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

Abstract

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.

6 pages, 3 figures

Cited by in corpus (4)

• QVECTOR: an algorithm for device-tailored quantum error correction
• Twirling and Hamiltonian Engineering via Dynamical Decoupling for GKP Quantum Computing
• Quantum Error Correction with the GKP Code and Concatenation with Stabilizer Codes
• Quantum error correction with the color-Gottesman-Kitaev-Preskill code