Subatomic Computing

Hamiltonian-driven microstate discovery.

Proprietary computational datasets and models for material systems where conventional approaches are too slow, too shallow, or commercially inadequate.

IQ Intel Quantum Web Viewer showing lithiation through an H1-H2 transition seam fragment.
What IQ Intel provides

Proprietary computational outputs, engineered for organizations that cannot afford to wait.

IQ Intel produces proprietary datasets and models for problems where conventional approaches are too slow, too shallow, or commercially inadequate. We engage selectively where the value of non-public technical output is high and the use case is clear.

Gate-model quantum computing remains powerful for probabilistic computation. Subatomic Computing is built for deterministic, Hamiltonian-guided state exploration — discovering how structured physical systems move through state space.

Methodology

From compact QASM templates to emergent microstate trajectories.

IQ Intel starts with your material stack and the defects you care about. Together we derive the Hamiltonian, encode it in OpenQASM 2, and use our QASM extensions to evolve connected microstates. Post-processing stitches them into the full connected charge/discharge cycles we call seams, covering the full phase space the Hamiltonian defines.

01

Compact circuit seed

Starts from a QASM template or a small related circuit family, not a manually enumerated circuit for every target state.

02

Hamiltonian-guided emergence

Evolves the encoded system through physical variants to reveal reachable microstates and transition structure.

03

Trajectory-level output

Connects microstates into charge / discharge cycles, binding pathways, phase transitions, and movie-style visualizations.

Core advantage

IQ Intel is strongest where the objective is molecular and materials behavior: discovering how structured physical systems move through deterministic, Hamiltonian-governed state space.

From the battery track

What the data reveals.

A single material across its operating range moves through qualitatively distinct regimes. The SaC architecture surfaces that structure directly — not as inference from macroscopic measurement, but as the connected microstate evolution the system actually traverses.

Five-regime heatmap Five qualitatively distinct regimes across an NMC-relevant operating range, visualized as a horizontal sequence from high-Li ordered state through vacancy-dominated state to high-delithiation instability.

Sanitized overview from current battery-track work. Observables shown qualitatively; transition-resolved data reserved for client engagements.

Observables

What is measured per microstate.

Each microstate along a trajectory is resolved against 19 measures — the quantities we report for every state, grouped by what they describe about the system.

Spatially-resolved measurements

Computational-basis bitstring

Per-site Z-basis occupation across the lattice; full spatial resolution.

X-basis bitstring

Per-site transverse-X projection; full spatial resolution.

Y-basis bitstring

Per-site transverse-Y projection; full spatial resolution.

Density snapshot ⟨ni

Per-site density field.

Global order parameters

Magnetization ⟨σz

Mean longitudinal magnetization across the lattice.

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

Ordering strength

Scalar measure of antiferromagnetic-order quality; complementary to the signed staggered magnetization.

Transverse magnetization ⟨σx⟩, ⟨σy

Mean X and Y spin components.

Bloch-vector magnitude |⟨σ⟩|

√(⟨σx⟩² + ⟨σy⟩² + ⟨σz⟩²).

Mean phase field ⟨φ⟩

Scalar mean and per-site spatial map of the phase field.

Mean |φ|

Absolute mean of the phase field; robust to phase-symmetry cancellations that average the signed mean to zero.

Correlations and structure

Two-point correlator

Radial correlation function ⟨σizσjzc by site separation.

Correlation length ξ

Decay length of the two-point correlator above, in lattice sites.

Density variance

⟨n²⟩ − ⟨n⟩². Compressibility proxy and fluctuation amplitude.

Spin-lattice order diagnostic

Computed from the three Pauli-basis bitstrings. Higher values indicate domain-like ordering and less mixed readout.

Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites and nm.

Domain fraction

Connected-cluster occupation fraction.

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

Effective occupancy fraction

Application-calibrated site-occupancy estimate (e.g. Li fraction on cathode tracks), derived from the Z-basis bitstring and cross-checked against the phase field.

Conventional methods report a handful of observables at equilibrium, or one trajectory at a time. NMC811-IQ reports up to 19 measures per microstate, across connected trajectories.

Priority sectors

Where Subatomic Computing applies.

Open a sector to read how Subatomic Computing applies, or contact us about that sector directly.

Energy storage

Battery materials, charge-state behavior, regime mapping, and performance-window analysis.

Solar

Materials behavior, performance-region analysis, and structured datasets for design and optimization decisions.

Rx

Pharmaceutical

High-value computational outputs for molecule, materials, and process questions where non-public data materially matters.

Advanced materials

Property landscape exploration, regime identification, and structured dataset generation for R&D decisions.

Aerospace and defense

Restricted, high-value technical engagements where confidentiality and decision advantage matter.

AI

Model development

Specialized training and evaluation datasets where ground truth is otherwise costly, slow, or unavailable.

Editorial

Findings and working notes.

Two series. Signals tracks the battery track and broader methodology. Working Notes tracks magnetic-state evolution as it unfolds.

Working notes: magnetic state evolution

Methodology and findings from the magnet track, posted as work proceeds.

View all Working Notes →
Confidential contact

Let's discuss what IQ Intel can do for you.

Public detail is intentionally limited. If your organization has a defined technical objective and the ability to act on proprietary outputs, use the form.

Preferred counterparties

U.S.-based industrial, strategic, or research organizations.

Public detail level

Limited by design. Method-level discussion generally follows fit review.

Response profile

Selective. Sector relevance, seriousness, and a concrete use case matter.

Request a discussion

Provide enough context to assess sector relevance, intended use, and organizational fit.