Prime Harmonics for Real Quantum Hardware

Validated through simulations and confirmed on IBM Quantum and IonQ hardware via Amazon Braket.

Prime Harmonics provides structure without predictability.

Phase-based modulation demonstrates lower QBER than baseline implementations with reproducible results.

Try Our API Live

Generate a prime-basis QKD key using the patent-aligned API. Replace YOUR_KEY with your API key.

Terminal
curl -X POST "https://qbitshield-api.railway.app/api/qkd/v1/generate" \
  -H "X-API-Key: YOUR_KEY" \
  -H "Content-Type: application/json" \
  -d '{
    "primes": [2, 3, 5, 7],
    "times":  [0.1, 0.2, 0.3, 0.4],
    "bases":  ["Z", "X", "Z", "X"]
  }'

# Response:
# {
#   "session_id":      "7b31afe9b26e...",
#   "final_key":       "54de1c58f816...",
#   "prime_signature": [2, 3, 5, 7],
#   "metadata": { "patent_ref": "NPA-N417-2025" }
# }

Platform Features

Includes encrypted object storage, HSM integration, audit logging, and key provenance controls.

Prime-Based Quantum Key Distribution

Supports configurable multi-basis operation beyond standard BB84 protocol, enabling higher entropy and eavesdropping resistance. Includes error correction and privacy amplification, verified through multiple quantum frameworks.

Prime-Based Quantum Fourier Transform

Demonstrates prime-modulated transforms on small qubit systems. Transform accuracy measured through unitary fidelity tests, with all compiled circuits exportable for inspection and benchmarking.

Symbolic Quantum Compiler

Optimizes qubit placement and gate scheduling to minimize crosstalk and timing interference, adapting to device calibration data. Optimized circuits available for export and external validation.

The Science Behind QbitShield

Prime Harmonic Modulation is a proprietary framework for quantum state preparation that replaces the standard Hadamard basis with prime-indexed phase rotations.

Core Protocol

PB-QKD State Equation

|ψ_p⟩ = (1/√2)(|0⟩ + eiπ/p|1⟩)

Each qubit is prepared using a prime-indexed phase rotation — a structurally distinct quantum state for every prime in the sequence. The resulting key material is deterministic for the authorized party and computationally irreversible for any observer without the prime basis.

Hardware Validation

IBM Quantum — ibm_fez

Mutual Information6.3× better
Effective Channel Info12.7× better
Hardware Jobs9 × DONE (Heron QPU)

Real quantum hardware results, November 2025. PHM circuits validated across 2–4 qubit configurations at 600 QU per job on the ibm_fez Heron processor.

Statistical Validation

NIST SP 800-22

Frequency
Block Freq
Runs
Longest Run
Matrix Rank
DFT
Non-OL Template
OL Template
Universal
Linear Complexity
Serial
Approx Entropy
Cumulative Sums
Rand Excursions
Rand Excurs Var

Statistical tests run in real-time against live key material using genuine scipy-based implementations. Ongoing validation against NIST SP 800-22 randomness standards.

Intellectual Property

Patent NPA-N417

Prime-basis quantum key distribution (PB-QKD)
Prime Harmonic Modulation (PHM) state preparation
Post-quantum key derivation & verification

Non-provisional application filed July 26, 2025. Additional proprietary methods protected under trade secret. Research origin dates to 2017.

Why Prime Numbers?

Primes are the atoms of arithmetic — irreducible, non-periodic, and distributed without a discoverable pattern. When used as phase indices in quantum circuits, they create measurement bases that cannot be predicted from one another. An eavesdropper measuring in the wrong basis collapses the state in a detectable way, making prime-basis QKD inherently self-authenticating. The distribution of primes also provides a natural, hardware-independent entropy source that scales with key length without relying on pseudo-random seeding.

Ready for Quantum-Safe Security?

Contact our team to discuss quantum-safe deployment options for your enterprise.

PQC
ML-KEM / ML-DSA
SP 800-22
Internal tests passed
Roadmap
90B → FIPS 140-3
Pilots
Banks • Health • Gov labs

For evaluation and development only. Not a substitute for certified cryptographic modules in production. Planned certifications include NIST SP 800-90B validation for entropy sources and FIPS 140-3 for cryptographic modules.

FAQ