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Resource-Bound Quantum Dynamics: A Finite-Capacity Framework for Load-Dependent Deviations in Open-System Quantum Evolution

Tyler J. Goodell

Published Nov 13, 2025• 0 citations
Publisher

Abstract

This project develops a testable framework for detecting whether open-system quantum evolution could exhibit small, load-dependent deviations when multiple quantum platforms are simultaneously running high-complexity workloads. The framework is based on a simple question: If global computational capacity is finite, could extreme aggregate experimental load produce measurable, synchronized shifts in decoherence behavior across laboratories? The model introduces a resource-bound extension of standard Lindblad dynamics, defines an operational complexity measure tailored to experimental workloads, and anchors the global resource limit R_{\max} using a holographically-motivated bound. A synchronized, multi-laboratory protocol is proposed to detect potential load-dependent effects. All limitations, assumptions, and scaling considerations are documented transparently in the manuscript. This is an exploratory, falsifiable proposal — not a claimed discovery — and all materials are openly available.

DOI
10.17605/osf.io/hv7d3

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This project develops a testable framework for detecting whether open-system quantum evolution could exhibit small, load-dependent deviations when multiple quantum platforms are simultaneously running high-complexity workloads. The framework is based on a simple question: If global computational capacity is finite, could extreme aggregate experimental load produce measurable, synchronized shifts in decoherence behavior across laboratories? The model introduces a resource-bound extension of standard Lindblad dynamics, defines an operational complexity measure tailored to experimental workloads, and anchors the global resource limit R_{\max} using a holographically-motivated bound. A synchronized, multi-laboratory protocol is proposed to detect potential load-dependent effects. All limitations, assumptions, and scaling considerations are documented transparently in the manuscript. This is an exploratory, falsifiable proposal — not a claimed discovery — and all materials are openly available.
We derive a testable consequence of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation: the weighted sum of individual decoherence rates is bounded by a maximum determined by the system's energy scale and the quantum channel capacity of the system-environment coupling. We derive this bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system-environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.
We derive testable consequences of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation. We formulate this bound in terms of three representation-invariant measures—the purity loss rate, the dissipative entropy production rate, and the Kossakowski eigenvalue sum—ensuring that all predictions are independent of the non-unique Lindblad decomposition. We derive the bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system–environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.
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This research delves into the intersection of quantum information dynamics and complex systems, specifically focusing on the interplay between quantum entanglement and dynamical systems. We propose a novel framework that integrates these concepts to model potential quantum computation behaviors, moving beyond traditional algorithmic approaches. The core of this work centers on the conceptualization of a dynamic system evolution driven by quantum entanglement, providing a mechanism for understanding and potentially predicting the behavior of quantum algorithms. This investigation seeks to establish a robust model for exploring and analyzing the emergent properties of quantum systems through the lens of dynamic dynamics.
Experimental Signatures and Falsifiability of Phase Ontology: How a Phase-Primary Framework Can Be Tested (Phase Ontology — Part VII) completes the Phase Ontology series by translating its core claims into concrete, falsifiable expectations. While Parts I–VI argue that phase coherence is physically real and that spacetime is an emergent projection of stable phase relations, this paper makes the scientific demand explicit: the framework must constrain what should be observed in the laboratory—not merely reinterpret existing results. The paper outlines a set of testable signatures that should appear if measurement is genuinely a phase-locking process, if coherence is a physical resource that can be preserved or dispersed, and if detectors and environments are active material participants rather than generic sources of noise. Key experimental arenas include: (1) detector-dependent phase-locking thresholds (e.g., interferometry where small, controlled detector-material changes produce disproportionate shifts in localization/fringe behavior), (2) coherence capacity and delayed classicality (engineered environments that produce non-linear regime changes rather than only smooth decoherence), (3) entanglement under structured phase environments (sensitivity to structured phase modulation beyond standard loss/noise parameters), (4) precision clocks as phase probes (searching for residual coherence-environment dependencies beyond known systematics), and (5) macroscopic coherence bridge regimes in superconducting and mesoscopic networks where topology and coupling geometry should matter in structured ways. Crucially, the paper states what falsification would look like in practice: if across multiple platforms detector variations yield no structured threshold effects, coherence isolation produces only fully predictable smooth behavior, entanglement responds solely to standard channel parameters, and precision clocks show no reproducible residual coherence-structure dependence, then Phase Ontology remains an interpretation but loses its claim to be an empirically distinct physical framework. A staged experimental program is proposed, moving from tabletop interferometry to progressively more demanding coherence and clock tests.