We present a thermodynamic and causal foundation for quantum information and quantum computing based on the framework of Quantum Causal Entropy (QCE). In QCE, quantum evolution is governed by entropy-weighted causal links rather than purely unitary Hilbert-spaceoperators. This modification provides a microscopic physical origin for decoherence, measurement collapse, entanglement fragility, and quantum gate errors.We reinterpret qubits as bundles of entropy-degenerate causal paths, quantum gates as phasecontrol devices under entropy constraints, entanglement as shared causal–entropy structure, and quantum errors as localized entropy spikes. This perspective leads to new principles for quantum error correction, quantum circuit design, and hardware architecture based on entropymanagement.The framework yields experimentally testable predictions linking coherence time, gate fidelity, and entanglement stability to entropy production, geometry, and material properties of quantum devices. QCE thus bridges quantum information theory with physical thermodynamicsand offers a new pathway toward noise-resilient quantum computation.
We present a thermodynamic and causal foundation for quantum information and quantum computing based on the framework of Quantum Causal Entropy (QCE). In QCE, quantum evolution is governed by entropy-weighted causal links rather than purely unitary Hilbert-spaceoperators. This modification provides a microscopic physical origin for decoherence, measurement collapse, entanglement fragility, and quantum gate errors.We reinterpret qubits as bundles of entropy-degenerate causal paths, quantum gates as phasecontrol devices under entropy constraints, entanglement as shared causal–entropy structure, and quantum errors as localized entropy spikes. This perspective leads to new principles for quantum error correction, quantum circuit design, and hardware architecture based on entropymanagement.The framework yields experimentally testable predictions linking coherence time, gate fidelity, and entanglement stability to entropy production, geometry, and material properties of quantum devices. QCE thus bridges quantum information theory with physical thermodynamicsand offers a new pathway toward noise-resilient quantum computation.
Standard quantum mechanics describes the evolution of physical systems through unitary Schr¨odinger dynamics, while decoherence and wavefunction collapse are introduced through additional postulates or environmental interactions. Although highly successful operationally, the theory does not provide a fundamental dynamical mechanism explaining the emergence of classical localization from microscopic evolution. n this work we propose an entropy-weighted causal dynamics framework, referred to as Quantum Causal Entropy (QCE), in which each microscopic causal transition contributes both a phase increment and an entropy cost. Starting from a local causal update rule, Ψ → eiθℓ−∆SℓΨ, we derive a modified evolution equation in which the standard Hamiltonian generator is supplemented by an entropy-production operator. The resulting entropy-corrected Schr¨odinger equation takes the form iℏ dΨ dt =H − iℏλSˆΨ, where Sˆ represents the entropy rate associated with microscopic causal processes and λ is an entropy coupling constant. We show that the standard unitary Schr¨odinger evolution is recovered in the limit of vanishing entropy coupling, while finite entropy production leads naturally to decoherence, interference suppression, and effective measurement localization without invoking an explicit collapse postulate. A corresponding density-matrix evolution equation is derived, providing a thermodynamic description of coherence decay. The framework therefore provides a dynamical link between quantum evolution, information entropy, and emergent classicality, and suggests experimentally testable corrections to coherence behavior in controlled quantum systems
The dynamical structure of quantum mechanics is conventionally formulated through Hamiltoniandriven unitary evolution, while entropy is typically treated as a statistical descriptor associatedwith measurement outcomes or environmental interactions. In this work, we propose the QuantumCausal Entropy (QCE) framework, an entropy-driven extension of quantum dynamics in whichentropy-weighted causal operators contribute directly to the evolution of quantum states. The proposed formulation introduces an entropy-dependent correction to the dynamical generator whilepreserving Hermiticity, probability conservation, and the Hilbert-space structure of conventionalquantum theory. Within this approach, standard Schr¨odinger dynamics emerge as a limiting casecorresponding to vanishing entropy-coupling strength, ensuring consistency with established experimental results. The framework predicts entropy-dependent modifications to transition amplitudes, decoherence rates, and state-selection probabilities in systems exhibiting significant entropygradients in state space. Possible experimental signatures may arise in high-coherence quantumplatforms, including superconducting qubits, atomic interferometers, and quantum optical systems.By incorporating entropy as an explicit causal element of quantum evolution, the QCE formulation provides a unified information-theoretic perspective linking quantum dynamics, decoherenceprocesses, and entropy-driven information flow, offering a foundation for future theoretical andexperimental investigations of entropy-mediated quantum phenomena.
The quantum measurement problem arises from the coexistence of continuousunitary evolution governed by the Schrödinger equation and the apparentnon-unitary collapse of the wavefunction during measurement. Althoughdecoherence theory explains the suppression of interference throughenvironmental interactions, it does not by itself provide a physicalselection mechanism determining the realized outcome. In this work wepresent a dynamical resolution of the measurement problem within theQuantum Causal Entropy (QCE) framework, in which quantum evolution isgoverned by entropy-weighted causal transitions. Measurement interactionsintroduce path-dependent entropy injection that exponentially suppresseshigher-entropy causal branches, producing a continuous entropy-drivenselection of a dominant outcome without invoking an external projectionpostulate. The framework reproduces the Born-rule probabilities in thelow-entropy limit and predicts experimentally testable deviations inregimes involving large-scale entangled states and entropy-controlledmeasurement environments. These results provide a causal-thermodynamicfoundation for quantum measurement dynamics and suggest new experimentalprobes of entropy-driven quantum state selection.
We propose a Quantum Causal Entropy (QCE) framework in which microscopic entropy increments associated with individual causal links modify the Feynman path amplitude through an exponential weighting factor exp(−SΓ). This entropy-weighted path integral provides a dynamical mechanism for wave–particle duality and interference suppression. The entropy contrast parameter is generalized to multi-path systems, and the Born-rule structure emerges in the regime of distinguishable outcomes. We show that environmental decoherence appears as the macroscopic limit of cumulative causal entropy growth. Aquantitative prediction for thermally asymmetric interference experiments is derived.
The measurement problem remains one of the central unresolved issues in quantum mechanics,raising the question of how definite outcomes emerge from superposed states. Traditionalinterpretations, including Copenhagen, Many-Worlds, QBism, and Quantum Darwinism, offerdiffering perspectives but lack a unifying physical principle. This article develops an InformationalEntropy Reduction (IER) framework that reconceptualizes measurement as a dual entropic processin which informational entropy decreases while thermodynamic entropy increases. Within this view,collapse is not a discontinuous anomaly but the result of entropy trade-offs that stabilize classicaloutcomes.The framework introduces operational metrics, Entropy Reduction Rate (ERR), CompressionEfficiency (CE), and information-to-order efficiency (ΦI), to quantify informational andthermodynamic contributions during measurement. A phenomenological extension of the Lindblad–Gorini–Kossakowski–Sudarshan (GKSL) master equation incorporates IER dynamics through anentropy-reduction operator that biases evolution toward pointer states with maximal redundancy andentropy-reduction efficiency. This approach links outcome selection to measurable quantities,providing a pathway from interpretational philosophy to testable physics.Supporting evidence is drawn from indirect demonstrations, including verification of Landauer’sprinciple, experimental studies of decoherence in cavity and ion-trap systems, and redundancyanalyses in quantum optics. Beyond these foundations, the IER framework establishes an empiricalagenda: ERR can be measured through von Neumann entropy changes in qubit experiments, CEthrough redundancy quantification, and ΦI through simultaneous monitoring of informational entropyreduction and thermodynamic entropy production.By unifying collapse, decoherence, and redundancy under entropy dynamics, the IER frameworkprovides both conceptual clarity and operational testability. It positions informational entropyreduction as a candidate universal principle governing the transition from quantum indeterminacy toclassical objectivity.
Modern quantum theory offers powerful insights into superposition, entanglement, and decoherence, yet lacks a unifying treatment of information flow, observer participation, and entropy stability within dynamical systems. In this work, we introduce a novel framework based on \textit{probabilistic tensor fields}-a formulation in which quantum evolution, informational geometry, and observer-phase interaction co-emerge from a unified structure. The system is described by a dynamic field Ψμν, composed of a coherent geometric background ⟨Gμν⟩ and a fluctuating informational term σμν. The observer is embedded as a phase function ϕobserver, dynamically interacting with the field to generate localized coherence.This coupling induces entropy suppression, spontaneous convergence (measurement), and classical pattern emergence-without invoking wavefunction collapse. Simulations reveal field-phase locking, entropy decay, vacuum energy damping, and the formation of stable memory attractors through standing-wave coherence. These results provide a new perspective on the quantum-to-classical transition, suggest a field-based alternative to gate-based computation, and offer a mathematically consistent path toward entropy-regulated dynamics. Recent experimental platforms support programmable phase dynamics and coherence engineering \cite{Bloch2008, Indiveri2015}, enabling physical analogs to IOQD simulations. Thereby, we position IOQD as a coherence-driven, phase-adaptive field computation model extending quantum machine learning beyond variational circuits and gate-based logic into non-symbolic, dynamic attractor learning systems.