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Repeaterless ​

Every family whose observables are derived sits under the PLOB capacity

6/6 passed in 351ms

TestWhat it doesResult
test_capacity_formThe capacity goes through log1p, not -log2(1 - eta), which reads 8.3e-8 off at 100 dB, 11.0% high at 160 dB and 0.0 at 176 dB.✅ pass
test_families_boundedTen families at optimal intensity, dark-free, aligned and at the Shannon limit, stay under the repeaterless capacity for eta = 0.9 to 1e-4, worst 0.677 at Gaussian modulation.✅ pass
test_gaussian_halvesAn ideal reverse-reconciled homodyne link at zero excess noise reaches half the repeaterless capacity to 1e-10 once the 1/V_A deficit is extrapolated out by (10 K(1e8) - K(1e7))/9.✅ pass
test_heterodyne_bandHeterodyne sits between half the repeaterless capacity and the capacity, its ratio falling from 0.50084 at eta = 1e-2 to 0.5000008 at 1e-5, the excess tenfold per decade.✅ pass
test_relay_boundedNeither cvmdi_rate nor cvmdi_point reaches the repeaterless capacity of its arms in the 4518 of 40000 random configurations the engine accepts, closest approach 0.41: cvmdi_point's above-capacity claim is unreproduced.✅ pass
test_vacuum_boundedCOW' with a derived phase error peaks at 3.41e-4 of the repeaterless capacity from 0 to 80 km.✅ pass