↗VFQECVIRTUAL-FIELD QEC

A REPRODUCIBLE QUANTUM EXPERIMENT

Learn the error.
Keep the memory.

A controller learns to quiet hidden quantum errors using only syndrome measurements. Explore the real experiment, one correction at a time.

BlueQubit CPU coherent simulation
Noise, syndrome measurement & recovery run locally.

THREE QUBITS. ONE LOGICAL MEMORY.E1 / Z MEMORY
QUBIT 01 QUBIT 02 QUBIT 03
Hidden rotationLearned compensation

Conceptual illustration · inspect the measured data below

—fewer observed final failuresLearned field vs. standard QEC
—completed cloud jobsBlueQubit CPU · October 1, 2026
—error-correction rounds4,000 readouts per method

01 / EXPERIMENT EXPLORER

Watch the correction take shape.

RECORDED REPLAY · SEED 1729
Loading the verified experiment…
LEARN FROM SYNDROMES

Calibration replay

Move through the first calibration. Each point is a measured SPSA candidate, using 4,000 fresh probe shots.

MEASURED SYNDROME FIRING—
Step — / 50
Before learning50 SPSA steps
Candidate correction θradians
DEPLOYED θ · AVERAGED SPSA—

Deployment uses the averaged correction from the second half of SPSA. The replay shows individual candidates.

COMPARE SIX METHODS

A more stable logical memory

OBSERVED FAILURE %

All six curves are drawn; the unencoded curve extends above the encoded-detail view.

STANDARD QEC——
LEARNED FIELD——
ORACLE——
All six methods at this round
MethodFailuresError95% interval
i

One seed, one noise model. The 11× comparison describes the final observed counts, not a guaranteed improvement. Round readouts share simulated trajectories; uncertainty intervals are per point. No hardware performance or fault-tolerant threshold is claimed.

02 / THE IDEA

A feedback loop with a narrow view.

The optimizer sees syndromes.
The hidden field stays hidden.

01

Measure the disturbance.

Hidden rotations disturb a three-qubit memory. Stabilizer measurements provide a signal without supplying the logical state to the optimizer.

Rₓ(εᵢ) → syndrome statistics
02

Learn a virtual field.

SPSA adjusts per-qubit correction angles to lower the finite-shot syndrome cost. True noise parameters and logical readouts are excluded from its interface.

θ ← measured feedback
03

Compensate each round.

Apply the learned inverse rotations alongside QEC recovery. Compare the observed logical failures against the baselines and oracle.

Rₓ(εᵢ) Rₓ(−θᵢ) ≈ I

03 / OPEN EVIDENCE

Nothing behind the curtain.

The code, observations, provider job IDs, and report are public. Run the same experiment with your own environment.

View the repository ↗
REPRODUCE E1

Local simulation runs without an API key.

vfqec run E1 --backend local