This preprint presents a quantum artificial life model built upon the BT‑PEC topological ternary coupling theory. The model adopts a two-qubit open quantum system, and introduces quantum topological residual Ω_Q as the core order parameter to judge the survival, critical and extinction states of quantum living units. Parameter scanning simulations are carried out to locate the decoherence phase transition point γ_c=0.42. Three testable theoretical predictions are put forward. The source simulation code and raw numerical results are attached in the appendix. This research establishes a new topological framework for quantum artificial life and quantum biology.
This preprint presents a quantum artificial life model built upon the BT‑PEC topological ternary coupling theory. The model adopts a two-qubit open quantum system, and introduces quantum topological residual Ω_Q as the core order parameter to judge the survival, critical and extinction states of quantum living units. Parameter scanning simulations are carried out to locate the decoherence phase transition point γ_c=0.42. Three testable theoretical predictions are put forward. The source simulation code and raw numerical results are attached in the appendix. This research establishes a new topological framework for quantum artificial life and quantum biology.
This paper proposes the first quantum computer architecture and operating system designed under the BT-PEC (Primitive Topological Energy-Causality) theoretical framework. Traditional quantum computing systems treat qubits as passive computing resources, while the BT-PEC architecture regards the whole quantum computer as an open quantum living system governed by topological deviation dynamics. The four BT-PEC axioms — B (Basis), T (Flux), P (Coupling), EC (Energy-Causality Closed Loop) — are mapped to hardware modules and operating system subsystems respectively. The quantum processing unit adopts a topological-logical double-layer structure, using Majorana zero modes as the physical basis and surface code for logical encoding. A coherent flux injection bus transports negative-entropy energy from the environment to quantum states. The entanglement routing network implements P coupling gate scheduling. Decoherence sensor arrays and real-time quantum error correction decoders form the EC closed loop. At the operating system level, BT-PEC/OS introduces an Ω-aware scheduler, which takes the quantum topological residual order parameter Ω_Q = T − ΔPEC as the system health indicator to drive process scheduling, resource allocation and exception handling. When Ω_Q > 0.05, tasks are executed with the highest priority; when |Ω_Q| ≤ 0.05, the system triggers automatic protection including enhanced error correction, state migration and load reduction; when Ω_Q < −0.05, the system terminates low-priority tasks and recycles quantum states. This paper presents the complete hardware architecture, kernel structure, system call interface, memory management scheme, exception handling mechanism, boot sequence and dedicated quantum programming language BPL. Comparative analysis shows that the BT-PEC architecture outperforms traditional quantum computers in self-sustainability, fault tolerance and resource efficiency. This research lays the foundation for life-state quantum computing and opens a new paradigm integrating computation and life evolution.
Within a trace-class operator framework on a separable Hilbert space and based on three fundamental axioms, this paper derives the Ω = 0 steady-state condition for stable observable systems under the BT-PEC tri-coupling fundamental theory. Five classes of unstable configurations are constructed to cover known physical breakdown modes. Knot topology is adopted for dimensional selection analysis to discuss how 3D spacetime supports irreversible evolution and the emergence of time. A prediction system with strict falsification criteria is established, and inherent limitations of the framework are explicitly stated, yielding a self-consistent, quantitatively verifiable physical framework for cosmic steady-state and dimensional origin.
This paper proposes the BT-PEC full-stack computing framework to address the challenge that traditional static resource scheduling and fixed error correction strategies fail to adapt to time-varying noise and dynamic decoherence of coherent resources in the NISQ era for open quantum systems. The framework includes a quantum living-state architecture, a quantum operating system, and a unified programming language system, with falsifiable engineering predictions and simulation verification schemes. Four core operators are defined: the B basis operator representing underlying hardware quantum resources; the T transition operator describing coherent energy input and quantum state evolution; the P power consumption operator for resource and energy costs from gate operations and entanglement generation; and the EC entropy-causal closure operator implementing error correction, feedback compensation and causal recording constraints. A global steady-state order parameter Ω=tr(BT)−tr(PEC) is introduced. Three system phases are classified by threshold ϵ=0.05: survival state (Ω_Q>0.05), critical state (|Ω_Q|≤0.05), and extinction state (Ω_Q<−0.05). The Lindblad master equation is adopted to model open quantum system dynamics, combined with an exponential fidelity decay model and binary information entropy proxy function. The phase transition critical decoherence parameter γ_c≈0.42 is obtained from simulation, which is only valid within this model and not a universal physical constant. The full-stack hardware-software co-design consists of a topology-logic two-layer quantum hardware architecture, the BT-PEC/OS quantum operating system kernel with Ω_Q-aware task scheduling, and Omega-IR intermediate representation together with a multi-paradigm unified programming language. The FEA cross-language adaptation layer enables compatibility with Python, C++ and other programming environments. Numerical simulations are implemented on QuTiP with five controlled repeatable experiments. Eight quantifiable, falsifiable engineering predictions are presented with explicit falsification criteria. Limitations of the model are clarified: γ_c is simulation-specific; BT and PEC operator matrices need instantiation for individual hardware; Omega-IR currently only has semantic specifications without a production-grade compiler and virtual machine; performance advantages are validated only by numerical simulation pending physical quantum hardware tests; causal chain integrity under high concurrency remains an engineering challenge. The BT-PEC framework unifies quantum hardware, operating system and compilation system under one steady-state evaluation system, offering a verifiable engineering theoretical model for hardware-software co-design of quantum computers under dynamic NISQ noise environments. Future work includes completing the Omega-IR compiler, scaling up simulations, and preparing validation experiments on small-scale physical quantum processors.
Quantum-enhanced topological phase transition modeling presents a novel approach to understanding and predicting these complex phenomena. This research focuses on developing a computational framework leveraging quantum algorithms to simulate the evolution of topological order and identify critical points, ultimately providing insights into transition mechanisms and stability. The core mechanism involves applying quantum simulations to explore the interplay between quantum entanglement, topological order, and phase transition dynamics, offering a fundamentally different perspective compared to classical methods. This work seeks to expand the current understanding of topological phase transitions by offering a powerful tool for analysis and prediction. The proposed framework integrates quantum computing with established topological phase transition theory, aiming for improved accuracy and efficiency in modeling these phenomena.
We present a mathematically rigorous framework for non-Hermitian topological phases in open quantum-biological systems, enabling room-temperature, topologically protected information transfer between quantum states and biological molecular dynamics. The theory is built on generalized non-Hermitian Chern numbers, Berry phase matching, and unitary conformal mapping, with a strict fidelity constraint of F≥99.95% and a non-Hermitian backscattering-free condition for edge-state transport. This work unifies non-Hermitian quantum mechanics, topological condensed matter physics, and biological quantum dynamics, offering testable predictions for coherence enhancement in photosynthetic complexes, topological protection in ion channels, and DNA topological information encoding. All results are derived from open axiomatic quantum theory with no confidential content, providing a new theoretical foundation for next-generation quantum-biological interfaces.
This preprint proposes the BT-PEC Triadic Coupling Universal Origin Theory, which gives a novel ontological interpretation for wave-particle duality. The theory constructs a closed-loop constraint equation Ω(B,T,PEC)=0, where B denotes Base ontological substrate, T represents Transform topological operator, and PEC stands for P-Emergent Code high-order emergent information entity. Three foundational axioms are established: the Single Anchor Point Axiom, the Dual Vision Axiom, and the Gradual Change Without Breakpoint Axiom. We argue that particle and wave features are merely two homologous projective manifestations from the same triadic-coupled quantum system under different observational dimensions, rather than mutually exclusive intrinsic ontology of microscopic particles. This framework resolves the century-old logical paradox of wave-particle duality at the ontological level, and provides a unified paradigm for fundamental quantum phenomenology.