qvoting 0.1.3

Quantum voting circuits with integrated error mitigation for NISQ hardware

QVoting — Quantum Voting Framework

Quantum voting circuits with integrated readout error mitigation and ZNE for NISQ hardware.

Validated on IBM Quantum hardware (ibm_torino Eagle-r3 and ibm_fez Heron-r1). Bell state fidelity: 97.27% on ibm_torino, 93.65% on ibm_fez.

pip install qvoting

For IBM Quantum hardware execution:

pip install qvoting[ibm]

---

Quick Start

from qvoting.voters import majority_voter
from qvoting.mitigation import apply_readout_mitigation
from qvoting.core import execute_circuit

# Build a 3-input majority voter
voter = majority_voter(num_inputs=3)
print(voter.draw())

# Run on local Aer simulator
counts = execute_circuit(voter, backend="aer", shots=1024)
print(counts)  # {'1': 1024}  (all inputs |1> -> majority = |1>)

# Apply readout error mitigation
counts_mitigated = apply_readout_mitigation(counts, calibration_counts={'0': 50, '1': 974})

---

Package Structure

qvoting/
+-- core/
|   +-- circuits.py       <- Parity sub-circuits & multi-circuit load balancer
|   +-- execution.py      <- Unified backend (Aer simulator + IBM Quantum)
|   +-- logging.py        <- JobLogger for persistent IBM job tracking
+-- voters/
|   +-- majority.py       <- Toffoli majority voters (3 and 5 inputs)
|   +-- hierarchical.py   <- Hierarchical voter (9->3->1, 13 qubits)
+-- mitigation/
    +-- readout.py        <- Confusion matrix readout error mitigation
    +-- zne.py            <- Zero-Noise Extrapolation via gate folding

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Features

• Quantum majority voters - 3-input and 5-input Toffoli-based circuits
• Hierarchical voting - 9->3->1 reduction (13 qubits total)
• Quantum load balancer - parity sub-circuit distributes depth across sub-circuits O(n/k)
• Readout error mitigation - confusion matrix inversion (M tensor-n approximation)
• Zero-Noise Extrapolation - gate folding with linear regression intercept
• Unified execution - same API for Aer simulator and IBM Quantum hardware

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Hardware Benchmark Results

Backend	Bell Fidelity	TVD	Device
ibm_torino	97.27%	0.0557	Eagle-r3 (133q)
ibm_fez	93.65%	0.0918	Heron-r1 (156q)
Improvement	+3.87 pp	-39.3%	-

GHZ 3-qubit state on ibm_torino (2048 shots): TVD = 0.062, spurious states < 5%.

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Module Status

Module	Implemented	Tests
core.circuits	Yes	5/5
core.execution	Yes	-
core.logging	Yes	-
voters.majority	Yes	6/6
voters.hierarchical	Yes	-
mitigation.readout	Yes	4/4
mitigation.zne	Yes	-
Total	15 tests	15/15

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Citation

If you use QVoting in your research, please cite:

@article{qvoting2026,
  title   = {Quantum Voting Circuits with Integrated Error Mitigation on NISQ Hardware},
  author  = {Corredor Guasca, Nicolas Yesid},
  year    = {2026},
  journal = {[under review]},
  url     = {https://arxiv.org/abs/[TODO]}
}

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License

MIT - see LICENSE.