PairingFinite

Mode-pairing finite key: Xie et al., PRX Quantum 3, 020315 (2022)

6/6 passed in 0ms

Test	What it does	Result
test_chernoff_pair	The two Chernoff directions bracket a count the right way round and are near inverses, the variant interval being the wider at the same count.	✅ pass
test_eps_budget	ANCHOR. eps_sec = 24 eps in the symmetric case, the paper's printed 2.4e-9 at eps = 1e-10.	✅ pass
test_gamma_empty	A test sample showing no errors certifies nothing, the penalty saturating at one half where Xie's transfer differs from Lim's.	✅ pass
test_gamma_shrink	The random-sampling penalty falls as the two certified counts grow and is positive at every finite pair of them.	✅ pass
test_length_converge	CROSS-ENGINE. The length per sifted Z-pair closes from below on pairing_rate at exponent -1.0001 over three decades from 1e8, the gap being the epsilon budget alone.	✅ pass
test_yield_ceiling	The one-sided decoy inversion certifies a positive yield below the single-photon yield it bounds.	✅ pass