diff --git a/performance/qbit_scaling_graph.csv b/performance/qbit_scaling_graph.csv
new file mode 100644
index 0000000..cc17c29
--- /dev/null
+++ b/performance/qbit_scaling_graph.csv
@@ -0,0 +1,12 @@
+4.000000000000000000e+00 5.000000000000000000e+01 3.239394599904698983e-04 5.238557291679325816e-06
+5.000000000000000000e+00 5.000000000000000000e+01 3.282311160091921161e-04 5.206791716134118221e-06
+6.000000000000000000e+00 5.000000000000000000e+01 3.393389966580192532e-04 7.210579399522504517e-06
+7.000000000000000000e+00 5.000000000000000000e+01 3.485334800006967878e-04 6.133372307934436616e-06
+8.000000000000000000e+00 5.000000000000000000e+01 3.606396824989133425e-04 7.872948262396234801e-06
+9.000000000000000000e+00 5.000000000000000000e+01 3.684986977734499495e-04 6.945260956401134954e-06
+1.000000000000000000e+01 5.000000000000000000e+01 3.876681999954599469e-04 6.780600382400402471e-06
+1.100000000000000000e+01 5.000000000000000000e+01 4.052125854526489887e-04 7.937589161632314325e-06
+1.200000000000000000e+01 5.000000000000000000e+01 4.274679049998060575e-04 1.012095146525379624e-05
+1.300000000000000000e+01 5.000000000000000000e+01 4.431371061540490073e-04 1.193954587296790810e-05
+1.400000000000000000e+01 5.000000000000000000e+01 4.661075871438567016e-04 1.171191285039605426e-05
+1.500000000000000000e+01 5.000000000000000000e+01 4.989643959985793752e-04 1.541941106542285995e-05
diff --git a/performance/qbit_scaling_meta.json b/performance/qbit_scaling_meta.json
new file mode 100644
index 0000000..5d3ba71
--- /dev/null
+++ b/performance/qbit_scaling_meta.json
@@ -0,0 +1 @@
+{"nstart": 4, "nstop": 16, "ncircuits": 50, "ngates_per_qbit": 100, "seed": 3735928559}
\ No newline at end of file
diff --git a/performance/qbit_scaling_naive.csv b/performance/qbit_scaling_naive.csv
new file mode 100644
index 0000000..4ae36ee
--- /dev/null
+++ b/performance/qbit_scaling_naive.csv
@@ -0,0 +1,12 @@
+4.000000000000000000e+00 5.000000000000000000e+01 5.476679499906822023e-04 2.408885102862740207e-06
+5.000000000000000000e+00 5.000000000000000000e+01 5.551456240027619494e-04 4.829193903192626175e-06
+6.000000000000000000e+00 5.000000000000000000e+01 5.855118333268667522e-04 1.850453831086512968e-05
+7.000000000000000000e+00 5.000000000000000000e+01 6.183522342897569387e-04 1.198932106957222646e-05
+8.000000000000000000e+00 5.000000000000000000e+01 6.563530025005092760e-04 6.555116391624968002e-06
+9.000000000000000000e+00 5.000000000000000000e+01 7.391909044488581765e-04 8.225023282170640282e-06
+1.000000000000000000e+01 5.000000000000000000e+01 8.980536999988544562e-04 1.079801438260659552e-05
+1.100000000000000000e+01 5.000000000000000000e+01 1.205755047270610147e-03 2.247180665566137078e-05
+1.200000000000000000e+01 5.000000000000000000e+01 1.953854708333438005e-03 5.515228539491306829e-05
+1.300000000000000000e+01 5.000000000000000000e+01 3.260316901537757724e-03 1.177441029627800557e-04
+1.400000000000000000e+01 5.000000000000000000e+01 5.731553058571339961e-03 1.832097576223597733e-04
+1.500000000000000000e+01 5.000000000000000000e+01 1.087934297466684741e-02 2.949436338465742788e-04
diff --git a/performance/regimes/circuit_scaling_10qbit_meta.json b/performance/regimes/circuit_scaling_10qbit_meta.json
new file mode 100644
index 0000000..ad74a42
--- /dev/null
+++ b/performance/regimes/circuit_scaling_10qbit_meta.json
@@ -0,0 +1 @@
+{"nstart": 4, "nstop": 1200, "step": 50, "ncircuits": 100, "nqbits0": 35, "seed": 3735928559}
\ No newline at end of file
diff --git a/performance/regimes/circuit_scaling_graph0.csv b/performance/regimes/circuit_scaling_graph0.csv
new file mode 100644
index 0000000..a860a7d
--- /dev/null
+++ b/performance/regimes/circuit_scaling_graph0.csv
@@ -0,0 +1,48 @@
+4.000000000000000000e+02 1.000000000000000000e+02 1.292528080030024311e-03 5.733202073394208302e-07
+4.500000000000000000e+02 1.000000000000000000e+02 1.476095590023760503e-03 9.150408420618684019e-07
+5.000000000000000000e+02 1.000000000000000000e+02 1.636735730062355244e-03 9.540711274194226357e-07
+5.500000000000000000e+02 1.000000000000000000e+02 1.812536450020161335e-03 1.205841932777725135e-06
+6.000000000000000000e+02 1.000000000000000000e+02 1.971303310037910914e-03 1.414550401571716266e-06
+6.500000000000000000e+02 1.000000000000000000e+02 2.157640070013257944e-03 3.569517080329898580e-06
+7.000000000000000000e+02 1.000000000000000000e+02 2.336278169982506162e-03 5.980153904582388949e-06
+7.500000000000000000e+02 1.000000000000000000e+02 2.532670610025889064e-03 5.849055647582172711e-06
+8.000000000000000000e+02 1.000000000000000000e+02 2.754502079988014728e-03 1.066963759179946694e-05
+8.500000000000000000e+02 1.000000000000000000e+02 2.979709850010294880e-03 1.785366947202229990e-05
+9.000000000000000000e+02 1.000000000000000000e+02 3.185773269997298641e-03 2.117697256738389563e-05
+9.500000000000000000e+02 1.000000000000000000e+02 3.502167479996387729e-03 3.322615193221120021e-05
+1.000000000000000000e+03 1.000000000000000000e+02 3.887793099993359577e-03 5.842375420664064204e-05
+1.050000000000000000e+03 1.000000000000000000e+02 4.455797970003914053e-03 9.479105678860545562e-05
+1.100000000000000000e+03 1.000000000000000000e+02 5.159400599995933763e-03 1.513410784039731060e-04
+1.150000000000000000e+03 1.000000000000000000e+02 5.799823660013316527e-03 1.953180291633748020e-04
+1.200000000000000000e+03 1.000000000000000000e+02 7.020630370006984179e-03 2.710865763361874599e-04
+1.250000000000000000e+03 1.000000000000000000e+02 8.124420090020977037e-03 2.682436115424335953e-04
+1.300000000000000000e+03 1.000000000000000000e+02 1.031703455000751966e-02 4.460012337498552070e-04
+1.350000000000000000e+03 1.000000000000000000e+02 1.372481314997912698e-02 6.817167959261133912e-04
+1.400000000000000000e+03 1.000000000000000000e+02 1.614032759998735786e-02 7.655134146049649441e-04
+1.450000000000000000e+03 1.000000000000000000e+02 1.963383306001105499e-02 9.653066555976935140e-04
+1.500000000000000000e+03 1.000000000000000000e+02 2.355605447000016367e-02 1.007280367082364660e-03
+1.550000000000000000e+03 1.000000000000000000e+02 2.888593782998213899e-02 1.130616777752615869e-03
+1.600000000000000000e+03 1.000000000000000000e+02 3.090407874000902777e-02 1.196974704672377912e-03
+1.650000000000000000e+03 1.000000000000000000e+02 4.296136711001963954e-02 1.702392647792500251e-03
+1.700000000000000000e+03 1.000000000000000000e+02 4.937921152999024538e-02 1.758433174294420044e-03
+1.750000000000000000e+03 1.000000000000000000e+02 5.796087034999800047e-02 2.244819224471562326e-03
+1.800000000000000000e+03 1.000000000000000000e+02 6.485743561003801116e-02 2.157648692163186867e-03
+1.850000000000000000e+03 1.000000000000000000e+02 7.996037262000754708e-02 2.549463165917180245e-03
+1.900000000000000000e+03 1.000000000000000000e+02 8.725268216998756377e-02 2.497729997935764588e-03
+1.950000000000000000e+03 1.000000000000000000e+02 1.047749073099976114e-01 3.039336827493059438e-03
+2.000000000000000000e+03 1.000000000000000000e+02 1.135617462299751412e-01 3.120489282007932359e-03
+2.050000000000000000e+03 1.000000000000000000e+02 1.294428618100118833e-01 4.043919095824219205e-03
+2.100000000000000000e+03 1.000000000000000000e+02 1.493889781299958530e-01 4.360579876782301120e-03
+2.150000000000000000e+03 1.000000000000000000e+02 1.604279495600167138e-01 4.000128248651088798e-03
+2.200000000000000000e+03 1.000000000000000000e+02 1.849853525699563794e-01 4.630087951335896089e-03
+2.250000000000000000e+03 1.000000000000000000e+02 2.037768253299873378e-01 4.645343978297457495e-03
+2.300000000000000000e+03 1.000000000000000000e+02 2.297617539699740585e-01 5.582634363749477101e-03
+2.350000000000000000e+03 1.000000000000000000e+02 2.437538262999623950e-01 4.971193420050567732e-03
+2.400000000000000000e+03 1.000000000000000000e+02 2.698941993499829328e-01 5.216616307042788205e-03
+2.450000000000000000e+03 1.000000000000000000e+02 2.773576283999955039e-01 5.608918630422963895e-03
+2.500000000000000000e+03 1.000000000000000000e+02 3.092535914800009778e-01 5.558970822336704691e-03
+2.550000000000000000e+03 1.000000000000000000e+02 3.230660961900412298e-01 6.283839171520887168e-03
+2.600000000000000000e+03 1.000000000000000000e+02 3.471448883399989582e-01 6.080763225259631574e-03
+2.650000000000000000e+03 1.000000000000000000e+02 3.736992086399822943e-01 5.721224507783587328e-03
+2.700000000000000000e+03 1.000000000000000000e+02 3.990102667600330943e-01 6.176830635263770748e-03
+2.750000000000000000e+03 1.000000000000000000e+02 4.307573399299963191e-01 7.475051084608957778e-03
diff --git a/performance/regimes/circuit_scaling_graph1.csv b/performance/regimes/circuit_scaling_graph1.csv
new file mode 100644
index 0000000..d629a3f
--- /dev/null
+++ b/performance/regimes/circuit_scaling_graph1.csv
@@ -0,0 +1,48 @@
+4.000000000000000000e+02 1.000000000000000000e+02 1.339489360016159376e-03 4.373146691524687539e-06
+4.500000000000000000e+02 1.000000000000000000e+02 1.562109959986628278e-03 1.180899695630014391e-05
+5.000000000000000000e+02 1.000000000000000000e+02 1.778847130008216499e-03 1.149077062319606950e-05
+5.500000000000000000e+02 1.000000000000000000e+02 2.110902080021332880e-03 2.624849164697186263e-05
+6.000000000000000000e+02 1.000000000000000000e+02 2.507623680012329923e-03 5.024093633131331254e-05
+6.500000000000000000e+02 1.000000000000000000e+02 2.903985629982344056e-03 6.015885116030449901e-05
+7.000000000000000000e+02 1.000000000000000000e+02 3.571180630096932717e-03 8.668641931525905878e-05
+7.500000000000000000e+02 1.000000000000000000e+02 4.649395489932431173e-03 1.562207642547893283e-04
+8.000000000000000000e+02 1.000000000000000000e+02 5.546356450031453625e-03 1.582508901319584825e-04
+8.500000000000000000e+02 1.000000000000000000e+02 6.406500799985223767e-03 1.918995071719773620e-04
+9.000000000000000000e+02 1.000000000000000000e+02 8.359043909995306568e-03 2.340207500002419640e-04
+9.500000000000000000e+02 1.000000000000000000e+02 1.000986628994724077e-02 3.018884726136203791e-04
+1.000000000000000000e+03 1.000000000000000000e+02 1.170250708993080500e-02 3.032224032573330348e-04
+1.050000000000000000e+03 1.000000000000000000e+02 1.380836285999976175e-02 3.452895779108171629e-04
+1.100000000000000000e+03 1.000000000000000000e+02 1.621811796999281935e-02 3.723085100818067220e-04
+1.150000000000000000e+03 1.000000000000000000e+02 1.751635235991670994e-02 4.478445134046689607e-04
+1.200000000000000000e+03 1.000000000000000000e+02 2.175449063999622054e-02 4.550615158014478172e-04
+1.250000000000000000e+03 1.000000000000000000e+02 2.409289705004084847e-02 5.138623006510827183e-04
+1.300000000000000000e+03 1.000000000000000000e+02 2.707032501996764137e-02 5.352370173198506709e-04
+1.350000000000000000e+03 1.000000000000000000e+02 3.030421213003137507e-02 6.168532729649393864e-04
+1.400000000000000000e+03 1.000000000000000000e+02 3.292778922999786695e-02 6.216599880647764734e-04
+1.450000000000000000e+03 1.000000000000000000e+02 3.600494719007656108e-02 6.306597432476020214e-04
+1.500000000000000000e+03 1.000000000000000000e+02 4.062817144002110747e-02 5.695523913560983234e-04
+1.550000000000000000e+03 1.000000000000000000e+02 4.374126138997781049e-02 6.867946415651611427e-04
+1.600000000000000000e+03 1.000000000000000000e+02 4.496943137003654722e-02 7.410684775443047729e-04
+1.650000000000000000e+03 1.000000000000000000e+02 4.960669941999185789e-02 6.949628904898550634e-04
+1.700000000000000000e+03 1.000000000000000000e+02 5.404410303002805255e-02 6.394108496901118686e-04
+1.750000000000000000e+03 1.000000000000000000e+02 5.542541316996903167e-02 8.394048440130790194e-04
+1.800000000000000000e+03 1.000000000000000000e+02 6.030962357997850937e-02 7.403164840214486583e-04
+1.850000000000000000e+03 1.000000000000000000e+02 6.299317811999571859e-02 8.144342068100703189e-04
+1.900000000000000000e+03 1.000000000000000000e+02 6.699343264000162668e-02 7.670420236218962202e-04
+1.950000000000000000e+03 1.000000000000000000e+02 7.118386181999994400e-02 6.646562386100526290e-04
+2.000000000000000000e+03 1.000000000000000000e+02 7.348656025002128778e-02 8.370289188304915872e-04
+2.050000000000000000e+03 1.000000000000000000e+02 7.429763381001067146e-02 7.700828038098531548e-04
+2.100000000000000000e+03 1.000000000000000000e+02 7.828760585999589017e-02 7.691943397858324542e-04
+2.150000000000000000e+03 1.000000000000000000e+02 8.402856610011440186e-02 8.349493053548320007e-04
+2.200000000000000000e+03 1.000000000000000000e+02 8.729005758003040294e-02 7.691550593819323047e-04
+2.250000000000000000e+03 1.000000000000000000e+02 9.405598109005949836e-02 9.178635033626555842e-04
+2.300000000000000000e+03 1.000000000000000000e+02 9.799322385992127737e-02 9.222294375051240303e-04
+2.350000000000000000e+03 1.000000000000000000e+02 1.006686677600191621e-01 9.167243728391789642e-04
+2.400000000000000000e+03 1.000000000000000000e+02 1.047712729699196710e-01 8.665465747754112335e-04
+2.450000000000000000e+03 1.000000000000000000e+02 1.063802617899273217e-01 9.078377647675694648e-04
+2.500000000000000000e+03 1.000000000000000000e+02 1.100784591899355291e-01 8.827002059403676664e-04
+2.550000000000000000e+03 1.000000000000000000e+02 1.150724165801148002e-01 9.343339900374694057e-04
+2.600000000000000000e+03 1.000000000000000000e+02 1.193642491499849745e-01 9.657911774894351736e-04
+2.650000000000000000e+03 1.000000000000000000e+02 1.208200644799580920e-01 8.525406023378619266e-04
+2.700000000000000000e+03 1.000000000000000000e+02 1.262045125600161632e-01 8.985605875767001477e-04
+2.750000000000000000e+03 1.000000000000000000e+02 1.257651572799295403e-01 9.551881433090064159e-04
diff --git a/performance/regimes/circuit_scaling_graph_10qbit.csv b/performance/regimes/circuit_scaling_graph_10qbit.csv
new file mode 100644
index 0000000..a5f84c8
--- /dev/null
+++ b/performance/regimes/circuit_scaling_graph_10qbit.csv
@@ -0,0 +1,24 @@
+4.000000000000000000e+00 1.000000000000000000e+02 1.564543006679741774e-05 2.656992883057296882e-08
+5.400000000000000000e+01 1.000000000000000000e+02 1.731588100665248974e-04 1.891486708526498503e-07
+1.040000000000000000e+02 1.000000000000000000e+02 3.327573901151481789e-04 1.855951227204178612e-07
+1.540000000000000000e+02 1.000000000000000000e+02 4.930128000341937617e-04 2.744376670026742635e-07
+2.040000000000000000e+02 1.000000000000000000e+02 6.546214299487473735e-04 5.883677983588543225e-07
+2.540000000000000000e+02 1.000000000000000000e+02 8.212220899258682169e-04 1.126278112692182968e-06
+3.040000000000000000e+02 1.000000000000000000e+02 1.015626240023266395e-03 3.254998559417442113e-06
+3.540000000000000000e+02 1.000000000000000000e+02 1.220751460041356092e-03 5.651673945840259503e-06
+4.040000000000000000e+02 1.000000000000000000e+02 1.469789179991494140e-03 1.230198810360312458e-05
+4.540000000000000000e+02 1.000000000000000000e+02 1.757790079973346915e-03 1.897676531720800632e-05
+5.040000000000000000e+02 1.000000000000000000e+02 2.089055169981293182e-03 2.956743840878384134e-05
+5.540000000000000000e+02 1.000000000000000000e+02 2.498453950011025881e-03 3.814927536558484350e-05
+6.040000000000000000e+02 1.000000000000000000e+02 3.009637379891500972e-03 5.073452290883979660e-05
+6.540000000000000000e+02 1.000000000000000000e+02 3.482909410031425224e-03 6.954956500888895342e-05
+7.040000000000000000e+02 1.000000000000000000e+02 4.206959059865766556e-03 7.551001508640306091e-05
+7.540000000000000000e+02 1.000000000000000000e+02 4.908434529970691178e-03 7.480130306974699657e-05
+8.040000000000000000e+02 1.000000000000000000e+02 5.724250219900568412e-03 9.401443578256306875e-05
+8.540000000000000000e+02 1.000000000000000000e+02 6.402010290075850138e-03 9.696758969498020585e-05
+9.040000000000000000e+02 1.000000000000000000e+02 7.130309890017088280e-03 1.214294101579835105e-04
+9.540000000000000000e+02 1.000000000000000000e+02 8.238475820107851733e-03 1.317346528726986619e-04
+1.004000000000000000e+03 1.000000000000000000e+02 9.108648289948178753e-03 1.116290141071140209e-04
+1.054000000000000000e+03 1.000000000000000000e+02 1.004816869981368585e-02 1.294641140653965384e-04
+1.104000000000000000e+03 1.000000000000000000e+02 1.081924826003160048e-02 1.313532735861817728e-04
+1.154000000000000000e+03 1.000000000000000000e+02 1.177285703000961747e-02 1.599152765896968953e-04
diff --git a/performance/regimes/circuit_scaling_meta.json b/performance/regimes/circuit_scaling_meta.json
new file mode 100644
index 0000000..a7d402d
--- /dev/null
+++ b/performance/regimes/circuit_scaling_meta.json
@@ -0,0 +1 @@
+{"nstart": 400, "nstop": 1800, "step": 50, "ncircuits": 50, "nqbits0": 100, "nqbits1": 50, "seed": 3735928559}
\ No newline at end of file
diff --git a/performance/generate_data_scaling_circuits.py b/performance/regimes/generate_data_scaling_circuits.py
similarity index 91%
rename from performance/generate_data_scaling_circuits.py
rename to performance/regimes/generate_data_scaling_circuits.py
index 0289d11..77afc65 100644
--- a/performance/generate_data_scaling_circuits.py
+++ b/performance/regimes/generate_data_scaling_circuits.py
@@ -66,13 +66,13 @@ if __name__ == "__main__":
     print("saved results1 to circuit_scaling_graph1.csv")
 
     meta = {
-            "nstart": 400
-            , "nstop": 1800
-            , "step": 50
-            , "ncircuits": 50
-            , "nqbits0": 100
-            , "nqbits1": 50
-            , "seed": 0xdeadbeef}
+            "nstart": nstart
+            , "nstop": nstop
+            , "step": step
+            , "ncircuits": ncircuits
+            , "nqbits0": nqbits0
+            , "nqbits1": nqbits1
+            , "seed": seed}
 
     with open("circuit_scaling_meta.json", "w") as fout:
         json.dump(meta, fout)
diff --git a/performance/regimes/generate_data_scaling_circuits_10qbit.py b/performance/regimes/generate_data_scaling_circuits_10qbit.py
new file mode 100644
index 0000000..8f77f5f
--- /dev/null
+++ b/performance/regimes/generate_data_scaling_circuits_10qbit.py
@@ -0,0 +1,68 @@
+from collections import deque
+import matplotlib.pyplot as plt
+import numpy as np
+import json
+
+from pyqcs import State, H, X, S, CZ
+from pyqcs.graph.state import GraphState
+from pyqcs.util.random_circuits import random_circuit
+
+from measure_circuit import execution_statistics
+
+def S_with_extra_arg(act, i):
+    return S(act)
+
+def test_scaling_circuits(state_factory
+                        , nstart
+                        , nstop
+                        , step
+                        , nqbits
+                        , ncircuits
+                        , **kwargs):
+    results = deque()
+
+    for ngates in range(nstart, nstop, step):
+        circuits = [random_circuit(nqbits, ngates, X, H, S_with_extra_arg, CZ)
+                        for _ in range(ncircuits)]
+        state = state_factory(nqbits)
+
+        print("running test with", ngates, "gates on", nqbits, "qbits")
+
+        N, avg, std_dev = execution_statistics(circuits, state, scale=1, **kwargs)
+        results.append([ngates, N, avg, std_dev])
+
+    return np.array(results, dtype=np.double)
+
+
+if __name__ == "__main__":
+    nstart = 4
+    nstop = 1200
+    step = 50
+    ncircuits = 100
+    nqbits0 = 35
+    seed = 0xdeadbeef
+
+    np.random.seed(seed)
+    results_graph0 = test_scaling_circuits(GraphState.new_zero_state
+                                    , nstart
+                                    , nstop
+                                    , step
+                                    , nqbits0
+                                    , ncircuits
+                                    , repeat=10)
+
+    np.savetxt("circuit_scaling_graph_10qbit.csv", results_graph0)
+    print("saved results to circuit_scaling_graph_10qbit.csv")
+
+    meta = {
+            "nstart": nstart
+            , "nstop": nstop
+            , "step": step
+            , "ncircuits": ncircuits
+            , "nqbits0": nqbits0
+            , "seed": seed}
+
+    with open("circuit_scaling_10qbit_meta.json", "w") as fout:
+        json.dump(meta, fout)
+    print("saved meta to circuit_scaling_10bit_meta.json")
+
diff --git a/performance/regimes/graph_high_linear_regime.dot b/performance/regimes/graph_high_linear_regime.dot
new file mode 100644
index 0000000..7d81f3b
--- /dev/null
+++ b/performance/regimes/graph_high_linear_regime.dot
@@ -0,0 +1,591 @@
+graph graphical_state{
+0 -- 3
+0 -- 4
+0 -- 5
+0 -- 7
+0 -- 9
+0 -- 10
+0 -- 12
+0 -- 15
+0 -- 16
+0 -- 18
+0 -- 19
+0 -- 20
+0 -- 22
+0 -- 25
+0 -- 26
+0 -- 27
+0 -- 28
+0 -- 32
+0 -- 33
+0 -- 35
+0 -- 38
+0 -- 39
+0 -- 40
+0 -- 41
+0 -- 42
+0 -- 45
+0 -- 47
+0 -- 48
+1 -- 3
+1 -- 4
+1 -- 5
+1 -- 8
+1 -- 9
+1 -- 11
+1 -- 12
+1 -- 13
+1 -- 14
+1 -- 16
+1 -- 17
+1 -- 18
+1 -- 19
+1 -- 20
+1 -- 24
+1 -- 27
+1 -- 28
+1 -- 30
+1 -- 31
+1 -- 32
+1 -- 33
+1 -- 34
+1 -- 35
+1 -- 37
+1 -- 39
+1 -- 43
+1 -- 44
+1 -- 46
+2 -- 7
+2 -- 9
+2 -- 10
+2 -- 11
+2 -- 12
+2 -- 16
+2 -- 18
+2 -- 19
+2 -- 20
+2 -- 21
+2 -- 23
+2 -- 25
+2 -- 27
+2 -- 31
+2 -- 36
+2 -- 39
+2 -- 40
+2 -- 41
+2 -- 44
+2 -- 45
+2 -- 48
+3 -- 4
+3 -- 5
+3 -- 6
+3 -- 7
+3 -- 10
+3 -- 11
+3 -- 12
+3 -- 13
+3 -- 14
+3 -- 15
+3 -- 16
+3 -- 17
+3 -- 19
+3 -- 20
+3 -- 25
+3 -- 26
+3 -- 27
+3 -- 29
+3 -- 31
+3 -- 32
+3 -- 34
+3 -- 35
+3 -- 36
+3 -- 37
+3 -- 38
+3 -- 40
+3 -- 42
+3 -- 43
+3 -- 46
+3 -- 47
+4 -- 7
+4 -- 9
+4 -- 11
+4 -- 12
+4 -- 16
+4 -- 19
+4 -- 20
+4 -- 21
+4 -- 23
+4 -- 24
+4 -- 25
+4 -- 29
+4 -- 30
+4 -- 31
+4 -- 32
+4 -- 35
+4 -- 39
+4 -- 40
+4 -- 41
+4 -- 42
+4 -- 44
+4 -- 46
+4 -- 48
+5 -- 8
+5 -- 12
+5 -- 13
+5 -- 15
+5 -- 19
+5 -- 22
+5 -- 23
+5 -- 24
+5 -- 27
+5 -- 29
+5 -- 30
+5 -- 34
+5 -- 35
+5 -- 40
+5 -- 41
+5 -- 42
+5 -- 47
+6 -- 7
+6 -- 8
+6 -- 9
+6 -- 10
+6 -- 16
+6 -- 18
+6 -- 19
+6 -- 21
+6 -- 23
+6 -- 25
+6 -- 26
+6 -- 28
+6 -- 30
+6 -- 31
+6 -- 32
+6 -- 35
+6 -- 38
+6 -- 41
+6 -- 42
+6 -- 43
+6 -- 45
+6 -- 46
+6 -- 47
+7 -- 11
+7 -- 13
+7 -- 14
+7 -- 15
+7 -- 17
+7 -- 19
+7 -- 21
+7 -- 23
+7 -- 25
+7 -- 29
+7 -- 33
+7 -- 34
+7 -- 35
+7 -- 39
+7 -- 40
+7 -- 42
+7 -- 43
+7 -- 48
+8 -- 9
+8 -- 13
+8 -- 14
+8 -- 16
+8 -- 17
+8 -- 18
+8 -- 21
+8 -- 22
+8 -- 24
+8 -- 26
+8 -- 28
+8 -- 29
+8 -- 31
+8 -- 32
+8 -- 34
+8 -- 35
+8 -- 39
+8 -- 41
+8 -- 42
+8 -- 43
+8 -- 45
+8 -- 48
+9 -- 11
+9 -- 16
+9 -- 18
+9 -- 19
+9 -- 20
+9 -- 21
+9 -- 23
+9 -- 24
+9 -- 27
+9 -- 29
+9 -- 30
+9 -- 31
+9 -- 32
+9 -- 33
+9 -- 34
+9 -- 35
+9 -- 38
+9 -- 40
+9 -- 42
+9 -- 45
+9 -- 48
+10 -- 13
+10 -- 16
+10 -- 17
+10 -- 18
+10 -- 21
+10 -- 23
+10 -- 27
+10 -- 28
+10 -- 29
+10 -- 30
+10 -- 33
+10 -- 35
+10 -- 37
+10 -- 38
+10 -- 39
+10 -- 42
+10 -- 45
+10 -- 46
+10 -- 48
+11 -- 17
+11 -- 18
+11 -- 19
+11 -- 21
+11 -- 25
+11 -- 32
+11 -- 33
+11 -- 34
+11 -- 35
+11 -- 37
+11 -- 38
+11 -- 42
+11 -- 45
+11 -- 46
+12 -- 14
+12 -- 15
+12 -- 16
+12 -- 17
+12 -- 22
+12 -- 23
+12 -- 24
+12 -- 25
+12 -- 26
+12 -- 28
+12 -- 29
+12 -- 32
+12 -- 33
+12 -- 34
+12 -- 35
+12 -- 36
+12 -- 37
+12 -- 40
+12 -- 41
+12 -- 42
+12 -- 44
+12 -- 46
+12 -- 47
+12 -- 48
+13 -- 17
+13 -- 18
+13 -- 21
+13 -- 23
+13 -- 24
+13 -- 28
+13 -- 29
+13 -- 30
+13 -- 32
+13 -- 33
+13 -- 36
+13 -- 38
+13 -- 39
+13 -- 42
+13 -- 45
+13 -- 47
+14 -- 17
+14 -- 20
+14 -- 23
+14 -- 24
+14 -- 25
+14 -- 29
+14 -- 30
+14 -- 31
+14 -- 32
+14 -- 35
+14 -- 36
+14 -- 37
+14 -- 39
+14 -- 43
+14 -- 44
+14 -- 45
+14 -- 47
+14 -- 48
+15 -- 17
+15 -- 19
+15 -- 22
+15 -- 23
+15 -- 24
+15 -- 25
+15 -- 27
+15 -- 29
+15 -- 33
+15 -- 34
+15 -- 39
+15 -- 41
+15 -- 43
+15 -- 44
+15 -- 45
+15 -- 48
+16 -- 18
+16 -- 19
+16 -- 20
+16 -- 21
+16 -- 22
+16 -- 23
+16 -- 26
+16 -- 28
+16 -- 30
+16 -- 31
+16 -- 35
+16 -- 36
+16 -- 38
+16 -- 39
+16 -- 41
+16 -- 44
+16 -- 47
+17 -- 18
+17 -- 19
+17 -- 21
+17 -- 24
+17 -- 25
+17 -- 26
+17 -- 28
+17 -- 34
+17 -- 35
+17 -- 38
+17 -- 39
+17 -- 40
+17 -- 43
+17 -- 45
+17 -- 46
+17 -- 48
+18 -- 19
+18 -- 20
+18 -- 22
+18 -- 23
+18 -- 25
+18 -- 30
+18 -- 31
+18 -- 33
+18 -- 35
+18 -- 41
+18 -- 45
+18 -- 47
+18 -- 48
+19 -- 20
+19 -- 21
+19 -- 22
+19 -- 23
+19 -- 24
+19 -- 25
+19 -- 26
+19 -- 28
+19 -- 31
+19 -- 32
+19 -- 34
+19 -- 35
+19 -- 37
+19 -- 38
+19 -- 40
+19 -- 41
+19 -- 45
+19 -- 46
+19 -- 47
+19 -- 48
+20 -- 24
+20 -- 25
+20 -- 26
+20 -- 27
+20 -- 32
+20 -- 33
+20 -- 37
+20 -- 39
+20 -- 45
+21 -- 22
+21 -- 24
+21 -- 25
+21 -- 27
+21 -- 29
+21 -- 30
+21 -- 33
+21 -- 34
+21 -- 36
+21 -- 38
+21 -- 39
+21 -- 44
+21 -- 45
+21 -- 46
+21 -- 47
+21 -- 48
+22 -- 23
+22 -- 25
+22 -- 27
+22 -- 30
+22 -- 32
+22 -- 33
+22 -- 34
+22 -- 35
+22 -- 36
+22 -- 39
+22 -- 42
+22 -- 43
+22 -- 44
+22 -- 45
+22 -- 46
+22 -- 47
+23 -- 25
+23 -- 26
+23 -- 32
+23 -- 37
+23 -- 38
+23 -- 39
+23 -- 40
+23 -- 41
+23 -- 43
+23 -- 45
+23 -- 46
+24 -- 25
+24 -- 26
+24 -- 28
+24 -- 29
+24 -- 31
+24 -- 33
+24 -- 35
+24 -- 36
+24 -- 38
+24 -- 39
+24 -- 43
+25 -- 29
+25 -- 33
+25 -- 34
+25 -- 35
+25 -- 38
+25 -- 39
+25 -- 41
+25 -- 43
+25 -- 44
+25 -- 46
+26 -- 27
+26 -- 30
+26 -- 34
+26 -- 37
+26 -- 39
+26 -- 43
+26 -- 44
+26 -- 45
+27 -- 28
+27 -- 29
+27 -- 32
+27 -- 34
+27 -- 47
+28 -- 30
+28 -- 31
+28 -- 34
+28 -- 37
+28 -- 38
+28 -- 40
+28 -- 41
+28 -- 43
+28 -- 48
+29 -- 30
+29 -- 32
+29 -- 35
+29 -- 38
+29 -- 41
+29 -- 43
+29 -- 48
+30 -- 32
+30 -- 33
+30 -- 34
+30 -- 39
+30 -- 44
+30 -- 45
+30 -- 46
+31 -- 32
+31 -- 33
+31 -- 34
+31 -- 36
+31 -- 39
+31 -- 40
+31 -- 41
+31 -- 43
+31 -- 44
+31 -- 46
+31 -- 47
+31 -- 48
+32 -- 33
+32 -- 34
+32 -- 36
+32 -- 37
+32 -- 39
+32 -- 43
+32 -- 44
+32 -- 45
+32 -- 46
+32 -- 47
+33 -- 34
+33 -- 38
+33 -- 42
+33 -- 43
+33 -- 45
+33 -- 47
+34 -- 35
+34 -- 38
+34 -- 39
+34 -- 48
+35 -- 36
+35 -- 37
+35 -- 39
+35 -- 40
+35 -- 45
+36 -- 37
+36 -- 38
+36 -- 39
+36 -- 40
+36 -- 42
+36 -- 43
+36 -- 44
+36 -- 45
+36 -- 46
+36 -- 47
+36 -- 48
+37 -- 38
+37 -- 39
+37 -- 41
+37 -- 45
+37 -- 46
+38 -- 39
+38 -- 42
+38 -- 44
+38 -- 46
+38 -- 48
+39 -- 40
+39 -- 41
+39 -- 42
+39 -- 44
+40 -- 43
+40 -- 44
+40 -- 47
+41 -- 43
+41 -- 45
+41 -- 46
+41 -- 47
+42 -- 48
+43 -- 45
+43 -- 46
+44 -- 45
+45 -- 46
+45 -- 48
+46 -- 48
+}
diff --git a/performance/regimes/graph_high_linear_regime.png b/performance/regimes/graph_high_linear_regime.png
new file mode 100644
index 0000000..691ecc3
Binary files /dev/null and b/performance/regimes/graph_high_linear_regime.png differ
diff --git a/performance/regimes/graph_high_linear_regime.py b/performance/regimes/graph_high_linear_regime.py
new file mode 100644
index 0000000..556b9d9
--- /dev/null
+++ b/performance/regimes/graph_high_linear_regime.py
@@ -0,0 +1,34 @@
+from collections import deque
+import matplotlib.pyplot as plt
+import numpy as np
+import json
+
+from pyqcs import State, H, X, S, CZ
+from pyqcs.graph.state import GraphState
+from pyqcs.util.random_circuits import random_circuit
+
+def S_with_extra_arg(act, i):
+    return S(act)
+
+np.random.seed(0xdeadbeef)
+
+circuit = random_circuit(50, 1500, X, H, S_with_extra_arg, CZ)
+
+state = circuit * GraphState.new_plus_state(50)
+
+vops, edges = state._g_state.to_lists()
+
+handled_edges = set()
+dot_edges = deque()
+
+for i, ngbhd in enumerate(edges):
+    for j in ngbhd:
+        if((i,j) not in handled_edges):
+            dot_edges.append(f"{i} -- {j}")
+            handled_edges |= {(i,j), (j,i)}
+
+dot_edges_str = "\n".join(dot_edges)
+
+dot_str = "graph graphical_state{\n" + dot_edges_str + "\n}"
+
+print(dot_str)
diff --git a/performance/regimes/graph_low_linear_regime.dot b/performance/regimes/graph_low_linear_regime.dot
new file mode 100644
index 0000000..96b61cc
--- /dev/null
+++ b/performance/regimes/graph_low_linear_regime.dot
@@ -0,0 +1,30 @@
+graph graphical_state{
+1 -- 11
+1 -- 30
+1 -- 33
+2 -- 26
+4 -- 6
+4 -- 29
+4 -- 43
+5 -- 39
+6 -- 29
+6 -- 45
+11 -- 19
+11 -- 33
+12 -- 14
+17 -- 28
+17 -- 30
+17 -- 38
+17 -- 44
+20 -- 38
+23 -- 32
+24 -- 26
+24 -- 38
+25 -- 28
+25 -- 30
+25 -- 44
+26 -- 38
+27 -- 33
+29 -- 33
+29 -- 43
+}
diff --git a/performance/regimes/graph_low_linear_regime.png b/performance/regimes/graph_low_linear_regime.png
new file mode 100644
index 0000000..bbcc226
Binary files /dev/null and b/performance/regimes/graph_low_linear_regime.png differ
diff --git a/performance/regimes/graph_low_linear_regime.py b/performance/regimes/graph_low_linear_regime.py
new file mode 100644
index 0000000..92f33a8
--- /dev/null
+++ b/performance/regimes/graph_low_linear_regime.py
@@ -0,0 +1,34 @@
+from collections import deque
+import matplotlib.pyplot as plt
+import numpy as np
+import json
+
+from pyqcs import State, H, X, S, CZ
+from pyqcs.graph.state import GraphState
+from pyqcs.util.random_circuits import random_circuit
+
+def S_with_extra_arg(act, i):
+    return S(act)
+
+np.random.seed(0xdeadbeef)
+
+circuit = random_circuit(50, 120, X, H, S_with_extra_arg, CZ)
+
+state = circuit * GraphState.new_plus_state(50)
+
+vops, edges = state._g_state.to_lists()
+
+handled_edges = set()
+dot_edges = deque()
+
+for i, ngbhd in enumerate(edges):
+    for j in ngbhd:
+        if((i,j) not in handled_edges):
+            dot_edges.append(f"{i} -- {j}")
+            handled_edges |= {(i,j), (j,i)}
+
+dot_edges_str = "\n".join(dot_edges)
+
+dot_str = "graph graphical_state{\n" + dot_edges_str + "\n}"
+
+print(dot_str)
diff --git a/performance/regimes/plot_scaling_circuits_10qbit_linear.py b/performance/regimes/plot_scaling_circuits_10qbit_linear.py
new file mode 100644
index 0000000..8a733d3
--- /dev/null
+++ b/performance/regimes/plot_scaling_circuits_10qbit_linear.py
@@ -0,0 +1,24 @@
+from collections import deque
+import matplotlib
+import matplotlib.pyplot as plt
+import numpy as np
+import json
+
+matplotlib.rcParams.update({'errorbar.capsize': 2})
+
+results_graph0 = np.genfromtxt("circuit_scaling_graph_10qbit.csv")
+with open("circuit_scaling_10qbit_meta.json") as fin:
+    meta = json.load(fin)
+
+h0 = plt.errorbar(results_graph0[:, 0], results_graph0[:, 2], results_graph0[:, 3]
+                , label=f"Graphical Simulator $N_q={meta['nqbits0']}$ Qbits"
+                , marker="^"
+                , color="black")
+
+plt.legend(handles=[h0])
+plt.xlabel("Number of gates in circuit")
+plt.ylabel("Execution time per circuit [s]")
+plt.title(f"Execution Time for Random Circuits")
+
+plt.savefig("scaling_circuits_10qbit_linear.png", dpi=400)
+plt.show()
diff --git a/performance/plot_scaling_circuits_linear.py b/performance/regimes/plot_scaling_circuits_linear.py
similarity index 95%
rename from performance/plot_scaling_circuits_linear.py
rename to performance/regimes/plot_scaling_circuits_linear.py
index dd5a88d..ea1c97d 100644
--- a/performance/plot_scaling_circuits_linear.py
+++ b/performance/regimes/plot_scaling_circuits_linear.py
@@ -23,7 +23,7 @@ h1 = plt.errorbar(results_graph1[:, 0], results_graph1[:, 2], results_graph1[:,
 plt.legend(handles=[h0, h1])
 plt.xlabel("Number of gates in circuit")
 plt.ylabel("Execution time per circuit [s]")
-plt.title(f"Execution Time for random Circuits")
+plt.title(f"Execution Time for Random Circuits")
 
 plt.savefig("scaling_circuits_linear.png", dpi=400)
 plt.show()
diff --git a/performance/regimes/scaling_circuits_10qbit_linear.png b/performance/regimes/scaling_circuits_10qbit_linear.png
new file mode 100644
index 0000000..ac718cb
Binary files /dev/null and b/performance/regimes/scaling_circuits_10qbit_linear.png differ
diff --git a/performance/regimes/scaling_circuits_linear.png b/performance/regimes/scaling_circuits_linear.png
new file mode 100644
index 0000000..b2759f8
Binary files /dev/null and b/performance/regimes/scaling_circuits_linear.png differ
diff --git a/performance/scaling_qbits_linear.png b/performance/scaling_qbits_linear.png
new file mode 100644
index 0000000..566a871
Binary files /dev/null and b/performance/scaling_qbits_linear.png differ
diff --git a/performance/scaling_qbits_log.png b/performance/scaling_qbits_log.png
new file mode 100644
index 0000000..efdcc05
Binary files /dev/null and b/performance/scaling_qbits_log.png differ