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A dynamical interpretation of the Pauli Twirling Approximation and Quantum Error Correction

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arxiv 1701.03708 v2 pith:AGHFBQFI submitted 2017-01-13 quant-ph

classification quant-ph
keywords quantumapproximationerrorcircuitspauliqubitstwirlingaction
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One of simplest and most widely used error model in working with quantum circuits is the Pauli Twirling Approximation (PTA). Restricting ourselves to analysis of free dynamics of qubits we show explicitly how application of PTA is equivalent to ignoring most of the quantum back action of the system and give a general argument as to why this approximation leads to low logical error rates in fault tolerant stabilizer circuits as compared to other quantum channels. We provide numerical evidence that PTA's performance in modeling noise gets worse as number of qubits increase.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 6 citations worldwide. Full citation record

  1. Plaquette: A hardware-aware design platform for fault-tolerant quantum computers

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Plaquette compiles realistic quantum hardware noise models into multiple sampler representations, showing that Pauli-twirled approximations can misestimate logical error rates by an order of magnitude compared to leak...

  2. Quantum Internet in a Nutshell -- Advancing Quantum Communication with Ion Traps

    quant-ph 2025-07 conditional novelty 6.0 of 10

    A trapped-ion quantum computer emulates BB84 and BBM92 with cloning and side-channel attacks, and simulated small QEC codes can suppress channel noise and fingerprint the noise channel.

  3. Limitations of Error Model Approximations in Quantum Network Simulation

    quant-ph 2026-07 unverdicted novelty 5.0 of 10

    Simplified error models such as Pauli twirling lead to severe discrepancies, including under/over-estimation, measurement dependencies, and fidelity oscillations, in iterative quantum network protocols.

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