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B92Tolerance ​

The shared rate equation and the bit error rate it tolerates

4/4 passed in 380ms

TestWhat it doesResult
test_rate_formThe rate is p_fil*(1 - h2(e_ph) - f_ec*h2(e_bit)) clamped at zero, with f_ec = 1 the published form at the Shannon limit.✅ pass
test_reconciliationCharging error correction above the Shannon limit lowers the tolerable depolarising rate, so the published thresholds are the f_ec = 1 column.✅ pass
test_shor_preskillAt equal bit and phase error rates and Shannon-limit reconciliation the tolerable error is the Shor-Preskill 11.00%.✅ pass
test_tolerance_fallsThe tolerable bit error rate falls as the phase bound rises and is the root of 1 - h2(e_ph) - f_ec*h2(e) = 0.✅ pass