data/photon_frontiers.csv

modes,messages,logical_bits,storage_cutoff,symmetric_cutoff,storage_mean_photons,symmetric_mean_photons,cutoff_ratio
1,1,0.0,0,0,0.0,0.0,undefined
1,2,1.0,1,1,0.5,0.5,1.0
1,3,1.584962500721156,2,impossible,1.0,impossible,undefined
1,4,2.0,3,impossible,1.5,impossible,undefined
1,6,2.584962500721156,5,impossible,2.5,impossible,undefined
1,8,3.0,7,impossible,3.5,impossible,undefined
1,16,4.0,15,impossible,7.5,impossible,undefined
1,64,6.0,63,impossible,31.5,impossible,undefined
1,256,8.0,255,impossible,127.5,impossible,undefined
1,4096,12.0,4095,impossible,2047.5,impossible,undefined
1,1048576,20.0,1048575,impossible,524287.5,impossible,undefined
2,1,0.0,0,0,0.0,0.0,undefined
2,2,1.0,1,1,0.5,0.5,1.0
2,3,1.584962500721156,1,1,0.6666666666666666,0.6666666666666666,1.0
2,4,2.0,2,2,1.0,1.5,1.0
2,6,2.584962500721156,2,4,1.3333333333333333,3.3333333333333335,2.0
2,8,3.0,3,6,1.75,5.25,2.0
2,16,4.0,5,14,2.8125,13.125,2.8
2,64,6.0,10,62,6.5625,61.03125,6.2
2,256,8.0,22,254,14.09375,253.0078125,11.545454545454545
2,4096,12.0,90,4094,59.3408203125,4093.00048828125,45.48888888888889
2,1048576,20.0,1447,1048574,964.4366722106934,1048573.0000019073,724.6537664132688
3,1,0.0,0,0,0.0,0.0,undefined
3,2,1.0,1,1,0.5,0.5,1.0
3,3,1.584962500721156,1,1,0.6666666666666666,0.6666666666666666,1.0
3,4,2.0,1,1,0.75,0.75,1.0
3,6,2.584962500721156,2,2,1.1666666666666667,1.6666666666666667,1.0
3,8,3.0,2,3,1.375,2.625,1.5
3,16,4.0,3,4,2.0625,3.75,1.3333333333333333
3,64,6.0,6,10,4.03125,9.84375,1.6666666666666667
3,256,8.0,10,22,7.20703125,21.9140625,2.2
3,4096,12.0,28,89,20.318115234375,88.978271484375,3.1785714285714284
3,1048576,20.0,183,1447,136.9592456817627,1446.9986200332642,7.907103825136612
6,1,0.0,0,0,0.0,0.0,undefined
6,2,1.0,1,1,0.5,0.5,1.0
6,3,1.584962500721156,1,1,0.6666666666666666,0.6666666666666666,1.0
6,4,2.0,1,1,0.75,0.75,1.0
6,6,2.584962500721156,1,1,0.8333333333333334,0.8333333333333334,1.0
6,8,3.0,2,2,1.0,1.75,1.0
6,16,4.0,2,2,1.5,1.875,1.0
6,64,6.0,3,4,2.4375,3.9375,1.3333333333333333
6,256,8.0,5,6,3.7109375,5.9765625,1.2
6,4096,12.0,9,11,7.428955078125,10.997314453125,1.2222222222222223
6,1048576,20.0,27,39,22.925857543945312,38.99996280670166,1.4444444444444444