Universal Classical-First Hybrid Quantum Engine

Simulate Physical Reality.
Solve Intractable QMA & NP-Hard Problems.

HQFAST is the universal hybrid compute platform solving extreme electronic structure physics and large-scale combinatorial optimization. By executing high-performance tensor networks (MPS-DMRG) classically first and enforcing configurable strict budget caps, HQFAST eliminates quantum cost runaway while accelerating deep simulations across chemistry, pharmacology, catalysis, and complex networks.

≤1.6 mHa
Guaranteed Chemical Accuracy
Sub-millihartree exact ground states
NP-Hard
QOBLIB QUBO Optimization
Native combinatorial solvers
94%+
Cloud Compute Cost Reduction
vs uncompressed raw QPU shot costs
100% Neutral
Quantum Hardware Independent
Superconducting, Ion, Atom & Local MPS

Classical-First Core. Fully Agnostic QPU Integration.

You are never locked into a single quantum hardware vendor. HQFAST executes the heaviest electronic wavefunctions classically via Matrix Product States (MPS-DMRG), dispatching only minimal, highly reduced sub-problems to external quantum backends when entanglement demands it.

Quantum Hardware and Classical Compute Node Schematic
HQFAST Hybrid Node Architecture: Classical Tensor HPC paired with Hardware-Neutral QPU Dispatch

Vendor-Neutral QPU Adapter Layer

Seamless execution across leading industry QPU physical modalities—including Superconducting Qubits, Trapped-Ion Processors, and Neutral-Atom Arrays—without altering domain logic.

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Classical-First Tensor Fallback

If QPU availability drops or queue latency spikes, HQFAST automatically executes classical tensor networks (MPS-DMRG) down to Chemical Accuracy (≤ 1.6 mHa) on local CPU/GPU hardware.

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Integrated QOBLIB QUBO Solvers

Includes built-in open-source combinatorial optimization algorithms (Apache 2.0 / CC-BY) for local, zero-cloud execution of NP-hard allocation and topology problems.

Solving the Two Hardest Mathematical Classes in Science

Whether simulating quantum many-body Schrödinger wavefunctions or optimizing exponential discrete combinatorial spaces, HQFAST routes computation through the most efficient classical and quantum pathways.

Physical World Simulation

QMA-Hard Electronic Structure

Direct simulation of multi-electron correlation, atomic force fields, and chemical reaction pathways without empirical approximations.

PySCF Electronic Integrals: Ab-initio 1-body and 2-body Coulomb/exchange tensor generation (h1, h2).
Matrix-Free Sparse FCI: Exact determinant-vector algebra solving 44,000+ Fock states in <6 MB RAM.
Fermionic MPO DMRG: Full Jordan-Wigner single-body hopping (XX+YY) and 2-body interactions with Fiedler orbital ordering.
Climbing-Image NEB: Exact transition state saddle-point barrier search with adaptive force convergence.
Combinatorial Optimization

NP-Hard Discrete & Topology Solvers

Solving large-scale binary quadratic optimization problems under strict physical, topological, and budget constraints.

QUBO & Ising Spin Glasses: Transformation of discrete NP-hard problems into Ising Hamiltonians.
QOBLIB Benchmark Integration: Native support for standard ZIB and IBM Quantum combinatorial optimization instances.
Vectorized Simulated Annealing: High-throughput Metropolis-Hastings stochastic solver with geometric cooling.
Smart Hardware Dispatch: Automatic complexity evaluation routing to D-Wave/QPU or classical tensor solvers.

Pluggable Layer 4 Domain Adapters

HQFAST's mathematical and quantum core is domain-agnostic. Industry-specific data and physical constraints plug directly into Layer 4 without modifying underlying quantum solvers.

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Commercial Wedge

Battery Chemistry & SEI

Solid Electrolyte Interphase passivation, lithium dendrite kinetics, and Arrhenius thermal breakdown modeling for solid-state batteries.

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Pharmacology

Targeted Oncology & Docking

QM/MM active-site partitioning for small-molecule inhibitor binding free energy (ΔG_bind) in oncology drug discovery.

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Green Chemistry

Enzyme Catalysis & MOFs

Transition-state barrier (E_a) search for multi-reference cofactors (Nitrogenase) and porous MOF carbon capture adsorption.

Grid & Logistics

Topology & Module Placement

High-density battery pack cell topology, resource scheduling, and power grid dispatch via NP-hard QUBO formulations.

Configurable Cost Control. Zero Cloud Surprises.

Quantum cloud API runs can quickly balloon into tens of thousands of dollars per experiment. HQFAST's CostGuardEngine puts complete financial control back in your hands.

Traditional Pure Quantum Cloud Approach

Raw QPU Shot Cost per Run $125,000+

Direct hardware execution of uncompressed wavefunctions leads to high shot counts, queue delays, and financial runaway.

  • ✕ Vulnerable to QPU cloud API price spikes
  • ✕ Unconstrained circuit depth costs
  • ✕ Hard vendor lock-in

Configurable Hybrid CostGuard Engine

Max Configurable Budget Cap / Run $10.00 – $50.00

Users define strict max spend limits per job. CostGuard dynamically clamps tensor bond dimension (χ ≤ 256) before any remote dispatch.

  • ✓ Strict pre-flight budget verification
  • ✓ Automatic memory & shot limit clamping
  • ✓ Hardware-neutral failover to local MPS classical solvers

Decoupled 4-Layer Modular Pipeline

Domain physics, cost routing, and presentation layers are strictly separated, ensuring zero hardcoding and maximum adaptability across scientific domains.

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Layer 4: SaaS API & Universal Domain Adapters

REST API / Dynamic Dashboard

Strict Scientific Rigor & Zero-Mocking Mandate: All UI badges, stress tensors, and verdicts are computed in real time from live algorithmic outputs.

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Layer 3: Smart Complexity Router & CostGuard

QOBLIB / Budget Safeguard

Evaluates von Neumann entanglement entropy (S_vN) and circuit depth. Clamps bond dimensions (χ ≤ 256) and enforces strict $50 max budget limits.

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Layer 2: Multi-Scale Physical Domain Engines

Kinetics & Force Fields

Pluggable physical modules computing E(3)-Equivariant Born-Oppenheimer stress tensors, Virial strain matrices, and Arrhenius chemical kinetics.

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Layer 1: Core Mathematical Solvers & Hardware Dispatch

PySCF / Sparse FCI / MPO DMRG

Calculates electronic structure integrals targeting Chemical Accuracy (≤ 0.0016 Hartree). Automated tests strictly execute on local CPU simulators.

Solid-State Battery Mechanics & SEI Interphase

See how HQFAST's universal tensor network and Arrhenius kinetics engine predicts interphase breakdown and thermal runaway in real time on our first commercial application.

Simulation Parameters

Select multi-scale physical solver
Atomic geometry & electronic structure reference
Thermal breakdown threshold ≥ 65°C
Yield stress risk threshold ≥ 0.4 GPa
Pre-flight execution spend limit

🔒 Interactive demo simulation preview. Private backend API keys required for production server runs.

Multi-Scale Interphase Stress Distribution Real-Time Canvas
Engine Status: System Idle. Ready for simulation.

Investor & Technical Documentation

Explore our complete business documentation, mathematical white paper, architectural specifications, and open-source licensing compliance.

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Investor Pitch Deck

Market size ($52B TAM), 8.5/10 investor readiness evaluation, business model, and commercial roadmap.

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Technical White Paper

Mathematical derivations of our Classical MPS-DMRG matrix mapping to QUBO formulation and CostGuard logic.

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OSS & Licensing Compliance

Full audit of QOBLIB integration (Apache 2.0 / CC-BY 4.0), PySCF, PennyLane, and Qiskit compliance.