three-way relation is therefore a result for a specified model class, not a universal identity for arbitrary nuclear processes. The general description of amplitude organisation uses a complex Gram matrix. Positive semidefiniteness ensures nonnegative probabilities for admissible amplitude combinations, while loop phases specify relations not determined by pairwise overlap magnitudes alone. This construction is broader than the particular Gaussian preparation used in the three-way relation. An operator description of a transformation, in turn, specifies preservation of selected observables and bounds on their transfer error without identifying such preservation with recovery of the entire quantum state. The research value of a shared model lies in predicting readouts not used to determine its parameters. The analysis therefore addresses not only existence of a solution but also parameter indistinguishability, uniqueness of predictions on calibration-equivalent sets and cross-channel covariances. ATLAS, STAR and ALICE results constrain different components of this problem; they do not automatically establish a single joint fit or identical parameters for different nuclei. The achievement is a computable realisation of the organisational hypothesis and a set of conditions for its independent testing. The predicted interdependence of responses has physical content even when its microscopic realisation remains consistent with quantum chromodynamics. Empirical identification of the metafield and conclusions about additional dynamics constitute separate levels of inference.
Quantum correlations between parts of a composite system most clearly reveal themselves through entanglement. Designing, maintaining, and controlling entangled systems is very demanding, which raises the stakes for understanding the efficacy of entanglement-free, yet quantum correlations, exemplified by quantum discord. Discord is defined via conditional mutual entropies of parts of a composite system and its direct measurement is hardly possible even via full tomographic characterization of the system state. Here we design a simple protocol to detect and quantify quantum discord in an unentangled bipartite system. Our protocol relies on a characteristic of discord that can be extracted from repeated direct measurements of certain correlations between subsystems of the bipartite system. The proposed protocol opens a way of extending experimental studies of discord to electronic systems, but can also be implemented in quantum-optical systems.