Quantum outage probability for time-varying quantum channels

Recent experimental studies have shown that the relaxation time ${T}_{1}$ and dephasing ${T}_{2}$ of superconducting qubits fluctuate considerably over time. Time-varying quantum channel (TVQC) models been proposed in order to consider time-varying nature parameters define qubit decoherence. This dynamic channels causes a degradation performance error correction codes (QECCs) is portrayed as flattening their rate curves. In this article we introduce concepts outage probability hashing asymptotically achievable rates by QECC with ${R}_{Q}$ operating TVQC. We derive closed-form expressions for family amplitude damping study behavior different scenarios. quantify impact variation function relative around its mean. conclude QECCs limited many cases inherent fluctuations decoherence corroborate parameter stability crucial maintain excellent observed static channels.