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EngineeringROI AnalysisJanuary 12, 20268 min read

How Sample Efficiency Changes the Cost Model of Quantum Experiments

As quantum hardware time remains a premium resource, the metric for success is shifting from "raw qubits" to "resource efficiency."

SoftQuantus

E × P

Cost model

Evaluations per optimisation × price per evaluation

24

Simulator ceiling

Qubits, CPU state-vector simulation through QCOS

SHA-256

Evidence per run

Merkle-sealed record, verified offline

0

Benchmark figures cited

Our GHZ-6 result was withdrawn in August 2026

The Efficiency Revolution

Fewer evaluations means fewer circuit executions to pay for, so the evaluation count of an optimiser is a cost figure, not only a technical one. This article sets out the cost model. It cites no benchmark figure: our GHZ-6 result was withdrawn in August 2026 because its setup favoured the optimiser.

The Cost Challenge

Cloud-based quantum computing operates on a pay-per-use model where every circuit execution costs money. For enterprises exploring quantum solutions, the mathematics is straightforward:

Illustrative formula, not a measured result

cost per optimization = evaluations × price per evaluation

Use your own backend price and your own measured evaluation counts. No price on this page comes from a customer or a provider quote.

At a fixed price, halving the evaluations halves the cost of an optimisation. What a given optimiser saves you depends on your circuit, your backend and your price per evaluation, so measure it on your own workload.

Key Findings

1

Cost Reduction

Fewer evaluations means fewer circuit executions to pay for on a pay-per-use backend. The saving depends on your workload and your price.

2

Energy Use

Less compute time can mean less energy used per experiment.

3

Increased Throughput

Fewer evaluations per experiment leaves room for more experiments in the same time window.

4

No Benchmark Figure Today

We withdrew our GHZ-6 optimiser benchmark in August 2026 because its setup favoured the optimiser. Measure evaluation counts on your own workload before budgeting.

European Market Context

Fewer evaluations per experiment matter for two things that European teams care about:

Lower Energy Use

Less compute time can mean less energy used per experiment.

Cost Control

Fewer evaluations per experiment means fewer executions to pay for on a pay-per-use backend. The saving depends on your workload and your price.

How to Compare Optimisers Fairly

Start every run from random parameters, vary the order in which parameters are tuned, and count failed runs against the method. Our GHZ-6 benchmark started near the answer in a fixed order, so we withdrew it on 25 August 2026. The techniques inside the Autopilot are not described on this page.

Practical Takeaways

For CFOs

View sample efficiency as a lever for ROI, not just a technical benchmark. Fewer evaluations means fewer billed executions; measure the saving on your own workload before budgeting.

For Developers

Use QCOS to develop and tune circuits on a CPU state-vector simulator (up to 24 qubits) before spending time on a real backend. Efficiency leaves room for more experiments.

References

Ready to maximize your quantum ROI?

See what we publish, how each result is recorded, and why our optimiser benchmark was withdrawn.