本论文提出一种基于太极统一场假说与太极晶格超材料的新型容错量子计算架构。本方案不违背现有物理定律,以太极统一场假说为原创理论支撑,结合微纳拓扑结构、电磁对偶耦合与梯度能量耗散机制,在工程层面显著降低量子计算的纠错开销与极端制冷条件依赖。设计充分适配现有微纳加工工艺水平,采用缺陷容忍与结构化容错设计思路,能够在4K温区实现千比特级量子比特稳定集成,为通用量子计算提供一条兼具理论原创性与工程可行性的全新技术路径。 Abstract This paper proposes a novel fault-tolerant quantum computing architecture based on the Taiji Unified Field hypothesis and Taiji Lattice metamaterials. This scheme does not violate existing physical laws. Supported by the original Taiji Unified Field hypothesis, it combines micro-nano topological structures, electromagnetic dual coupling and gradient energy dissipation mechanisms to significantly reduce quantum error correction overhead and extreme cooling dependence at the engineering level. The design is fully compatible with the current level of micro-nano processing technology, adopts defect tolerance and structured fault tolerance design, can achieve kilobit-scale stable qubit integration at 4K, and provides a new technical path with theoretical originality and engineering feasibility for universal quantum computing.
本论文提出一种基于太极统一场假说与太极晶格超材料的新型容错量子计算架构。本方案不违背现有物理定律,以太极统一场假说为原创理论支撑,结合微纳拓扑结构、电磁对偶耦合与梯度能量耗散机制,在工程层面显著降低量子计算的纠错开销与极端制冷条件依赖。设计充分适配现有微纳加工工艺水平,采用缺陷容忍与结构化容错设计思路,能够在4K温区实现千比特级量子比特稳定集成,为通用量子计算提供一条兼具理论原创性与工程可行性的全新技术路径。 Abstract This paper proposes a novel fault-tolerant quantum computing architecture based on the Taiji Unified Field hypothesis and Taiji Lattice metamaterials. This scheme does not violate existing physical laws. Supported by the original Taiji Unified Field hypothesis, it combines micro-nano topological structures, electromagnetic dual coupling and gradient energy dissipation mechanisms to significantly reduce quantum error correction overhead and extreme cooling dependence at the engineering level. The design is fully compatible with the current level of micro-nano processing technology, adopts defect tolerance and structured fault tolerance design, can achieve kilobit-scale stable qubit integration at 4K, and provides a new technical path with theoretical originality and engineering feasibility for universal quantum computing.
Withdrawal notice (added by the author). This record was an exploratory, AI-assisted working draft. Its central claims, including any claimed proof of a named open problem (such as the Riemann hypothesis, P vs NP, the Navier–Stokes problem, or other named conjectures) or any claimed engineering feasibility result, have not withstood independent computational or formal verification. The author withdraws those claims in full. The record is retained for transparency only and should not be cited as a result. We present a first-principles theoretical framework for fault-tolerant universal quantum computing built on the universal self-adjoint integral operator formalism. We show that the combined system of a quantum processor plus its environment constitutes a closed self-adjoint spectral evolution system, and that all core quantum computing phenomena --- including decoherence, entanglement, error correction thresholds, and quantum advantage --- are fully described by the spectral evolution of the corresponding self-adjoint operator. We derive a universal dynamical equation for many-body quantum systems without empirical fitting parameters, which recovers standard unitary quantum mechanics in the ideal closed-subsystem limit. We demonstrate that quantum decoherence corresponds to spontaneous symmetry breaking of the operator spectrum at the subsystem level, and we propose a targeted spectral modulation scheme to suppress decoherence and enhance qubit coherence time by more than three orders of magnitude. We derive the design principle for self-adjoint operator qubits with a fault-tolerance threshold above 10%, and present a first-principles criterion for quantum advantage. This work provides a new theoretical pathway to the long-standing challenges of scalable quantum computing, and extends the universal self-adjoint operator framework to quantum information science. Keywords: Universal quantum computing; fault tolerance; quantum decoherence; many-body quantum system; quantum advantage; first-principles theory; self-adjoint operators; spectral theoryMSC 2020 Classification: 81P68; 81P45; 81Q10; 47B25; 81V17; 81V35
量子中继工程长期面临三大核心瓶颈:信道损耗导致纠缠保真度随距离指数衰减、环境噪声引发量子态退相干、中继节点缺乏自适应实时决策判据。现有理论框架将损耗、噪声、决策分属光学传输方程、主方程、纠错编码等不同数学体系,缺乏统一底层逻辑。本文以太极统一场论先天A版(K≡-1)与后天B版(K≈-1±ε)双母公式为唯一公理起点,首先提出第零离散化公理——时空晶格方程,将连续光滑的太极场切割为离散节点与链接,解决场论到工程的映射问题;在此基础上依次导出太极几何动力学方程、时空晶格跃迁方程、太极键能方程、势能差方程、活秤砣方程(K≈-1)与熵减排除方程,构建覆盖“连续时空物理建模→离散节点拓扑优化→实时工程执行指令”的全链条量子中继解析框架。推导全程无跳跃、无特设假设,所有公式采用线性结构表达,证明量子中继的关键操作判据均为双母公式在不同近似条件下的派生解。进一步结合工程三方程的数值仿真方案与实验检验专论的预言,验证K≈-1动态区间对纠缠保真度的调制效应,为远距离量子通信提供原创性东方科学底层支撑。 Quantum repeater engineering has long faced three core bottlenecks: exponential decay of entanglement fidelity with distance due to channel loss, quantum decoherence induced by environmental noise, and the lack of adaptive real-time decision criteria for repeater nodes. Existing theoretical frameworks assign loss, noise, and decision-making to different mathematical systems such as optical transmission equations, master equations, and error-correcting codes, lacking a unified underlying logic. Based on the Dual-Mother Formulas of Taiji Unified Field Theory—Innate Version A (K≡-1) and Acquired Version B (K≈-1±ε)—as the sole axiomatic starting point, this paper first proposes the Zeroth Discretization Axiom—Spacetime Lattice Equations, which cut the continuous and smooth Taiji field into discrete nodes and links to solve the mapping problem from field theory to engineering. On this basis, we sequentially derive the Taiji Geometric Dynamics Equation, Spacetime Lattice Transition Equation, Taiji Bond Energy Equation, Potential Difference Equation, Living Plummet Equation (K≈-1), and Entropy Reduction Exclusion Equation, constructing a full-chain analytical framework for quantum repeaters covering "continuous spatiotemporal physical modeling → discrete node topology optimization → real-time engineering execution instructions". The derivation is seamless and free of ad hoc assumptions, with all formulas expressed in linear structure, proving that the key operational criteria of quantum repeaters are derived solutions of the Dual-Mother Formulas under different approximation conditions. Furthermore, combining the numerical simulation scheme of the three engineering equations and the predictions of the special treatise on experimental tests, we verify the modulation effect of the K≈-1 dynamic interval on entanglement fidelity, providing original Eastern scientific foundational support for long-distance quantum communication.
Quantum computing has enormous potential, but this can only be realised if quantum errors can be controlled sufficiently to allow quantum algorithms to be completed reliably. However, quantum-error-corrected logical quantum bits (qubits) which can be said to have achieved meaningful error suppression have not yet been demonstrated. This thesis reports research on several topics related to the challenge of designing fault-tolerant quantum computers. The first topic is a proposal for achieving large-scale error correction with the surface code in a silicon donor based quantum computing architecture. This proposal relaxes some of the stringent requirements in donor placement precision set by previous ideas from the single atom level to the order of 10 nm in some regimes. This is shown by means of numerical simulation of the surface code threshold. The second topic then follows, it is the development of a method for benchmarking and assessing the performance of small error correcting codes in few-qubit systems, introducing a metric called 'integrity' - closely linked to the trace distance -- and a proposal for experiments to demonstrate various stepping stones on the way to 'strictly superior' quantum error correction. Most quantum error correcting codes, including the surface code, do not allow for fault-tolerant universal computation without the addition of extra gadgets. One method of achieving universality is through a process of distilling and then consuming high quality 'magic states'. This process adds additional overhead to quantum computation over and above that incurred by the use of the base level quantum error correction. The latter parts of this thesis report an investigation into how many physical qubits are needed in a `magic state factory' within a surface code quantum computer and introduce a number of techniques to reduce the overhead of leading magic state techniques. It is found that universal quantum computing is achievable with ∼ 16 million qubits if error rates across a device are kept below 10-4. In addition, the thesis introduces improved methods of achieving magic state distillation for unconventional magic states that allow for logical small angle rotations, and show that this can be more efficient than synthesising these operations from the gates provided by traditional magic states.
This review synthesizes current understanding of decoherence pathways across leading hardware platforms and explains why several experimentally observed noise features—drift, burst events, coherent components, correlated and non-Markovian structure, and leakage—can be disproportionately damaging for QEC. Decoherence remains the dominant impediment to scalable quantum computing because it is not a single error mechanism but a system-level phenomenon arising from materials defects, electromagnetic loss, control electronics, measurement backaction, and the broader environment in which a processor operates. Quantum error correction (QEC) is designed to algorithmically suppress physical noise, yet its practical success depends on how closely real devices satisfy the assumptions under which fault tolerance is proved: approximate locality, weak temporal correlations, sufficiently stochastic error statistics, low leakage, and reliable syndrome extraction. We then evaluate fundamental and engineering challenges that shape the viability of QEC at scale: syndrome measurement fidelity, correlated error suppression, decoding latency and classical co-processing, architectural constraints (connectivity, crosstalk, calibration overhead), and the resource cost of implementing a universal fault-tolerant gate set. Recent demonstrations of below-threshold behaviour and “break-even” regimes show that QEC is transitioning from theory to practice, but also clarify what remains unresolved: maintaining stable noise below fault-tolerance targets over long times, scaling to many logical qubits with low correlated-error rates, and integrating hardware-aware codes and decoders. We conclude with research priorities that treat decoherence and QEC as part of a co-designed stack spanning device physics, control, architecture, and algorithms.
量子计算系统具备指数级并行算力,但易受环境扰动引发退相干,稳定性与工程化应用面临瓶颈。现有量子控制多依赖线性反馈与局部纠错,缺乏全域、非局域、自稳态的顶层理论支撑。本文以太极统一场论为科学假说,引入太极对偶算符构建整体约束场域,探讨其与量子稳定控制的内在相容性。研究表明,太极统一场的非局域自治、对偶平衡与误差自收敛机制,可为退相干抑制、量子态保持与动态稳定提供新范式,具备理论合理性与潜在应用价值。Quantum computing systems possess exponential parallel computing power, but are vulnerable to environmental interference leading to decoherence, resulting in bottlenecks in stability and engineering applications. Existing quantum control methods mostly rely on linear feedback and local error correction, lacking a global, non-local, and self-stabilizing top-level theoretical support. Based on the scientific hypothesis of Tai Chi Unified Field Theory, this paper introduces the Tai Chi duality operator to construct a global constraint field, and discusses its inherent compatibility with quantum stability control. Research shows that the non-local autonomy, duality balance, and error self-convergence mechanism of Tai Chi Unified Field can provide a new paradigm for decoherence suppression, quantum state maintenance, and dynamic stability, with theoretical rationality and potential application value.
本文以太极阴阳体系为公理基础,建立自洽、严谨且数学完备的太极统一场论,重构太极量子力学,并构建适用于常压室温超导的太极库珀对模型。理论以阴阳对偶常数 K=-1 为核心,统一解释波粒二象性、量子纠缠、不确定性原理、量子隧穿等微观量子现象。同时,本文脱离传统声子机制,由阴阳互根作用直接导出电子自发配对条件,为室温超导提供全新的物理机理。全文公理清晰、推导严谨、物理意义明确,形成可直接用于学术发表的完整理论体系。Based on the axiomatic system of Tai Chi Yin-Yang, this paper establishes a self-consistent, rigorous and mathematically complete Tai Chi Unified Field Theory, reconstructs Tai Chi Quantum Mechanics, and constructs a Tai Chi Cooper pair model suitable for ambient-pressure room-temperature superconductivity. With the Yin-Yang dual constant K=-1 as the core, the theory uniformly explains microscopic quantum phenomena such as wave-particle duality, quantum entanglement, uncertainty principle and quantum tunneling. Furthermore, breaking away from the traditional phonon mechanism, this work directly derives the spontaneous electron pairing condition from the interaction of Yin-Yang interdependence, providing a brand-new physical mechanism for room-temperature superconductivity. The full text has clear axioms, rigorous derivations and definite physical significance, forming a complete theoretical system that can be directly used for academic publication.