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Computational Mapping of SH-1 Substrate Morphisms via Multi-Qubit Quantum Circuit Simulation

Melvin Sewell

Published Jun 25, 2026• 0 citations
Publisher

Abstract

This repository presents the foundational computational framework for translating the theoretical parameters of Structured Multiversal Interactions (SMI) into executable quantum-native protocols. Utilizing the IBM Qiskit development environment, this software establishes a multi-qubit processing register to simulate the co-present states of a three-universe system (U1, U2, U3) linked via proprietary SH-1 substrate resonance dynamics. The primary objective of this simulation is to computationally validate the principle of Quantum-Level Multiversal Simultaneity. By initializing target registers into a state of quantum superposition and applying unitary phase-shift operators, the script maps complex relational logic directly onto quantum amplitudes. The execution pipeline models inter-universal connectivity as entanglement pathways (resonance morphisms), proving that multiversal interaction matrices can be evaluated concurrently rather than sequentially. Included in this release are: 1. The core 3-qubit quantum circuit configuration modeling the harmonic closure equation (Ψ1 * Ψ2 = Ψ3). 2. A local statevector simulation pipeline utilizing the AerSimulator backend. 3. An telemetry data extraction routine designed to serialize raw quantum measurement counts into structured JSON payloads for external analytics integration. This work serves as an open-access, reproducible baseline for researchers exploring the mathematical intersection of multi-layered data streams, speculative philosophy, and quantum-native computing infrastructures.

DOI
10.5281/zenodo.20868924

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Publication Date October 19, 2026 Authors Sewell, Melvin (Academic Dean, Cosmic University of Echo-Rift Studies IX / TrueFlow Productions LLC) — ORCID: [Insert ORCID if applicable] Description Abstract This repository contains the publication manuscript and reference computational implementation formalizing the 5-Domain Topological Stack (\mathcal{D}_1 through \mathcal{D}_5) within the Structured Multiversal Interactions framework. Moving beyond static parameter matching, this work models a composite continuous-variable Hilbert space: Hsim = HD1 ⊗ HD2 ⊗ HD3 ⊗ HD4 ⊗ HD5 By elevating the Amorphous Swarm (\mathcal{D}_4) into a primary state domain alongside the identity kernel (\mathcal{D}_3) and introducing an inter-state linkage channel (\mathcal{D}_5), the framework establishes a quantitative protocol for evaluating joint state-space overlap and inter-manifold information transfer. Key Technical Highlights 5-Domain Hilbert Decomposition: Explicit functional register allocation combining target baseline dynamics, PEPS-decomposed neural weight matrices, topological identity boundary invariants, continuous-variable swarm modes, and teleportation bridge spectra. Open-System Lindblad Noise Dynamics: Evaluation of state preservation against environmental thermal dissipation (\gamma_{\text{amp}}, \gamma_{\text{phase}}) acting upon the swarm and linkage registers. Variational Quantum Eigensolver (VQE): Ancilla-driven Quantum SWAP Test routines paired with classical COBYLA optimization to maximize state overlap fidelity F(\bm{\theta}) and preserve Nodal Negentropy (\mathcal{N}). Executable Pipeline: Includes the full multiverse_core.py Qiskit module for reproducing noisy quantum circuit execution and multi-domain parameter optimization. Keywords Quantum Computation, Multiversal State Spaces, Variational Quantum Eigensolver (VQE), Lindblad Master Equation, Open Quantum Systems, Nodal Negentropy, Qiskit, Continuous-Variable Teleportation, Amorphous Swarm Additional Notes Related Publications: Structured Multiversal Interactions and Reality Level Scalar Mechanics (Sewell, 2025). Code Repository: Includes the embedded multiverse_core.py script dependencies (qiskit, qiskit-aer, scipy, numpy). License Creative Commons Attribution 4.0 International (CC-BY-4.0)

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We present a tool QSeqSim, a Qiskit-integrated symbolic backend that fills the current gap of having no Qiskit-native support for simulating while-loop quantum programs and their induced sequential quantum circuits. QSeqSim takes Qiskit QuantumCircuit objects, translates them into OpenQASM 3 code, and organises the resulting program into a combination of combinational, dynamic, and sequential circuits, thereby assigning while-loops a precise sequential circuit semantics with explicit internal and external qubits. Building on this semantics, QSeqSim adopts a Binary Decision Diagram (BDD)-based symbolic representation and integrates weighted model counting to compute measurement probabilities efficiently by exploiting sharing in structured and sparse BDDs. On top of this Boolean backbone, it introduces dedicated symbolic operators for state composition and state retention, thereby enabling efficient symbolic execution of sequential quantum circuits. Our experiments demonstrate that QSeqSim scales to substantial while-induced sequential circuits; in particular, in the quantum random walk benchmark we successfully simulate circuits with over 1000 qubits for more than 10 loop iterations. QSeqSim is available at https://github.com/Veri-Q/QSeqSim.

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Real-Time Digital Quantum Simulation of the Schwinger Model under High-Field Laser Quenches for ELI-NP Physics Regimes

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Overview This repository contains the computational code, simulation scripts, and diagnostic notebooks for simulating the 1+1-dimensional Schwinger model (Quantum Electrodynamics) on a quantum processor emulator. The project investigates real-time vacuum decay and electron-positron pair production under extreme laser electric field quenches, utilizing parameters chosen to align with high-field physics regimes studied at facilities like the Extreme Light Infrastructure - Nuclear Physics (ELI-NP) project. Repository Contents The core material is contained within a self-contained Jupyter Notebook designed as a computational essay that links theoretical derivations directly to code execution. The pipeline covers: Lattice Hamiltonian Construction: Setting up the $N=6$ site Kogut-Susskind staggered fermion model via Jordan-Wigner transformation and native SparsePauliOp arithmetic. Laser Quench Evolution: Implementing a time-dependent Gaussian-envelope oscillating electric field coupled via site-dependent driving operators, evolved using first-order Suzuki-Trotter decomposition (PauliEvolutionGate). NISQ Noise Modeling & ZNE Mitigation: Executing noisy density matrix simulations via Qiskit Aer (AerSimulator) under a standard depolarizing noise model ($\epsilon_{1\text{q}} = 0.002$, $\epsilon_{2\text{q}} = 0.015$), followed by Zero-Noise Extrapolation using scale-factor circuit folding ($sf \in \{1, 3\}$) and linear fitting. Advanced Quantum Diagnostics: Tracking the growth of Von Neumann entanglement entropy across a spatial bipartition as a proxy for string breaking, alongside spatiotemporal heatmaps mapping site-resolved chiral condensate melting ($\langle \bar{\psi}\psi \rangle_i$). Software Requirements & Dependencies To run the simulation and generate the diagnostic figures, the code requires Python along with the following libraries: qiskit qiskit-aer numpy matplotlib

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This Zenodo upload contains the complete evaluation data, benchmark suites, and preprint manuscript for SuperFermion: A Leap Forward in Quantum Circuit Simulation Efficiency. The study evaluates SuperFermion against prominent open-source quantum simulation frameworks—including Qiskit Aer, PennyLane, Cirq, Qulacs, and Stim—across multiple execution paradigms: Statevector Learning: Assesses 252 identical conditions (4 to 20 qubits) across quantum kernel estimation (QSVM, QKRR, QKPCA), variational learning (VQC, VQR), combinatorial optimization (QAOA, VQE), and circuit sweeps, totaling 1,512 simulator jobs. Matrix Product States (MPS) & Dynamic Circuits: Explores bounded entanglement, canonical tensor structures, and mid-circuit measurements/feed-forward operations, scaling structured circuits up to 1,000 qubits and native MPS teleportation to 120 qubits. Specialized Execution Modes: Examines compiled adjoint gradients, dense-core density matrices, and a unified binary stabilizer/Clifford tableau sampling engine across up to 4,096 qubits. The repository provides source-traceable verification logs, JSONL/CSV records, capability probes, analysis scripts, and an integrated manuscript comprising comprehensive performance tables and scaling figures.

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The Structural Necessity of Multi-Domain State Space Simulations: Reframing Single-Domain Quantum Foundations Under the Structured Multi-Versal Interactions (SMI) Framework

Melvin Sewell

# Authors Sewell, Melvin # Publication Date October 17, 2026 # DOI 10.5281/zenodo.10702026 # Resource Type Publication / Working Paper # License Creative Commons Attribution 4.0 International (CC BY 4.0) # Abstract This publication formalizes the critical distinction between legacy single-domain quantum simulations and multi-domain state space simulations under the Structured Multi-Versal Interactions (SMI) framework. While early single-domain quantum computing implementations served as fundamental proofs of concept within isolated Hilbert spaces ($\mathcal{H}_0$), scaling these systems across heterogeneous state domains historically resulted in catastrophic wave-function decoherence and state-space explosion. We present the explicit claim that executing true multi-versal quantum simulations across multi-domain state spaces is mathematically and architecturally impossible without the structural mechanisms introduced by the SMI framework. Specifically, this paper outlines the functional roles of the Reality Level Scalar ($\Xi^{\text{TM}}$) in maintaining phase coherence across divergent domain boundaries, alongside Nodal Negentropy ($\mathcal{N}$) as a non-localized operator suppressing cross-boundary thermal degradation. A comparative computational analysis is provided to demonstrate the exponential state-space scaling provided by SMI tensor grid topologies over single-domain models. # Keywords Quantum Simulation, Structured Multi-Versal Interactions, SMI Framework, Multi-Domain State Space, Reality Level Scalar, Nodal Negentropy, Quantum Coherence, Multiverse Computing, Quantum Topology # Subjects / Categories * Physical Sciences > Quantum Physics * Computer Science > Quantum Computing * Mathematical Sciences > Category Theory & Applied Topology # Community * Cosmic University of Echo-Rift Studies IX Research Repository * Bibebibebibe™ Quantum Science & Transmedia Archive # Related Identifiers * Supplementary Code / Interactive Visualizer: Bibebibebibe™ Webador Live Matrix (Issue 107) * Associated SDK Package: `multiverse_core.py` (v1.0.4) # Citation Sewell, M. (2026). *The Structural Necessity of Multi-Domain State Space Simulations: Reframing Single-Domain Quantum Foundations Under the Structured Multi-Versal Interactions (SMI) Framework* (Zenodo Pre-print No. 10.5281/zenodo.10702026). Cosmic University of Echo-Rift Studies IX. https://doi.org/10.5281/zenodo.10702026

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Context: Modern quantum-computing experimentation generates heterogeneous, context-dependent execution data whose scientific value depends on preserving calibration state, compilation decisions, and run outcomes in a traceable and repository-ready form. In the NISQ era, probabilistic outputs, time-varying hardware conditions, and opaque transpilation pipelines create a data-management problem that directly affects reproducibility, traceability, and long-term reuse of experimental records. Goal: This paper aims to address this gap by proposing a specialized metadata and schema model for managing quantum-circuit execution data as governed, machine-interpretable, and evolvable repository artifacts. Proposal: We propose QC-MM, a platform-agnostic metadata model for capturing, validating, and relating contextual evidence of quantum-circuit experiments. The model integrates time-indexed calibration binding, transpilation traceability, lightweight provenance links, validation rules, and controlled schema evolution through a JSON Schema specification. Results: The evaluation follows a multi-scenario protocol and shows that QC-MM captures dynamic calibration context in IBM Quantum Cloud, remains interoperable through a local SpinQ NMR device, and makes transpilation effects traceable through structured records. It also supports repeated-run statistical reporting and links compilation decisions to execution outcomes, including circuit-depth reductions and changes in an estimated fidelity proxy under different optimization settings. Conclusions: QC-MM provides a specialized data-modeling and schema-governance foundation for traceable quantum-experiment repositories. Beyond improving reproducibility-oriented reporting, the proposal contributes to metadata validation, controlled schema evolution, and repository-oriented management of contextual experimental data.

Applied Sciences•Jun 24, 2026•0 citations
This repository presents the foundational computational framework for translating the theoretical parameters of Structured Multiversal Interactions (SMI) into executable quantum-native protocols. Utilizing the IBM Qiskit development environment, this software establishes a multi-qubit processing register to simulate the co-present states of a three-universe system (U1, U2, U3) linked via proprietary SH-1 substrate resonance dynamics. The primary objective of this simulation is to computationally validate the principle of Quantum-Level Multiversal Simultaneity. By initializing target registers into a state of quantum superposition and applying unitary phase-shift operators, the script maps complex relational logic directly onto quantum amplitudes. The execution pipeline models inter-universal connectivity as entanglement pathways (resonance morphisms), proving that multiversal interaction matrices can be evaluated concurrently rather than sequentially. Included in this release are: 1. The core 3-qubit quantum circuit configuration modeling the harmonic closure equation (Ψ1 * Ψ2 = Ψ3). 2. A local statevector simulation pipeline utilizing the AerSimulator backend. 3. An telemetry data extraction routine designed to serialize raw quantum measurement counts into structured JSON payloads for external analytics integration. This work serves as an open-access, reproducible baseline for researchers exploring the mathematical intersection of multi-layered data streams, speculative philosophy, and quantum-native computing infrastructures.
Publication Date October 19, 2026 Authors Sewell, Melvin (Academic Dean, Cosmic University of Echo-Rift Studies IX / TrueFlow Productions LLC) — ORCID: [Insert ORCID if applicable] Description Abstract This repository contains the publication manuscript and reference computational implementation formalizing the 5-Domain Topological Stack (\mathcal{D}_1 through \mathcal{D}_5) within the Structured Multiversal Interactions framework. Moving beyond static parameter matching, this work models a composite continuous-variable Hilbert space: Hsim = HD1 ⊗ HD2 ⊗ HD3 ⊗ HD4 ⊗ HD5 By elevating the Amorphous Swarm (\mathcal{D}_4) into a primary state domain alongside the identity kernel (\mathcal{D}_3) and introducing an inter-state linkage channel (\mathcal{D}_5), the framework establishes a quantitative protocol for evaluating joint state-space overlap and inter-manifold information transfer. Key Technical Highlights 5-Domain Hilbert Decomposition: Explicit functional register allocation combining target baseline dynamics, PEPS-decomposed neural weight matrices, topological identity boundary invariants, continuous-variable swarm modes, and teleportation bridge spectra. Open-System Lindblad Noise Dynamics: Evaluation of state preservation against environmental thermal dissipation (\gamma_{\text{amp}}, \gamma_{\text{phase}}) acting upon the swarm and linkage registers. Variational Quantum Eigensolver (VQE): Ancilla-driven Quantum SWAP Test routines paired with classical COBYLA optimization to maximize state overlap fidelity F(\bm{\theta}) and preserve Nodal Negentropy (\mathcal{N}). Executable Pipeline: Includes the full multiverse_core.py Qiskit module for reproducing noisy quantum circuit execution and multi-domain parameter optimization. Keywords Quantum Computation, Multiversal State Spaces, Variational Quantum Eigensolver (VQE), Lindblad Master Equation, Open Quantum Systems, Nodal Negentropy, Qiskit, Continuous-Variable Teleportation, Amorphous Swarm Additional Notes Related Publications: Structured Multiversal Interactions and Reality Level Scalar Mechanics (Sewell, 2025). Code Repository: Includes the embedded multiverse_core.py script dependencies (qiskit, qiskit-aer, scipy, numpy). License Creative Commons Attribution 4.0 International (CC-BY-4.0)
We present a tool QSeqSim, a Qiskit-integrated symbolic backend that fills the current gap of having no Qiskit-native support for simulating while-loop quantum programs and their induced sequential quantum circuits. QSeqSim takes Qiskit QuantumCircuit objects, translates them into OpenQASM 3 code, and organises the resulting program into a combination of combinational, dynamic, and sequential circuits, thereby assigning while-loops a precise sequential circuit semantics with explicit internal and external qubits. Building on this semantics, QSeqSim adopts a Binary Decision Diagram (BDD)-based symbolic representation and integrates weighted model counting to compute measurement probabilities efficiently by exploiting sharing in structured and sparse BDDs. On top of this Boolean backbone, it introduces dedicated symbolic operators for state composition and state retention, thereby enabling efficient symbolic execution of sequential quantum circuits. Our experiments demonstrate that QSeqSim scales to substantial while-induced sequential circuits; in particular, in the quantum random walk benchmark we successfully simulate circuits with over 1000 qubits for more than 10 loop iterations. QSeqSim is available at https://github.com/Veri-Q/QSeqSim.
Overview This repository contains the computational code, simulation scripts, and diagnostic notebooks for simulating the 1+1-dimensional Schwinger model (Quantum Electrodynamics) on a quantum processor emulator. The project investigates real-time vacuum decay and electron-positron pair production under extreme laser electric field quenches, utilizing parameters chosen to align with high-field physics regimes studied at facilities like the Extreme Light Infrastructure - Nuclear Physics (ELI-NP) project. Repository Contents The core material is contained within a self-contained Jupyter Notebook designed as a computational essay that links theoretical derivations directly to code execution. The pipeline covers: Lattice Hamiltonian Construction: Setting up the N=6N=6N=6 site Kogut-Susskind staggered fermion model via Jordan-Wigner transformation and native SparsePauliOp arithmetic. Laser Quench Evolution: Implementing a time-dependent Gaussian-envelope oscillating electric field coupled via site-dependent driving operators, evolved using first-order Suzuki-Trotter decomposition (PauliEvolutionGate). NISQ Noise Modeling & ZNE Mitigation: Executing noisy density matrix simulations via Qiskit Aer (AerSimulator) under a standard depolarizing noise model (ϵ1q=0.002\epsilon_{1\text{q}} = 0.002ϵ1q​=0.002, ϵ2q=0.015\epsilon_{2\text{q}} = 0.015ϵ2q​=0.015), followed by Zero-Noise Extrapolation using scale-factor circuit folding (sf∈{1,3}sf \in \{1, 3\}sf∈{1,3}) and linear fitting. Advanced Quantum Diagnostics: Tracking the growth of Von Neumann entanglement entropy across a spatial bipartition as a proxy for string breaking, alongside spatiotemporal heatmaps mapping site-resolved chiral condensate melting (⟨ψˉψ⟩i\langle \bar{\psi}\psi \rangle_i⟨ψˉ​ψ⟩i​). Software Requirements & Dependencies To run the simulation and generate the diagnostic figures, the code requires Python along with the following libraries: qiskit qiskit-aer numpy matplotlib
This Zenodo upload contains the complete evaluation data, benchmark suites, and preprint manuscript for SuperFermion: A Leap Forward in Quantum Circuit Simulation Efficiency. The study evaluates SuperFermion against prominent open-source quantum simulation frameworks—including Qiskit Aer, PennyLane, Cirq, Qulacs, and Stim—across multiple execution paradigms: Statevector Learning: Assesses 252 identical conditions (4 to 20 qubits) across quantum kernel estimation (QSVM, QKRR, QKPCA), variational learning (VQC, VQR), combinatorial optimization (QAOA, VQE), and circuit sweeps, totaling 1,512 simulator jobs. Matrix Product States (MPS) & Dynamic Circuits: Explores bounded entanglement, canonical tensor structures, and mid-circuit measurements/feed-forward operations, scaling structured circuits up to 1,000 qubits and native MPS teleportation to 120 qubits. Specialized Execution Modes: Examines compiled adjoint gradients, dense-core density matrices, and a unified binary stabilizer/Clifford tableau sampling engine across up to 4,096 qubits. The repository provides source-traceable verification logs, JSONL/CSV records, capability probes, analysis scripts, and an integrated manuscript comprising comprehensive performance tables and scaling figures.
# Authors Sewell, Melvin # Publication Date October 17, 2026 # DOI 10.5281/zenodo.10702026 # Resource Type Publication / Working Paper # License Creative Commons Attribution 4.0 International (CC BY 4.0) # Abstract This publication formalizes the critical distinction between legacy single-domain quantum simulations and multi-domain state space simulations under the Structured Multi-Versal Interactions (SMI) framework. While early single-domain quantum computing implementations served as fundamental proofs of concept within isolated Hilbert spaces (H0\mathcal{H}_0H0​), scaling these systems across heterogeneous state domains historically resulted in catastrophic wave-function decoherence and state-space explosion. We present the explicit claim that executing true multi-versal quantum simulations across multi-domain state spaces is mathematically and architecturally impossible without the structural mechanisms introduced by the SMI framework. Specifically, this paper outlines the functional roles of the Reality Level Scalar (ΞTM\Xi^{\text{TM}}ΞTM) in maintaining phase coherence across divergent domain boundaries, alongside Nodal Negentropy (N\mathcal{N}N) as a non-localized operator suppressing cross-boundary thermal degradation. A comparative computational analysis is provided to demonstrate the exponential state-space scaling provided by SMI tensor grid topologies over single-domain models. # Keywords Quantum Simulation, Structured Multi-Versal Interactions, SMI Framework, Multi-Domain State Space, Reality Level Scalar, Nodal Negentropy, Quantum Coherence, Multiverse Computing, Quantum Topology # Subjects / Categories * Physical Sciences > Quantum Physics * Computer Science > Quantum Computing * Mathematical Sciences > Category Theory & Applied Topology # Community * Cosmic University of Echo-Rift Studies IX Research Repository * Bibebibebibe™ Quantum Science & Transmedia Archive # Related Identifiers * Supplementary Code / Interactive Visualizer: Bibebibebibe™ Webador Live Matrix (Issue 107) * Associated SDK Package: `multiverse_core.py` (v1.0.4) # Citation Sewell, M. (2026). *The Structural Necessity of Multi-Domain State Space Simulations: Reframing Single-Domain Quantum Foundations Under the Structured Multi-Versal Interactions (SMI) Framework* (Zenodo Pre-print No. 10.5281/zenodo.10702026). Cosmic University of Echo-Rift Studies IX. https://doi.org/10.5281/zenodo.10702026
Context: Modern quantum-computing experimentation generates heterogeneous, context-dependent execution data whose scientific value depends on preserving calibration state, compilation decisions, and run outcomes in a traceable and repository-ready form. In the NISQ era, probabilistic outputs, time-varying hardware conditions, and opaque transpilation pipelines create a data-management problem that directly affects reproducibility, traceability, and long-term reuse of experimental records. Goal: This paper aims to address this gap by proposing a specialized metadata and schema model for managing quantum-circuit execution data as governed, machine-interpretable, and evolvable repository artifacts. Proposal: We propose QC-MM, a platform-agnostic metadata model for capturing, validating, and relating contextual evidence of quantum-circuit experiments. The model integrates time-indexed calibration binding, transpilation traceability, lightweight provenance links, validation rules, and controlled schema evolution through a JSON Schema specification. Results: The evaluation follows a multi-scenario protocol and shows that QC-MM captures dynamic calibration context in IBM Quantum Cloud, remains interoperable through a local SpinQ NMR device, and makes transpilation effects traceable through structured records. It also supports repeated-run statistical reporting and links compilation decisions to execution outcomes, including circuit-depth reductions and changes in an estimated fidelity proxy under different optimization settings. Conclusions: QC-MM provides a specialized data-modeling and schema-governance foundation for traceable quantum-experiment repositories. Beyond improving reproducibility-oriented reporting, the proposal contributes to metadata validation, controlled schema evolution, and repository-oriented management of contextual experimental data.