Deep-Technology Research · Ontario, Canada
φCoherent Inc.
Designs grounded in φCoherent mathematics.
We build quantum computing systems, AGI architectures, compression codecs, and cryptographic protocols — all derived from a single mathematical identity. Zero free parameters. Every system composes.
The Foundation
One identity.
Every system we build derives from it.
Zero free parameters.
When every constant, every dimension, every transform
is constrained by a single mathematical identity,
systems stop fighting themselves.
They compose.
What We Build
Four disciplines.
Four disciplines.
One foundation.
Pillar I
Compression
A complete audio · image · video codec family. Lossless by default, deterministic across architectures. Already outperforms FLAC on all lossless metrics. Core to the AGI sensory pipeline.
Pillar II
Cryptography
A post-quantum cryptographic standard. Hash-based throughout — no algebraic hardness assumptions. Quantum-resistant by construction, not by patch. Native across the full stack.
Pillar III
Quantum Computing
Production-grade quantum simulation — statevector, stabilizer, MPS, and photonic — together with a novel family of N-nacci multi-stratum error correction codes, exact time-reversal recovery for characterized errors, proved closed-form channel analytics, and structural symmetry guarantees built into every ensemble level. Benchmarked against published noise specifications for 5 devices: IBM Heron R2, IBM Eagle R3, Google Willow, IonQ Forte, and Quantinuum H2.
Pillar IV
Artificial General Intelligence
A multi-sensory, multi-cognitive architecture derived entirely from first principles. Zero free parameters. Every instance born with a cryptographic quantum-resistant identity.
Pillar I · Compression
A complete codec family.
A complete codec family.
Built to last.
| Audio | Lossless: beats FLAC in compression ratio, encode speed, and decode speed across all tested material. Lossy levels in active development. | Complete |
| Image | 21×34 golden-rectangle block geometry. Lossless by default. Cross-architecture byte-identical output. Full test coverage 1×1 to 2048×2048. | Complete |
| Video | φCoherent GOP (21 frames), golden-angle spiral motion estimation, φInterpolated sub-pixel compensation. Round-trip deterministic. | Complete |
| Base | Lossless general-purpose codec. Beats zlib on all RPC payload classes. Blockchain-deterministic. ~45% bandwidth reduction on crypto sync traffic. | Complete |
Why codecs are central: They are the sensory pipeline for the AGI architecture. Completion of the audio and video codecs directly enables the full HEAR and SEE perceptual front-end — gating the integrated φAGI deployment.
Pillar II · Cryptography
Post-quantum by construction,
Post-quantum by construction,
not by patch.
0
Algebraic hardness assumptions
No lattice problems. No elliptic curves. No factoring. Security rests on hash collision resistance alone.
φCrypt
Unified cryptographic standard
A single coherent primitive family covering signing, key exchange, and authenticated encryption. Derived, not assembled.
Drop-in
OpenSSL provider
A native φCrypt provider for OpenSSL. Existing applications gain post-quantum cryptography without code changes.
Native
Ecosystem-wide adoption
φQuic · φNet · φRPC · φSQLVFS · φAGI · React Native — every layer of the stack implements φCrypt natively, from transport to storage to identity to mobile.
Quantum Cryptography Validated
Simulation-proven quantum resistance across the full attack surface
Our quantum simulation suite stress-tested φCrypt against every known quantum attack vector.
The strongest hash level achieves 304-bit post-Grover security — NIST Category 5 (equivalent to AES-256 against a quantum adversary).
Quantum Fourier analysis found no exploitable period structure in hash outputs.
A full-scale quantum preimage attack would require ~1 million physical qubits and an estimated 1085 years on the most capable available hardware.
End-to-end quantum key distribution integrated with φCrypt: verified 0% bit error on a clean channel and reliable eavesdropper detection.
Pillar III · Quantum Computing
Error correction
Error correction
that wins where
surface codes fail.
p > 1%
Functional above the surface-code threshold
Surface codes — the industry standard — stop working above ~1% physical error rate. Our N-nacci multi-stratum codes remain operational at 30%, achieving a measured logical error rate of 0.087 with 4 layers and 30,000 Monte Carlo trials. Confidence intervals do not overlap with the single-stratum baseline.
0.002 mHa
VQE chemical accuracy on H₂
Noiseless variational simulation reaches chemical accuracy on molecular hydrogen — 800× inside the accepted threshold. Lithium hydride is solved to 0.034 milliHartree error versus the exact reference. Both benchmark molecules solved exactly by a minimal circuit.
5
Published hardware noise models
IBM Heron R2 · IBM Eagle R3 · Google Willow · IonQ Forte · Quantinuum H2. Published Pauli noise parameters — not real-device measurements.
90
Passing tests, fully reproducible
Every result is snapshot-pinned and reproducible from source in minutes. Includes photonic and time-reversal recovery sweeps. Cross-validated against an independent reference simulator.
94×
Lower logical error rate at matched qubit budget — 2D ensemble result
At 530 physical qubits, a 4-level ensemble achieves 94× lower logical error rate than the best single code fitting the same qubit budget, at typical near-term hardware error rates. Full 2D simulation under realistic noise — no analytical shortcuts. 15,000 trials per configuration.
Exact Time-Reversal Recovery
Fidelity = 1.000 at all tested error angles · PTM Eigenvalue Theorem proved
When an error type is characterized, the framework constructs the exact inverse operation and recovers the original quantum state to machine precision — fidelity = 1.000 at all tested error magnitudes. Without recovery, state fidelity falls to 0.729 at maximum error angle. The underlying phi-weighted channel obeys a proved closed-form theorem: total error contraction depends only on error rate and N-nacci order, independent of how errors distribute across axes. Verified across an 8-point sweep.
Self-Dual Code Locus
Structural symmetry guarantee by construction
A structural symmetry property — equal protection against both classes of quantum error — is guaranteed by construction at every level of the ensemble. Fibonacci parity patterns make this automatic: roughly two-thirds of all N-nacci distances satisfy the requirement without manual tuning. The ensemble also includes an independent symmetry auditor that verifies fundamental physical constraints on any circuit unitary.
Pillar IV · Artificial General Intelligence
φAGI: a mind
φAGI: a mind
derived, not designed.
Sense · Perceive
Feel — somatic awareness
Smell — chemical signal
Taste — gustatory input
Hear — φAudio codec front-end
See — φVisual codec front-end
Fuse — multimodal integration
Think · Cognition
Language — text encoding
Reasoning — logical inference
Memory — episodic store
World Model — environment state
Metacognition — self-monitoring
Theory of Mind
Properties
Zero free parameters
273-byte universal embedding
Post-quantum identity at birth
Signed checkpoints + outputs
GPU-accelerated (CUDA / Metal / Vulkan)
376 tests across all modules
Every weight, every dimension, every constant derives from a single mathematical identity. No empirical tuning. No hyperparameter search. The architecture is not discovered — it is derived.
The Platform · 8 Methods · 10 Designs
Deep IP.
Deep IP.
Built in parallel.
Eight Methods
- φCrypt — unified cryptographic standard
- Signal decomposition framework
- Coherent AI architecture
- Quantum computing framework
- Cellular framework — mathematical substrate for all systems
- Materials hierarchy — composition derived from atomic structure
- Microstructure design
- Impeller fluid dynamics
Four Software Designs
- φCoherent codec family — audio · image · video · base
- φCrypt reference implementation + OpenSSL provider
- Quantum computing stack — 26 packages, 7 functional layers
- Coherent AI models — φAGI sensory + cognitive suite
- Bearings · Gyroscope · Impeller
- Centrifugal pump · Ram pump · Nozzle
License structure: All IP owned by Phi-Coherent Inc. Published under AGPLv3 with commercial licensing available. Revenue flows to Phi-Coherent Inc.
The Opportunity
Four converging markets.
Four converging markets.
One coherent platform.
$450B+
Quantum Computing
Global market by 2035 · Error correction is the critical unsolved bottleneck
$1T+
AI / AGI Infrastructure
Projected by 2032 · Foundation model compute demands coherent, efficient architectures
$15B+
Codec Licensing
Annual TAM · Streaming, broadcast, edge-AI, and satellite demand better compression
$7B+
Post-Quantum Cryptography
By 2030 · NIST PQC transition underway · Hash-based standards gaining mandate
Pre-Seed Raise · Ontario, Canada
$2M – $5M
Use of Funds
1
Research team — 3 to 5 PhD researchers spanning electrical, mechanical, chemical, quantum, and applied mathematics to advance patents and experimental proof
2
Research acceleration — lossy codec completion, full AGI sensory integration, quantum hardware validation partnerships
3
Patent prosecution — full protection of the φCoherent method and design IP portfolio across key jurisdictions
4
Licensing go-to-market — commercial licensing across codec, cryptography, quantum, AI, and hardware verticals
Canadian Government Pathway
NRC-IRAP — Industrial R&D funding eligible
NSERC Alliance — Academic partnership-ready
SR&ED / Ontario ITC — Qualified R&D expenditures
SDTC — Sustainable tech + advanced manufacturing tracks