QUANTUM ARCHITECTURE RESEARCH • 105-QUBIT MODULAR SYSTEM

HexaCore: Modular Quantum Processor Architecture

A falsification-driven study of modular superconducting connectivity, compiler co-design, and the hardware requirements needed to compete with a monolithic processor topology.
105 Qubits Evaluated
166 Total Coupling Edges
43,680 Verified Routed Replays
35–40% Lower Weighted Intermodule Traffic
The strongest result of this work is not a claim of processor superiority. A favorable static topology result failed under routed compilation. The surviving result is narrower: architecture and placement jointly control intermodule traffic, and the remaining hardware requirements can now be stated explicitly and tested.

The Research Question

Large superconducting quantum processors face a difficult tradeoff: additional connectivity can reduce routing overhead, but every physical coupling also carries fabrication, calibration, control and crosstalk cost.

Can a degree-limited modular processor use fewer physical couplings while preserving enough effective connectivity to remain competitive after real circuit routing?

HexaCore was created to test that question rather than assume the answer. The architecture was evaluated first with static graph metrics and then subjected to progressively stronger tests including routed compilation, workload analysis, intermodule-traffic reconstruction, authenticated control comparison, error-cost modeling and duration-aware scheduling.

Architecture Under Evaluation

The reference HexaCore family contains seven 15-qubit modules: one central module and six peripheral modules. Local modules use regular nearest-neighbor connectivity while a fixed set of intermodule links connects the system.

7 × 15 Modular organization
154 Intramodule couplings
12 Intermodule links
≤ 4 Maximum qubit degree

The intermodule-link budget is fixed at design time and can be distributed among different module-to-module connection classes. The study explored the resulting design space while preserving qubit count, coupling budget and degree constraints.

Selected public disclosure Exact endpoint assignments, topology-construction rules, candidate-search procedures and additional architecture variants are intentionally not disclosed on this page.

What Stronger Testing Found

Early static analysis produced an encouraging result. Stronger routed compilation subsequently reversed that conclusion.

Static Screen
0.879×

Selected HexaCore configurations showed lower static routing pressure than the Willow-derived reference in a large matched screen.

Routed Compilation
+11.9–14.0%

More routed two-qubit operations than the authenticated Willow105 coupling graph under the stronger compiler comparison.

Two-Qubit Depth
+10.4–18.3%

Greater routed two-qubit depth across the tested HexaCore allocation profiles.

This falsified the simple hypothesis that the modular topology was intrinsically more routing-efficient than the denser Willow reference. The adverse result was preserved and became the basis for the next phase of the investigation.

What Survived the Falsification

The investigation identified a narrower but reproducible architectural effect: the placement strategy strongly determines how often routed two-qubit operations must cross module boundaries.

Compiler and architecture cannot be treated independently. Under locality-aware placement, weighted intermodule traffic was approximately 10.2–12.3% of routed two-qubit operations, compared with 17.1–19.9% under unrestricted routing — a reduction of roughly 35–40%.

This matters because intermodule operations are likely to be among the most expensive operations in a physically modular processor. The surviving HexaCore claim is therefore not that modular topology is universally faster. It is that link allocation and workload placement jointly control the traffic placed on the costly part of a modular system.

From Architecture Claim to Hardware Requirements

After the routed penalty was established, verified circuit reconstructions were used to ask a different question: what physical device characteristics would be required for the modular architecture to recover that disadvantage?

≈ 37% Relative local-gate improvement

In the current error-cost model, when an intermodule operation is twice as error-prone as a local operation, local two-qubit error must be about 37% below the reference to obtain 90% strict proxy-parity coverage.

≈ 30–33 ns Local two-qubit operation

Faster local operations are required to compensate for the additional routing operations introduced by the modular topology.

≈ 45 ns Intermodule operation

Approximately 45 ns remains an interesting modeled region. Longer link durations progressively reduce workload coverage.

2–4 Concurrent intermodule operations

Link concurrency emerged as a load-bearing requirement. Serializing intermodule operations substantially reduced modeled runtime coverage.

Important evidence boundary These are modeled feasibility requirements, not measured HexaCore hardware performance. No HexaCore processor has been fabricated, and this work does not demonstrate hardware superiority, fabrication yield, economic advantage or fault-tolerant performance.

Evidence Status

Each conclusion is kept at the level supported by the current evidence.

Claim Status
Static routing-pressure advantage for selected configurations Observed
Routed superiority over the Willow105-derived control Not observed
Placement materially controls intermodule traffic Observed
Link allocation materially changes routing behavior Observed
Competitive physical operating region Modeled / conditional
Hardware performance advantage Not demonstrated
Fabrication, yield or cost advantage Not demonstrated

Where Device Expertise Becomes Essential

The computational work has reduced the remaining questions to device, interconnect, packaging and control engineering. These are no longer questions that graph simulation alone can answer.

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Local Gate Quality

Can a tiled device on a common process achieve materially better local two-qubit performance than a comparable larger monolithic implementation under the same measurement conditions?

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Intermodule Links

What gate duration and error are realistically achievable across module boundaries after packaging, routing and calibration effects are included?

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Concurrency & Control

Can multiple intermodule operations execute concurrently without unacceptable crosstalk, frequency conflicts or control-system limitations?

Research Approach

HexaCore is being developed under an evidence-first process in which unfavorable results are retained rather than optimized away. The study progressed through static screening, routed compilation, workload-validity analysis, telemetry reconstruction, authenticated control verification, error sensitivity and exact duration-aware scheduling.

One of the principal findings of the program is methodological: attractive graph metrics are insufficient evidence for a processor architecture. Placement policy, routed compilation, workload structure, physical link cost and scheduling constraints must be evaluated together.

Public technical report in preparation A formal report documenting the falsification sequence, selected results, evidence boundaries and methodological lessons is being prepared for permanent public archival. Proprietary implementation details are outside the scope of that report.

Intellectual Property & Technical Collaboration

Elements of the HexaCore architecture family and associated evaluation methods are the subject of pending intellectual-property filings. This page presents selected research findings and does not disclose all architecture, implementation, optimization or validation details.

Quantum Clarity welcomes confidential technical discussions with superconducting-device, quantum packaging, interconnect, compiler and systems researchers interested in independently assessing the remaining feasibility questions.

Non-public technical material Additional architecture and validation material may be shared with qualified prospective collaborators under appropriate confidentiality arrangements.

Interested in Evaluating HexaCore?

The current research has reached the point where device-level measurements and manufacturing constraints are more valuable than another graph-level simulation. We welcome discussions with teams working on superconducting qubits, modular interconnects, advanced packaging and quantum compilation.