Quantum Research

High-Rate Quantum Error Correction

A patent-pending code family designed for fault-tolerant quantum computing at industry-leading encoding rates.

The Research

A new corner of the parameter space.

Quantum error correction is the fundamental bottleneck between today's noisy quantum processors and practical fault-tolerant quantum computing. The dominant approaches — surface codes and bivariate bicycle codes — have well-known tradeoffs between encoding rate, code distance, and hardware connectivity requirements.

Our research explores a previously unexplored region of the qLDPC code design space: high-rate codes built from structured algebraic constructions with symmetry-based design principles. The resulting codes achieve encoding rates substantially higher than published alternatives, while remaining compatible with multiple hardware platforms.

What Makes This Different

Traditional high-rate qLDPC codes trade distance for density. Our construction achieves both through concatenation with repetition-style outer codes.

  • Industry-leading density
    Significantly higher logical-to-physical qubit ratios than surface codes
  • Circuit-level validated
    Performance verified under realistic hardware noise models
  • Multi-platform fit
    Validated for neutral atom, trapped ion, and 2D planar superconducting hardware
  • Standard decoder stack
    Works with off-the-shelf BP-OSD decoders, GPU-accelerator compatible
Research Themes

Core Areas of Investigation

Our work spans code construction, decoding, hardware integration, and fault-tolerant architecture design.

Code Construction

Novel qLDPC code families with high encoding rates. Systematic search across structured polynomial families, verified by exhaustive distance enumeration and certified rank computation.

  • Novel code construction methodology
  • Symmetry-based design principles
  • Concatenated code architectures
  • Scalable code family design

Decoding & Verification

Industry-standard BP-OSD decoder integration and circuit-level simulation using modern toolchains. Exhaustive distance verification across billions of error configurations.

  • BP-OSD decoder tuning
  • Circuit-level simulation (stim)
  • Monte Carlo validation
  • Statistical confidence analysis

Hardware Architecture

Platform-specific implementation analysis across neutral atom, trapped ion, and superconducting hardware. Measurement protocol design and 2D planar routing optimization.

  • Steane-type transversal measurement
  • Gauge decomposition for 2D layouts
  • SWAP routing optimization
  • Multi-platform benchmarking
Technology Stack

Built on industry-standard foundations.

We build on the modern quantum research toolchain, ensuring our work is reproducible, verifiable, and compatible with current hardware partners.

Simulation
stim

C++-speed circuit-level noise simulation

Decoding
BP-OSD

Industry-standard belief propagation + ordered statistics

Verification
galois

Certified GF(2) rank computation

Hardware
Qiskit

QASM circuit generation for real hardware

Intellectual Property

Patent-Pending Technology

Our core research is protected through multiple US provisional patent filings with ongoing preparation for non-provisional and international filings.

Patent Portfolio

  • US Provisional Applications (2026) Core code construction, concatenation methods, measurement protocols, and planar-routing techniques — multiple filings covering the full research scope
  • International Filing Strategy PCT application planned within priority window; national-phase protection in target jurisdictions
  • Non-Provisional Timeline Non-provisional filing in preparation; patent counsel engagement in progress

Specific patent application numbers, technical details, and benchmark results are available under appropriate non-disclosure terms for qualified evaluators.

Applications

Where This Technology Fits

High-rate fault-tolerant quantum codes enable a range of near-term and next-generation applications on existing and emerging hardware.

Condensed Matter Simulation

Fermi-Hubbard model simulation and related problems in materials science, enabling error-corrected studies of high-temperature superconductivity and strongly correlated systems.

Quantum Chemistry

Ground-state calculations for iron-sulfur clusters, battery cathode materials, and OLED emitter excited states — within logical qubit budgets achievable on near-term hardware.

Certified Randomness

Provably unpredictable random number generation for cryptographic and regulatory applications. A demonstrated commercial use case at achievable logical qubit counts.

Interested in Evaluating This Technology?

Technical evaluation discussions available under appropriate confidentiality terms. Reach out to explore platform fit, licensing structures, or research collaboration.

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