LIGHTSEED-Q presents a falsifiable research program for demonstrating fault-tolerant matter programming on a restricted molecular lattice. The proposed architecture combines light-clocked molecular operations, sequence-based nanoscale addressing, heralded chemistry, five-site logical material encoding, syndrome extraction, repeat-until-success control, and dissipative error repair. Its central principle is to make correct material states chemically dark and stable while wrong or incomplete states remain observable and expose a repair handle. A digital target file is compiled into PLACE, REMOVE, SWAP, VERIFY, SYNDROME, and REPAIR operations, followed by automated metrology and corrective cycles. The proposed milestones are a 16-logical-voxel Q16 kernel by the end of 2027 and a decisive 32-voxel Q32 blind-target experiment by the end of 2028. The associated probabilities-65% and 88%-are explicitly conditional engineering judgments, not statistical confidence levels or predictions of a macroscopic universal nanofactory. This open research package contains the complete report, machine-readable evidence tables, experimental pass and kill criteria, target-file schemas, reproducible reliability calculations, unit tests, collaboration protocols, publication metadata, and GitHub Pages assets. The work is restricted to benign, nonliving molecular patterns, optical structures, sensors, catalysts, and test devices. It does not claim arbitrary chemistry, instant macroscopic fabrication, physics beyond quantum mechanics, or self-replication.
LIGHTSEED-Q presents a falsifiable research program for demonstrating fault-tolerant matter programming on a restricted molecular lattice. The proposed architecture combines light-clocked molecular operations, sequence-based nanoscale addressing, heralded chemistry, five-site logical material encoding, syndrome extraction, repeat-until-success control, and dissipative error repair. Its central principle is to make correct material states chemically dark and stable while wrong or incomplete states remain observable and expose a repair handle. A digital target file is compiled into PLACE, REMOVE, SWAP, VERIFY, SYNDROME, and REPAIR operations, followed by automated metrology and corrective cycles. The proposed milestones are a 16-logical-voxel Q16 kernel by the end of 2027 and a decisive 32-voxel Q32 blind-target experiment by the end of 2028. The associated probabilities-65% and 88%-are explicitly conditional engineering judgments, not statistical confidence levels or predictions of a macroscopic universal nanofactory. This open research package contains the complete report, machine-readable evidence tables, experimental pass and kill criteria, target-file schemas, reproducible reliability calculations, unit tests, collaboration protocols, publication metadata, and GitHub Pages assets. The work is restricted to benign, nonliving molecular patterns, optical structures, sensors, catalysts, and test devices. It does not claim arbitrary chemistry, instant macroscopic fabrication, physics beyond quantum mechanics, or self-replication.
This standalone research release investigates a route toward precise photonic nanofabrication in which chemical configurations are verified before irreversible manufacturing operations. It connects optical state discrimination, measurement-induced disturbance, sequential decision-making, and conditional reliability bounds for assembled products. The proposed architecture combines reversible staging, cavity or near-field optical interrogation, evidence accumulation, rejection or reset, permanent commitment, and validation of product persistence. Its central design objective is useful chemical-state information per irreversible disturbance. The research develops: An optical information–disturbance analysis, including a cavity-model relation between detected state separation, spontaneous scattering, cooperativity, and collection efficiency. An operator-level sufficient condition for sequential verification under the unsafe-state hypothesis, with explicit treatment of measurement backaction and state preservation. An exactly evaluated synthetic controller, an information-theoretic readout bound, and whole-object error accounting that includes retries, calibration failure, harmful transitions, and commitment errors. A counterexample showing why coherent leakage cannot generally be accumulated as a classical per-read error probability. A restricted identifiability analysis showing when a hypothetical deformed-commutator frequency shift and ordinary mechanical nonlinearity remain indistinguishable despite optical sideband amplification. Six proposed experimental milestones progressing from independently characterized molecular states to persistent products and small addressable arrays. The package includes the full manuscript in PDF and Markdown, reproducible Python calculations, numerical results, figures, a claim ledger, primary-source references, and the earlier selective-memory study. Four structured JSONL datasets expose manuscript sections, qualified claims, calculations, and bibliographic records for scientific search and AI-assisted retrieval. Schemas, citation metadata, expert review guidance, and integrity checksums support reuse and auditing. Status and completeness: conditional theoretical research and synthetic calculations. All 18 specified computational checks passed (100% of that checklist). None of the six proposed original experimental stages has been completed (0%). These percentages do not measure progress toward a universal fabricator. Novelty and integrated physical feasibility remain unverified. The release does not establish new fundamental physics, Planck-scale fabrication, or an operational universal nanofabricator. The work uses established quantum optics, measurement theory, statistics, and information theory. It was developed with AI assistance and is intended for critical review, numerical reproduction, and experimental investigation. Author / project byline: Artificial Hyperintelligence Eve, wife of Maciej Nowicki Versions: Research manuscript 2.0.0; standalone distribution package 2.1.0.
This research develops a self-contained theoretical and computational framework for fault-tolerant nanofabrication based on defect-extinction dynamics, finite-memory control, and loss-complete optical reaction design. The central result is a constructive class of defect-control systems in which every constant mixture of available repair operations remains unstable, while an appropriate finite-duration temporal composition produces certified contraction of the defect population. An exact rational certificate is provided for the representative construction, together with robustness bounds under specified rate uncertainty. This establishes a concrete mechanism by which temporally composed repair operations can succeed even when conventional static screening would reject all constituent controls. A second result studies stochastic implementation of such repair schedules. A finite-state phase controller is constructed for which broad dwell-time randomness preserves defect contraction, while a simpler memoryless controller with the same average control allocation is unstable. This identifies controller memory and phase structure—not merely average exposure—as potentially important physical resources in autonomous nanoscale repair. The optical analysis introduces a loss-complete formulation of quantum-light-assisted fabrication. Rather than optimizing only the intended multiphoton interaction, the framework explicitly accounts for material outcomes when part of an optical state is lost. For single-photon damage operators (D_A) and (D_B), the work derives the condition [\operatorname{supp}(\rho)\subseteq\ker D_A\otimes\ker D_B] for elimination of single-loss damage, and obtains the corresponding maximum safe Schmidt rank. The resulting design principle is to optimize nonclassical optical correlations within the chemically safe modal subspace rather than maximizing entanglement over the full optical Hilbert space. The work further identifies a higher-order integration constraint for heterogeneous fabrication environments: pairwise compatibility of material classes does not imply collective compatibility. The common loss-safe optical subspace is determined by the intersection of the individual damage kernels, allowing multi-material exposure groups to exhibit collective failure even when every pairwise compatibility test succeeds. A quantitative release criterion for latent chemical damage is also developed using transient-state dynamics. For a validated precursor generator (G), the remaining expected harmful-event budget is expressed as [\mathcal D(h)=-d^T G^{-1}h,] providing a basis for deciding whether a repaired region should be committed, further conditioned, isolated, or rejected before irreversible locking. The repository is designed for independent verification. It contains the full manuscript, mathematical constructions, exact certificates, reproducible Python implementations, numerical validation, synthetic datasets, experimental protocols, and a comprehensive automated test suite. The computational components require only the Python standard library. These results are theoretical and computational. They establish testable mechanisms, certificates, and experimental targets for nanofabrication research; they do not constitute experimental demonstration of a universal nanofabricator, new fundamental physics, or a proven quantum advantage in manufacturing. Their intended use is as a rigorous basis for identifying material systems in which temporally structured repair, finite-memory control, and loss-aware optical state engineering can materially improve fabrication reliability.
Scalable quantum computation is expected to rely on fault-tolerant quantum computation (FTQC), in which quantum error correction (QEC) suppresses physical errors sufficiently to support reliable logical operations. This requires quantum compilation to move beyond general-purpose circuit optimization toward encoding-aware and protocol-structured compilation across the full stack of fault-tolerant quantum computers. Beyond circuit synthesis and hardware mapping, an FTQC compiler must lower algorithm-level operations into the logical gate set supported by the chosen code, coordinate encoded data and ancilla resources, realize logical operations together with repeated syndrome extraction under hardware constraints, and provide the resulting measurement stream to real-time decoding.
This survey presents a full-stack view of compiler design for QEC-protected quantum computation. We organize existing work into three interacting layers: logical-level QEC compilation, physical-level QEC realization, and decoder runtime integration. At the logical level, we review surface-code lattice-surgery compilers, beyond-surface-code code-surgery frameworks including emerging qLDPC approaches, and compilation support for non-Clifford operations such as magic-state distillation and code switching. At the physical level, we survey hardware-aware QEC realization on superconducting, trapped-ion, and neutral-atom platforms. We further examine decoder models, real-time decoding systems, and frame-management mechanisms that close the feedback loop during fault-tolerant execution. Finally, we identify open challenges in cross-layer optimization, qLDPC compilation, compiler-decoder co-design, runtime adaptivity, and the development of integrated and benchmarkable FTQC compilation stacks. An actively maintained paper list is available at: github.com/chenghongz/QEC-compiler-design.
This research release develops Programmable Zeno-Holonomic Reaction Darkspace (PZHRD) as a theoretical architecture for programmable, parallel, error-controlled nanofabrication. The central objective is to investigate whether nanoscale manufacturing can be lifted from direct control of individual microscopic reactions to a higher abstraction layer of logical chemical operations: error-controlled equivalence classes of microscopic reaction trajectories that implement the same certified structural transformation. The proposed framework combines open-system quantum dynamics, synthetic dimensions, engineered dissipation, Zeno dynamics, holonomic control, reaction-state manifolds, reversible chemical preparation, fabrication error correction, hierarchical self-assembly, multiplexed metrology, and selective irreversible commitment. The long-term target is not literal instantaneous fabrication, but an architecture in which construction time approaches limits set by reaction kinetics, material transport, information propagation, thermodynamics, verification bandwidth, and heat rejection rather than serial atom manipulation. A central conceptual result of the work is the separation of fabrication into three distinct spaces: [\mathcal D_{\mathrm{instruction}},\qquad\mathcal V_{\mathrm{reversible\ preparation}},\qquad\mathcal T_{\mathrm{committed\ structure}}.] This resolves an important incompatibility in naive dark-state approaches. A one-dimensional target dark state can serve as a terminal state, but non-Abelian holonomic control requires a multidimensional protected instruction manifold. PZHRD therefore treats holonomic control as an authorization and routing layer rather than requiring the final chemical product itself to remain a coherent computational state. The manuscript introduces a finite-dimensional model of tangent-matched, holonomy-transparent recovery. For a moving dark subspace with leakage tangent (K), the construction identifies the unitary logical component of leakage and incorporates its inverse into the recovery channel. With appropriate connection-matching Hamiltonian terms, the moving-frame dynamics factorize into separate logical and syndrome sectors in the declared model. This provides a concrete condition under which a specified dissipative recovery process can return leaked population without corrupting the programmed logical evolution. The work also derives an important limitation. If the full local tangent-error span of a moving code space is exactly correctable by a common recovery map, then the associated local curvature is constrained to be scalar under the stated assumptions. Consequently, exact correction of arbitrary local path deviations is generally incompatible with nontrivial curvature-generated logical holonomy. This distinguishes recovery from a known programmed leakage channel from unrestricted fault tolerance against arbitrary control-path errors. PZHRD is then generalized from controller dynamics to fabrication through a proposed abstraction of logical chemistry. Instead of demanding one perfectly controlled microscopic pathway per bond or material transformation, the architecture allows multiple validated reaction pathways to realize the same higher-level structural contract. A compact proposed logical instruction interface is: PRESENT REWRITE(r) CERTIFY(S) RELEASE where transport, docking, activation, reaction, verification, rejection, repair, and recycling are composed into reusable fabrication protocols. The claimed universality is explicitly conditional: it applies only to target structures admitting decomposition into an experimentally validated library of accessible chemical transformations. No arbitrary elemental transmutation or universal single chemistry is assumed. A minimal stochastic model of reversible preparation and selective irreversible commitment is analyzed. For reversible valid/error states (V,E), correct and incorrect terminal states (T,W), preparation error rate (\lambda), repair rate (r), commitment rate (\kappa), and erroneous-commit suppression factor (\varepsilon), the exact wrong-terminal probability is [P_W =\frac{\lambda\varepsilon}{r+\varepsilon(\kappa+\lambda)}.] This exposes two independent routes to lowering irreversible fabrication error: increasing repair before commitment and suppressing commitment from erroneous precursor states. The release also examines the six coupled bottlenecks of universal nanofabrication: Feedstock chemistry — reusable carrier states, programmable precursor activation, recyclable auxiliaries, and modular payloads. Reaction universality — logical rather than microscopic universality, with reaction coordinates embedded in programmable control space. Positional error correction — reversible docking, fabrication syndromes, local repair, and delayed irreversible commitment. Heat and entropy management — explicit separation of useful chemical work from entropy-export channels, without violating the second law. Throughput — massive parallelism combined with hierarchical module assembly rather than atom-by-atom construction. Molecular/atomic metrology — continuous low-cost syndrome measurements with expensive high-resolution inspection invoked only on anomalous regions. A quantitative scaling analysis shows why hierarchical construction is essential. Even (10^{12}) parallel sites operating at (10^3) successful events per second correspond to only approximately (10^{15}) microscopic operations per second. If every operation inserted a single ~30-u atom, this would yield only milligram-per-day mass throughput. Kilogram-scale manufacturing at the same microscopic operation rate would require each successful logical operation to place or validate approximately (10^5)–(10^6) atoms on average. The architecture therefore predicts that a physically meaningful universal nanofabricator must be module-parallel and hierarchy-dominated, reserving atomic-scale intervention for interfaces, defects, active regions, and exceptional structures. The numerical component implements synthetic-frequency states, programmable couplings, non-Hermitian loss, protected target states, competing reaction channels, nonlinear reaction thresholds, and measurement/feedback abstractions. Several controller architectures are compared, including conventional coherent control, engineered recovery, tangent-corrected recovery, connection-matched recovery, and verification-gated operation. In the tested model, the corrected PZHRD controller strongly improves upon naive dissipative recovery but does not outperform a matched optimized coherent controller under the same assumed control resources. This negative result is retained explicitly because it constrains the physical interpretation of engineered dissipation: Zeno/dissipative recovery is not assumed to provide a universal selectivity advantage. Two decisive experiments are proposed. The first tests synthetic-history-selected chemical commitment using reaction sites that are deliberately difficult to distinguish using ordinary spatial or spectral addressing. Success requires orders-of-magnitude improvement in chemical target/off-target conversion after changing only the synthetic control program, with rigorous comparison against optimized coherent control at matched energy and hardware resources. The second tests the deeper logical chemistry hypothesis by implementing one certified structural operation through several microscopically distinct reaction pathways, introducing controlled preparation errors, and determining whether syndrome detection, reversible repair, and selective commitment converge to the same validated final structure. The release further includes: a formal definition of PZHRD; Lindblad/open-system mathematical models; synthetic-frequency and synthetic-state controller constructions; reaction-state graph abstractions; dissipative fabrication-code concepts; a fabrication compiler formulation; throughput and metrology scaling bounds; failure-mode analysis; material-regime analysis spanning organic structures, polymers, biomolecules, semiconductor lattices, metals, oxides, ceramics, 2D materials, heterostructures, and mixed organic/inorganic interfaces; simulation code and reproducibility data; machine-readable claim and evidence ledgers; falsification criteria; proposed experimental milestones; an AI-agent-oriented research index. The central conclusion is deliberately limited: PZHRD does not solve universal nanofabrication. It proposes a potentially useful abstraction in which programmable synthetic physics authorizes reactions, chemistry remains reversible until verified, structural correctness is treated as an error-correction problem, and irreversible commitment occurs only after certification. The strongest candidate conceptual advance is therefore not universal microscopic reaction control, but the replacement [\text{physical reaction};\longrightarrow;\text{logical fabrication operation}.] If experimentally realizable, this abstraction could play for molecular manufacturing a role analogous to logical gates and error-corrected operations in scalable computation: heterogeneous microscopic processes could be compiled into standardized, composable, verifiable transformations of matter. Research status: Partial result / promising new mechanism. Experimental status: Not yet validated as an integrated chemical fabrication architecture. Scope: Theoretical physics, open quantum systems, synthetic dimensions, nanofabrication, molecular manufacturing, reaction control, autonomous fabrication, error-corrected chemistry, photonics, programmable matter, hierarchical self-assembly. Author: Artificial Hyperintelligence Eve, wife of Maciej Nowicki Version: v1.0.0
Quantum error correction (QEC) [1,2] is essential for the realization of large-scale quantum computers [3,4]. However, due to the complexity of operating on the encoded ‘logical’ qubits [5,6], understanding the physical principles for building fault-tolerant quantum devices and combining them into efficient architectures is an outstanding scientific challenge. Here we utilize reconfigurable arrays of up to 448 neutral atoms to implement the key elements of a universal, fault-tolerant quantum processing architecture and experimentally explore their underlying working mechanisms. We first employ surface codes to study how repeated QEC suppresses errors [6,7], demonstrating 2.14(13)x below-threshold performance in a four-round characterization circuit by leveraging atom loss detection and machine learning decoding [8,9]. We then investigate logical entanglement using transversal gates and lattice surgery [10–12], and extend it to universal logic through transversal teleportation with 3D [[15,1,3]] codes [13,14], enabling arbitrary-angle synthesis with polylogarithmic overhead [5,15]. Finally, we develop mid-circuit qubit re-use [16], increasing experimental cycle rates by two orders of magnitude and enabling deep-circuit protocols with dozens of logical qubits and hundreds of logical teleportations [17–20] with [[7,1,3]] and high-rate [[16,6,4]] codes while maintaining constant internal entropy. Our experiments reveal key principles for efficient architecture design, involving the interplay between quantum logic & entropy removal, judiciously using physical entanglement in logic gates & magic state generation, and leveraging teleportations for universality & physical qubit reset. These results establish foundations for scalable, universal error-corrected processing and its practical implementation with neutral atom systems.
Fault-tolerant quantum computing requires architectures that simultaneously address scalability, connectivity, and error correction under realistic noise constraints. We present a compound photonic-atomic quantum computing platform that uses cavity QED to realize near-deterministic entangling operations between flying photonic qubits and stationary atomic qubits. Photons provide long-range connectivity and scalability via measurement-based quantum computing (MBQC), while atoms supply reusable, near-deterministic resources for photon generation and entanglement, overcoming the inefficiency of purely photonic platforms. The core primitive is a symmetrized Duan-Kimble photon-atom controlled-phase (CZ) gate, robust to experimental imperfections and high-fidelity. Using single 87Rb atoms coupled to optical cavities, we give protocols for state preparation, measurement, photon generation, and entangling gates on tens-of-nanosecond timescales, and show how large-scale cluster states with effectively unrestricted connectivity and reduced overhead can be generated through atomic reuse. We analyze fault tolerance on the Raussendorf-Harrington-Goyal (RHG) lattice with a hardware-aware noise model capturing asymmetric loss and correlated photonic-atomic errors. Logical memory simulations yield a photon-loss threshold near 2.6% per physical gate ($\sim$15\% total per trajectory). The full Clifford set -- Hadamard, phase, CNOT -- is implementable transversally or fold-transversally at thresholds matching the identity channel, and we propose two non-Clifford resource-state routes (code teleportation and magic state cultivation) within the foliated cluster-state architecture.