small opt to partial trace

[cvsvensson]

No description provided.

[github-actions]

Benchmark Results (Julia v1)

Time benchmarks

	main	b4c764b...	main / b4c764b...
complement/fermions	0.113 ± 0.0052 ms	0.116 ± 0.013 ms	0.974 ± 0.12
complement/product space	0.142 ± 0.033 ms	0.141 ± 0.033 ms	1.01 ± 0.33
embed/fermions	1.15 ± 0.26 ms	1.16 ± 0.32 ms	0.994 ± 0.35
embed/product space	3.84 ± 0.11 ms	3.87 ± 0.094 ms	0.992 ± 0.037
generate_states/big_int	17.6 ± 0.042 ms	16.3 ± 0.13 ms	1.08 ± 0.009
generate_states/int	13.7 ± 0.44 ms	13 ± 0.074 ms	1.05 ± 0.035
hilbert_space	0.14 ± 0.012 ms	0.14 ± 0.013 ms	1 ± 0.13
matrix_representation/bdg	0.863 ± 0.028 ms	0.878 ± 0.035 ms	0.983 ± 0.051
matrix_representation/free_fermion	0.446 ± 0.015 ms	0.447 ± 0.015 ms	0.998 ± 0.048
matrix_representation/product space	0.851 ± 0.017 ms	0.842 ± 0.019 ms	1.01 ± 0.03
matrix_representation/standard	1.79 ± 0.052 ms	1.81 ± 0.065 ms	0.992 ± 0.046
partial_trace/fermions/map	0.0602 ± 0.18 s	0.0389 ± 0.029 s	1.55 ± 4.9
partial_trace/fermions/standard	0.0751 ± 0.0044 ms	0.0934 ± 0.0041 ms	0.803 ± 0.059
partial_trace/product space/map	3.7 ± 0.17 ms	3.7 ± 0.13 ms	1 ± 0.056
partial_trace/product space/standard	3.63 ± 0.14 ms	3.63 ± 0.11 ms	0.999 ± 0.049
partial_trace_algorithms/default=FullAlg/Sparse space/Dense/FullAlg	1.63 ± 0.015 ms	1.75 ± 0.018 ms	0.932 ± 0.012
partial_trace_algorithms/default=FullAlg/Sparse space/Dense/SubAlg	5.68 ± 0.019 ms	5.57 ± 0.014 ms	1.02 ± 0.0043
partial_trace_algorithms/default=FullAlg/Sparse space/Sparse/FullAlg	0.104 ± 0.0061 ms	0.117 ± 0.0064 ms	0.892 ± 0.071
partial_trace_algorithms/default=FullAlg/Sparse space/Sparse/SubAlg	5.79 ± 0.018 ms	5.79 ± 0.069 ms	0.999 ± 0.012
partial_trace_algorithms/default=SubAlg/Full space/Dense/FullAlg	2.36 ± 0.012 ms	3.36 ± 0.025 ms	0.701 ± 0.0063
partial_trace_algorithms/default=SubAlg/Full space/Dense/SubAlg	0.059 ± 0.011 ms	0.0579 ± 0.011 ms	1.02 ± 0.27
partial_trace_algorithms/default=SubAlg/Full space/Sparse/FullAlg	0.0744 ± 0.0038 ms	0.143 ± 0.0065 ms	0.52 ± 0.035
partial_trace_algorithms/default=SubAlg/Full space/Sparse/SubAlg	0.0816 ± 0.013 ms	0.0815 ± 0.012 ms	1 ± 0.22
symbolic/deep_product	1.22 ± 0.036 ms	1.21 ± 0.046 ms	1.01 ± 0.049
symbolic/sum	0.2 ± 0.012 ms	0.202 ± 0.012 ms	0.989 ± 0.084
symbolic/sum_square	1.94 ± 0.072 ms	1.94 ± 0.071 ms	0.996 ± 0.052
time_to_load	0.774 ± 0.0057 s	0.775 ± 0.0019 s	0.999 ± 0.0078

Memory benchmarks

	main	b4c764b...	main / b4c764b...
complement/fermions	0.877 k allocs: 0.0835 MB	0.877 k allocs: 0.0835 MB	1
complement/product space	2.66 k allocs: 0.107 MB	2.66 k allocs: 0.107 MB	1
embed/fermions	0.255 k allocs: 3.39 MB	0.255 k allocs: 3.39 MB	1
embed/product space	0.0442 M allocs: 1.68 MB	0.0442 M allocs: 1.68 MB	1
generate_states/big_int	5.47 k allocs: 0.312 MB	5.47 k allocs: 0.312 MB	1
generate_states/int	4.69 k allocs: 0.283 MB	4.69 k allocs: 0.283 MB	1
hilbert_space	0.149 k allocs: 0.396 MB	0.149 k allocs: 0.396 MB	1
matrix_representation/bdg	0.249 k allocs: 2.33 MB	0.249 k allocs: 2.33 MB	1
matrix_representation/free_fermion	22 allocs: 0.451 MB	22 allocs: 0.451 MB	1
matrix_representation/product space	0.0326 M allocs: 1.81 MB	0.0326 M allocs: 1.81 MB	1
matrix_representation/standard	0.169 k allocs: 3.49 MB	0.169 k allocs: 3.49 MB	1
partial_trace/fermions/map	0.286 k allocs: 0.253 GB	0.286 k allocs: 0.253 GB	1
partial_trace/fermions/standard	0.221 k allocs: 0.232 MB	0.221 k allocs: 0.232 MB	1
partial_trace/product space/map	0.0439 M allocs: 1.75 MB	0.0439 M allocs: 1.75 MB	1
partial_trace/product space/standard	0.0438 M allocs: 1.66 MB	0.0438 M allocs: 1.66 MB	1
partial_trace_algorithms/default=FullAlg/Sparse space/Dense/FullAlg	2.39 k allocs: 0.215 MB	2.39 k allocs: 0.215 MB	1
partial_trace_algorithms/default=FullAlg/Sparse space/Dense/SubAlg	2.39 k allocs: 0.205 MB	2.39 k allocs: 0.205 MB	1
partial_trace_algorithms/default=FullAlg/Sparse space/Sparse/FullAlg	2.4 k allocs: 0.272 MB	2.4 k allocs: 0.272 MB	1
partial_trace_algorithms/default=FullAlg/Sparse space/Sparse/SubAlg	2.39 k allocs: 0.205 MB	2.39 k allocs: 0.205 MB	1
partial_trace_algorithms/default=SubAlg/Full space/Dense/FullAlg	0.728 k allocs: 0.0631 MB	0.728 k allocs: 0.0631 MB	1
partial_trace_algorithms/default=SubAlg/Full space/Dense/SubAlg	0.725 k allocs: 0.0396 MB	0.725 k allocs: 0.0396 MB	1
partial_trace_algorithms/default=SubAlg/Full space/Sparse/FullAlg	0.739 k allocs: 0.384 MB	0.739 k allocs: 0.384 MB	1
partial_trace_algorithms/default=SubAlg/Full space/Sparse/SubAlg	0.727 k allocs: 0.0397 MB	0.727 k allocs: 0.0397 MB	1
symbolic/deep_product	0.0415 M allocs: 3 MB	0.0415 M allocs: 3 MB	1
symbolic/sum	4.18 k allocs: 0.638 MB	4.18 k allocs: 0.638 MB	1
symbolic/sum_square	0.0446 M allocs: 3.87 MB	0.0446 M allocs: 3.87 MB	1
time_to_load	0.145 k allocs: 11 kB	0.145 k allocs: 11 kB	1