Selections inspect retained observations. Only explicit observation identities link panels. Static exports use the initial selected frame; saved state records later exploration without changing evidence. Dense ordered views above 5000 samples draw every retained coordinate without individual marker glyphs; use point or keyboard inspection for exact observations. A separate overlay marks up to 128 selected observations; every selected identity remains saved.
Select a plotted observation or use its keyboard index control to inspect evidence.
final_density_matrix
The saved state passes the declared numerical state checks. Purity is 0.12517588; entropy is 4.4881159 bits.
Retained values: {"eigenvalues_hermitian_part":[0.0017597830734751502,0.0018051912018288993,0.00200773614747285,0.0023263851376208898,0.0023263851376208997,0.0023826390360256085,0.0025331400228729203,0.002533140022872933,0.0029303221768851484,0.002930322176885164,0.002950236130655672,0.0029969841110372417,0.0031013635647879883,0.003101363564787993,0.0031842125459905514,0.0031842125459905653,0.0034022465679858747,0.003475412326881394,0.0036278643268255655,0.0036278643268255824,0.004010121489165935,0.0041587016487025525,0.0041587016487025594,0.0045259111352984865,0.004766391270265044,0.00490464230599303,0.004904642305993053,0.0049905620716987845,0.004990562071698797,0.005147820198937891,0.005498721478930437,0.005498721478930447,0.006531017225272484,0.0065310172252725,0.006536585606091658,0.007266894797001269,0.007266894797001277,0.0072859050329310325,0.007990841001970256,0.007990841001970273,0.008444637251143972,0.009567657767202213,0.00956765776720223,0.010508773292995734,0.01050877329299575,0.011355402453182405,0.01217495311631568,0.01437663796997014,0.016177108973273974,0.01617710897327401,0.01696882622730026,0.01696882622730029,0.01896309217455655,0.01940734192383385,0.021157928733984283,0.021157928733984307,0.02388295334903297,0.023882953349032995,0.03070551523535204,0.030705515235352077,0.03470095851583237,0.05639798670317471,0.06494939112933491,0.330149771667211],"entropy_bits":4.4881159024954265,"entropy_convention":"Eigenvalues within tolerance below zero clipped for entropy only; stored state unchanged.","maximum_absolute_entry":0.0912799269670486,"purity_imag":1.0440104591382879e-17,"purity_real":0.1251758776755814,"shape":[64,64],"trace_imag":8.322606926541853e-17,"trace_real":0.9999999999999956}
Method metadata: {"basis":"computational","kind":"quantum_checkpoints","label":"Calculated reduced q0 state checkpoints","link_group":"floquet-cycles","name":"reduced_q0_checkpoints","observables":["Z"],"origin":"numerical_state","qubit_order":"little_endian","seed":0,"source":"/data/reduced_q0_checkpoints","tolerance":1e-08,"units":"dimensionless"}
Evidence: ["/data/reduced_q0_checkpoints"]
Retained values: {"checkpoint_count":9,"coordinate":"cycle","dynamics":{"interpretation":"Calculated one-qubit reduced states at retained cycles; other intermediate full-state information is not retained.","model":"Floquet Ising phase-flip evolution","settings":{"J":0.34,"boundary":"ring","cycles":8,"h":0.71,"initial_state":"neel","n":6,"p":0.025},"subsystem":[0],"traced_out_qubits":[1,2,3,4,5]},"interpolation":"none; only retained calculated checkpoints","link_group":"floquet-cycles","observation_ids":["floquet-cycle:0","floquet-cycle:1","floquet-cycle:2","floquet-cycle:3","floquet-cycle:4","floquet-cycle:5","floquet-cycle:6","floquet-cycle:7","floquet-cycle:8"],"observations":[{"at":0.0,"observables":{"Z":1.0},"observation_id":"floquet-cycle:0","purity":1.0},{"at":1.0,"observables":{"Z":0.15022546991168584},"observation_id":"floquet-cycle:1","purity":0.9523501749757458},{"at":2.0,"observables":{"Z":-0.5305726665416548},"observation_id":"floquet-cycle:2","purity":0.6737513554767178},{"at":3.0,"observables":{"Z":-0.18592332459685934},"observation_id":"floquet-cycle:3","purity":0.6343177587942386},{"at":4.0,"observables":{"Z":0.1374399275734947},"observation_id":"floquet-cycle:4","purity":0.5293519199095453},{"at":5.0,"observables":{"Z":0.08327088786477171},"observation_id":"floquet-cycle:5","purity":0.5134151375318889},{"at":6.0,"observables":{"Z":0.0020129326408164228},"observation_id":"floquet-cycle:6","purity":0.5045833390145404},{"at":7.0,"observables":{"Z":0.03699676837767779},"observation_id":"floquet-cycle:7","purity":0.5011634301174269},{"at":8.0,"observables":{"Z":-0.012959091092591024},"observation_id":"floquet-cycle:8","purity":0.5032767102826016}],"units":null}
Method metadata: {"basis":"computational","kind":"quantum_state","label":"Final state: local and joint evidence","name":"quantum_state_evidence","origin":"numerical_state","qubit_order":"little_endian","seed":0,"source":"artifact:final_states_json#/final_density_matrix","tolerance":1e-08,"units":"dimensionless"}
Retained values: {"eigenvalues_hermitian_part":[0.0017597830734751502,0.0018051912018288993,0.00200773614747285,0.0023263851376208898,0.0023263851376208997,0.0023826390360256085,0.0025331400228729203,0.002533140022872933,0.0029303221768851484,0.002930322176885164,0.002950236130655672,0.0029969841110372417,0.0031013635647879883,0.003101363564787993,0.0031842125459905514,0.0031842125459905653,0.0034022465679858747,0.003475412326881394,0.0036278643268255655,0.0036278643268255824,0.004010121489165935,0.0041587016487025525,0.0041587016487025594,0.0045259111352984865,0.004766391270265044,0.00490464230599303,0.004904642305993053,0.0049905620716987845,0.004990562071698797,0.005147820198937891,0.005498721478930437,0.005498721478930447,0.006531017225272484,0.0065310172252725,0.006536585606091658,0.007266894797001269,0.007266894797001277,0.0072859050329310325,0.007990841001970256,0.007990841001970273,0.008444637251143972,0.009567657767202213,0.00956765776720223,0.010508773292995734,0.01050877329299575,0.011355402453182405,0.01217495311631568,0.01437663796997014,0.016177108973273974,0.01617710897327401,0.01696882622730026,0.01696882622730029,0.01896309217455655,0.01940734192383385,0.021157928733984283,0.021157928733984307,0.02388295334903297,0.023882953349032995,0.03070551523535204,0.030705515235352077,0.03470095851583237,0.05639798670317471,0.06494939112933491,0.330149771667211],"entanglement":{"conclusion":"entanglement_detected","negativity":0.14290060933153992,"partition":[0],"scope":"Declared bipartition of the supplied complete state"},"entropy_bits":4.4881159024954265,"entropy_convention":"Negative eigenvalues within tolerance omitted only in entropy; retained state unchanged.","local_bloch_vectors":[{"qubit":0,"x":-0.07060558306000426,"y":-0.03742103905589744,"z":-0.012959091092590747},{"qubit":1,"x":-0.0706055830600043,"y":0.037421039055897456,"z":0.012959091092590858},{"qubit":2,"x":-0.07060558306000426,"y":-0.037421039055897456,"z":-0.012959091092590858},{"qubit":3,"x":-0.07060558306000425,"y":0.037421039055897366,"z":0.012959091092590802},{"qubit":4,"x":-0.07060558306000425,"y":-0.037421039055897436,"z":-0.012959091092590747},{"qubit":5,"x":-0.07060558306000425,"y":0.03742103905589743,"z":0.012959091092590691}],"num_qubits":6,"observables":{},"pauli_string_order":"qubit_index","purity":0.12517587767558147,"qubit_order":"little_endian","reduced_basis_order":"Listed qubits from most significant to least significant tensor factor","reduced_states":[{"matrix":{"imag":[[7.180128887285253e-17,0.018710519527948714],[-0.01871051952794873,1.1424780392566003e-17]],"real":[[0.4935204544537023,-0.03530279153000216],[-0.035302791530002105,0.506479545546293]]},"purity":0.5032767102826015,"qubits":[0]},{"matrix":{"imag":[[8.117963766485214e-17,-0.01871051952794874],[0.018710519527948714,2.0464316005663896e-18]],"real":[[0.5064795455462932,-0.035302791530002146],[-0.03530279153000215,0.4935204544537023]]},"purity":0.5032767102826016,"qubits":[1]},{"matrix":{"imag":[[4.388308293135079e-17,0.01871051952794873],[-0.018710519527948725,3.934298633406774e-17]],"real":[[0.4935204544537023,-0.03530279153000217],[-0.0353027915300021,0.5064795455462932]]},"purity":0.5032767102826016,"qubits":[2]},{"matrix":{"imag":[[1.7428549922704484e-17,-0.018710519527948697],[0.01871051952794867,6.579751934271405e-17]],"real":[[0.5064795455462932,-0.03530279153000212],[-0.03530279153000213,0.49352045445370235]]},"purity":0.5032767102826016,"qubits":[3]},{"matrix":{"imag":[[3.2824220771998647e-17,0.018710519527948673],[-0.018710519527948763,5.040184849341989e-17]],"real":[[0.4935204544537024,-0.03530279153000213],[-0.035302791530002126,0.5064795455462932]]},"purity":0.5032767102826017,"qubits":[4]},{"matrix":{"imag":[[4.389663545850686e-17,-0.01871051952794871],[0.018710519527948718,3.9329433806911673e-17]],"real":[[0.506479545546293,-0.03530279153000214],[-0.03530279153000212,0.49352045445370235]]},"purity":0.5032767102826015,"qubits":[5]}],"representation":"density_matrix","trace":{"imag":8.322606926541853e-17,"real":0.9999999999999956}}
Open to inspect exact retained JSON. The figure JSON in report.zip is also available without scripting.
Ideal-state overlap fidelity versus cycle
Ideal-state overlap fidelity versus cycle decreased from 1 to 0.32874773 over 9 recorded samples. The largest absolute step was 0.13794474 between x=0 and x=1.
Claim scope: descriptive
Method: floquet_cycle_series
Method metadata: {"kind":"floquet_cycle_series","label":"Ideal-state overlap fidelity versus cycle","name":"fidelity_series","seed":0,"source":"/series/0","units":"dimensionless","x_label":"Completed cycle"}
Evidence: ["/series/0"]
Retained values: {"change":-0.6712522652665734,"count":9,"final":0.32874773473342656,"initial":1.0,"largest_step":{"change":-0.137944736401303,"from_x":0.0,"to_x":1.0},"linear_fit":{"intercept":0.9488826644602968,"interpretation":"Descriptive least squares; no independence, causality or forecast claim","r_squared":0.9825566637362871,"rmse":0.028562218739781296,"slope":-0.08302360680298758},"maximum":1.0,"mean":0.6167882372483464,"minimum":0.32874773473342656,"population_std":0.2162604808632089,"x_strictly_increasing":true}
Finding and evidence record
{
"id": "floquet_cycle_series:fidelity_series",
"title": "Ideal-state overlap fidelity versus cycle",
"method": "floquet_cycle_series",
"text": "Ideal-state overlap fidelity versus cycle decreased from 1 to 0.32874773 over 9 recorded samples. The largest absolute step was 0.13794474 between x=0 and x=1.",
"values": {
"count": 9,
"initial": 1.0,
"final": 0.32874773473342656,
"change": -0.6712522652665734,
"minimum": 0.32874773473342656,
"maximum": 1.0,
"mean": 0.6167882372483464,
"population_std": 0.2162604808632089,
"x_strictly_increasing": true,
"largest_step": {
"from_x": 0.0,
"to_x": 1.0,
"change": -0.137944736401303
},
"linear_fit": {
"slope": -0.08302360680298758,
"intercept": 0.9488826644602968,
"rmse": 0.028562218739781296,
"r_squared": 0.9825566637362871,
"interpretation": "Descriptive least squares; no independence, causality or forecast claim"
}
},
"scope": "descriptive",
"evidence": [
"/series/0"
],
"checks": [],
"metadata": {
"name": "fidelity_series",
"kind": "floquet_cycle_series",
"source": "/series/0",
"label": "Ideal-state overlap fidelity versus cycle",
"x_label": "Completed cycle",
"units": "dimensionless",
"seed": 0
},
"authority": "private_extension",
"status": "complete",
"execution_step": "floquet_cycle_series:fidelity_series",
"capability_sha256": "6d38596b5438da60dd98309a74a45cc59b3c2aa21be531c9eaa5a722ea8b8466"
}
Open to inspect exact retained JSON. The figure JSON in report.zip is also available without scripting.
Half-system entropy (bits) versus cycle
Half-system entropy (bits) versus cycle increased from -0 to 2.7172784 over 9 recorded samples. The largest absolute step was 0.95079117 between x=1 and x=2.
Claim scope: descriptive
Method: floquet_cycle_series
Method metadata: {"kind":"floquet_cycle_series","label":"Half-system entropy (bits) versus cycle","name":"half_entropy_bits_series","seed":0,"source":"/series/4","units":"bits","x_label":"Completed cycle"}
Evidence: ["/series/4"]
Retained values: {"change":2.717278417041989,"count":9,"final":2.717278417041989,"initial":-0.0,"largest_step":{"change":0.9507911728658407,"from_x":1.0,"to_x":2.0},"linear_fit":{"intercept":0.477142875815447,"interpretation":"Descriptive least squares; no independence, causality or forecast claim","r_squared":0.8653327843500797,"rmse":0.34336879585870905,"slope":0.33710647436085966},"maximum":2.717278417041989,"mean":1.8255687732588857,"minimum":-0.0,"population_std":0.935685469059726,"x_strictly_increasing":true}
Finding and evidence record
{
"id": "floquet_cycle_series:half_entropy_bits_series",
"title": "Half-system entropy (bits) versus cycle",
"method": "floquet_cycle_series",
"text": "Half-system entropy (bits) versus cycle increased from -0 to 2.7172784 over 9 recorded samples. The largest absolute step was 0.95079117 between x=1 and x=2.",
"values": {
"count": 9,
"initial": -0.0,
"final": 2.717278417041989,
"change": 2.717278417041989,
"minimum": -0.0,
"maximum": 2.717278417041989,
"mean": 1.8255687732588857,
"population_std": 0.935685469059726,
"x_strictly_increasing": true,
"largest_step": {
"from_x": 1.0,
"to_x": 2.0,
"change": 0.9507911728658407
},
"linear_fit": {
"slope": 0.33710647436085966,
"intercept": 0.477142875815447,
"rmse": 0.34336879585870905,
"r_squared": 0.8653327843500797,
"interpretation": "Descriptive least squares; no independence, causality or forecast claim"
}
},
"scope": "descriptive",
"evidence": [
"/series/4"
],
"checks": [],
"metadata": {
"name": "half_entropy_bits_series",
"kind": "floquet_cycle_series",
"source": "/series/4",
"label": "Half-system entropy (bits) versus cycle",
"x_label": "Completed cycle",
"units": "bits",
"seed": 0
},
"authority": "private_extension",
"status": "complete",
"execution_step": "floquet_cycle_series:half_entropy_bits_series",
"capability_sha256": "6d38596b5438da60dd98309a74a45cc59b3c2aa21be531c9eaa5a722ea8b8466"
}
Open to inspect exact retained JSON. The figure JSON in report.zip is also available without scripting.
Mean Z magnetization versus cycle
Mean Z magnetization versus cycle decreased from 0 to -3.2959746e-17 over 9 recorded samples. The largest absolute step was 6.0715322e-17 between x=7 and x=8.
Claim scope: descriptive
Method: floquet_cycle_series
Method metadata: {"kind":"floquet_cycle_series","label":"Mean Z magnetization versus cycle","name":"magnetization_series","seed":0,"source":"/series/2","units":"dimensionless","x_label":"Completed cycle"}
Evidence: ["/series/2"]
Retained values: {"change":-3.2959746043559335e-17,"count":9,"final":-3.2959746043559335e-17,"initial":0.0,"largest_step":{"change":-6.071532165918825e-17,"from_x":7.0,"to_x":8.0},"linear_fit":{"intercept":-3.8067542945046596e-18,"interpretation":"Descriptive least squares; no independence, causality or forecast claim","r_squared":0.0006753782117986384,"rmse":2.153646453830085e-17,"slope":2.168404344971009e-19},"maximum":3.23815048849004e-17,"mean":-2.939392556516256e-18,"minimum":-3.2959746043559335e-17,"population_std":2.1543740853661175e-17,"x_strictly_increasing":true}
Finding and evidence record
{
"id": "floquet_cycle_series:magnetization_series",
"title": "Mean Z magnetization versus cycle",
"method": "floquet_cycle_series",
"text": "Mean Z magnetization versus cycle decreased from 0 to -3.2959746e-17 over 9 recorded samples. The largest absolute step was 6.0715322e-17 between x=7 and x=8.",
"values": {
"count": 9,
"initial": 0.0,
"final": -3.2959746043559335e-17,
"change": -3.2959746043559335e-17,
"minimum": -3.2959746043559335e-17,
"maximum": 3.23815048849004e-17,
"mean": -2.939392556516256e-18,
"population_std": 2.1543740853661175e-17,
"x_strictly_increasing": true,
"largest_step": {
"from_x": 7.0,
"to_x": 8.0,
"change": -6.071532165918825e-17
},
"linear_fit": {
"slope": 2.168404344971009e-19,
"intercept": -3.8067542945046596e-18,
"rmse": 2.153646453830085e-17,
"r_squared": 0.0006753782117986384,
"interpretation": "Descriptive least squares; no independence, causality or forecast claim"
}
},
"scope": "descriptive",
"evidence": [
"/series/2"
],
"checks": [],
"metadata": {
"name": "magnetization_series",
"kind": "floquet_cycle_series",
"source": "/series/2",
"label": "Mean Z magnetization versus cycle",
"x_label": "Completed cycle",
"units": "dimensionless",
"seed": 0
},
"authority": "private_extension",
"status": "complete",
"execution_step": "floquet_cycle_series:magnetization_series",
"capability_sha256": "6d38596b5438da60dd98309a74a45cc59b3c2aa21be531c9eaa5a722ea8b8466"
}
Open to inspect exact retained JSON. The figure JSON in report.zip is also available without scripting.
Mutual information (bits) versus cycle
Mutual information (bits) versus cycle increased from 0 to 0.94644093 over 9 recorded samples. The largest absolute step was 1.2691126 between x=1 and x=2.
Claim scope: descriptive
Method: floquet_cycle_series
Method metadata: {"kind":"floquet_cycle_series","label":"Mutual information (bits) versus cycle","name":"mutual_information_bits_series","seed":0,"source":"/series/5","units":"bits","x_label":"Completed cycle"}
Evidence: ["/series/5"]
Retained values: {"change":0.9464409315885511,"count":9,"final":0.9464409315885511,"initial":0.0,"largest_step":{"change":1.2691125614981213,"from_x":1.0,"to_x":2.0},"linear_fit":{"intercept":0.527353935997108,"interpretation":"Descriptive least squares; no independence, causality or forecast claim","r_squared":0.3010907245300495,"rmse":0.4869532585920153,"slope":0.1237859038745936},"maximum":1.6888479237804663,"mean":1.0224975514954824,"minimum":0.0,"population_std":0.5824744423924392,"x_strictly_increasing":true}
Finding and evidence record
{
"id": "floquet_cycle_series:mutual_information_bits_series",
"title": "Mutual information (bits) versus cycle",
"method": "floquet_cycle_series",
"text": "Mutual information (bits) versus cycle increased from 0 to 0.94644093 over 9 recorded samples. The largest absolute step was 1.2691126 between x=1 and x=2.",
"values": {
"count": 9,
"initial": 0.0,
"final": 0.9464409315885511,
"change": 0.9464409315885511,
"minimum": 0.0,
"maximum": 1.6888479237804663,
"mean": 1.0224975514954824,
"population_std": 0.5824744423924392,
"x_strictly_increasing": true,
"largest_step": {
"from_x": 1.0,
"to_x": 2.0,
"change": 1.2691125614981213
},
"linear_fit": {
"slope": 0.1237859038745936,
"intercept": 0.527353935997108,
"rmse": 0.4869532585920153,
"r_squared": 0.3010907245300495,
"interpretation": "Descriptive least squares; no independence, causality or forecast claim"
}
},
"scope": "descriptive",
"evidence": [
"/series/5"
],
"checks": [],
"metadata": {
"name": "mutual_information_bits_series",
"kind": "floquet_cycle_series",
"source": "/series/5",
"label": "Mutual information (bits) versus cycle",
"x_label": "Completed cycle",
"units": "bits",
"seed": 0
},
"authority": "private_extension",
"status": "complete",
"execution_step": "floquet_cycle_series:mutual_information_bits_series",
"capability_sha256": "6d38596b5438da60dd98309a74a45cc59b3c2aa21be531c9eaa5a722ea8b8466"
}
Open to inspect exact retained JSON. The figure JSON in report.zip is also available without scripting.
Purity versus cycle
Purity versus cycle decreased from 1 to 0.12517588 over 9 recorded samples. The largest absolute step was 0.25392928 between x=0 and x=1.
Claim scope: descriptive
Method: floquet_cycle_series
Method metadata: {"kind":"floquet_cycle_series","label":"Purity versus cycle","name":"purity_series","seed":0,"source":"/series/1","units":"dimensionless","x_label":"Completed cycle"}
Evidence: ["/series/1"]
Retained values: {"change":-0.8748241223244186,"count":9,"final":0.1251758776755814,"initial":1.0,"largest_step":{"change":-0.2539292810882079,"from_x":0.0,"to_x":1.0},"linear_fit":{"intercept":0.8550136827501774,"interpretation":"Descriptive least squares; no independence, causality or forecast claim","r_squared":0.9265995371482,"rmse":0.07574534117002014,"slope":-0.10423130992806258},"maximum":1.0,"mean":0.4380884430379271,"minimum":0.1251758776755814,"population_std":0.2795802744074797,"x_strictly_increasing":true}
Finding and evidence record
{
"id": "floquet_cycle_series:purity_series",
"title": "Purity versus cycle",
"method": "floquet_cycle_series",
"text": "Purity versus cycle decreased from 1 to 0.12517588 over 9 recorded samples. The largest absolute step was 0.25392928 between x=0 and x=1.",
"values": {
"count": 9,
"initial": 1.0,
"final": 0.1251758776755814,
"change": -0.8748241223244186,
"minimum": 0.1251758776755814,
"maximum": 1.0,
"mean": 0.4380884430379271,
"population_std": 0.2795802744074797,
"x_strictly_increasing": true,
"largest_step": {
"from_x": 0.0,
"to_x": 1.0,
"change": -0.2539292810882079
},
"linear_fit": {
"slope": -0.10423130992806258,
"intercept": 0.8550136827501774,
"rmse": 0.07574534117002014,
"r_squared": 0.9265995371482,
"interpretation": "Descriptive least squares; no independence, causality or forecast claim"
}
},
"scope": "descriptive",
"evidence": [
"/series/1"
],
"checks": [],
"metadata": {
"name": "purity_series",
"kind": "floquet_cycle_series",
"source": "/series/1",
"label": "Purity versus cycle",
"x_label": "Completed cycle",
"units": "dimensionless",
"seed": 0
},
"authority": "private_extension",
"status": "complete",
"execution_step": "floquet_cycle_series:purity_series",
"capability_sha256": "6d38596b5438da60dd98309a74a45cc59b3c2aa21be531c9eaa5a722ea8b8466"
}
Open to inspect exact retained JSON. The figure JSON in report.zip is also available without scripting.
Mean nearest-neighbor ZZ correlation versus cycle
Mean nearest-neighbor ZZ correlation versus cycle increased from -1 to -0.27101651 over 9 recorded samples. The largest absolute step was 0.97743231 between x=0 and x=1.
Claim scope: descriptive
Method: floquet_cycle_series
Method metadata: {"kind":"floquet_cycle_series","label":"Mean nearest-neighbor ZZ correlation versus cycle","name":"zz_correlation_series","seed":0,"source":"/series/3","units":"dimensionless","x_label":"Completed cycle"}
Evidence: ["/series/3"]
Retained values: {"change":0.728983490608371,"count":9,"final":-0.271016509391629,"initial":-1.0,"largest_step":{"change":0.9774323081898132,"from_x":0.0,"to_x":1.0},"linear_fit":{"intercept":-0.5540076221093605,"interpretation":"Descriptive least squares; no independence, causality or forecast claim","r_squared":0.19696717898869265,"rmse":0.22360472816112847,"slope":0.04289008397984963},"maximum":-0.02256769181018684,"mean":-0.382447286189962,"minimum":-1.0,"population_std":0.2495251553411049,"x_strictly_increasing":true}
Finding and evidence record
{
"id": "floquet_cycle_series:zz_correlation_series",
"title": "Mean nearest-neighbor ZZ correlation versus cycle",
"method": "floquet_cycle_series",
"text": "Mean nearest-neighbor ZZ correlation versus cycle increased from -1 to -0.27101651 over 9 recorded samples. The largest absolute step was 0.97743231 between x=0 and x=1.",
"values": {
"count": 9,
"initial": -1.0,
"final": -0.271016509391629,
"change": 0.728983490608371,
"minimum": -1.0,
"maximum": -0.02256769181018684,
"mean": -0.382447286189962,
"population_std": 0.2495251553411049,
"x_strictly_increasing": true,
"largest_step": {
"from_x": 0.0,
"to_x": 1.0,
"change": 0.9774323081898132
},
"linear_fit": {
"slope": 0.04289008397984963,
"intercept": -0.5540076221093605,
"rmse": 0.22360472816112847,
"r_squared": 0.19696717898869265,
"interpretation": "Descriptive least squares; no independence, causality or forecast claim"
}
},
"scope": "descriptive",
"evidence": [
"/series/3"
],
"checks": [],
"metadata": {
"name": "zz_correlation_series",
"kind": "floquet_cycle_series",
"source": "/series/3",
"label": "Mean nearest-neighbor ZZ correlation versus cycle",
"x_label": "Completed cycle",
"units": "dimensionless",
"seed": 0
},
"authority": "private_extension",
"status": "complete",
"execution_step": "floquet_cycle_series:zz_correlation_series",
"capability_sha256": "6d38596b5438da60dd98309a74a45cc59b3c2aa21be531c9eaa5a722ea8b8466"
}
Retained values: {"cluster_centers_standardized":[[-1.161895003862225,1.2168710526900037,1.2431780264353949,-0.507729615093254,-0.518696700642306,-1.258386195237559,-1.0291610882254365],[0.5809475019311126,-0.6084355263450029,-0.6215890132176972,0.25386480754662694,0.2593483503211534,0.6291930976187794,0.5145805441127181]],"cluster_labels":[0,0,0,1,1,1,1,1,1],"clustering_parallelism":"One numeric thread during fit and assignment to control reduction-order variability","constant_or_numerically_constant_features":[],"degenerate_component_axes":false,"distinct_rows":9,"excluded_nonnumeric_columns":[],"explained_variance_ratio":[0.675484190209187,0.16992407458337686],"feature_selection":"legacy numeric-column inference","features":["cycle","fidelity","purity","magnetization","zz_correlation","half_entropy_bits","mutual_information_bits"],"fitted_clusters":2,"inertia":29.0438516003919,"iterations":3,"means":[4.0,0.6167882372483464,0.43808844303792704,-2.9393925565162564e-18,-0.3824472861899621,1.8255687732588857,1.0224975514954824],"occupied_clusters":2,"principal_loadings":[[-0.43425184138515743,0.4499237088289271,0.45879766691951934,-0.048278110740013,-0.2592242990165585,-0.456250549248651,-0.34757174575831384],[-0.07042571465632938,0.04694866448450779,0.022947229238742584,0.8190479421950594,-0.4621383054269723,0.06739337536215163,0.32149067527527314]],"rank":7,"requested_clusters":2,"restart_adjusted_rand_indices":[0.5555555555555556,1.0,0.5555555555555556],"sample_count":9,"scales":[2.581988897471611,0.2162604808632089,0.2795802744074797,2.1543740853661175e-17,0.24952515534110487,0.9356854690597259,0.5824744423924393],"seed":0,"silhouette":0.3915902164683831,"stability_scope":"Optimization restart sensitivity only; not resampling or external replication.","validation":"Exploratory fit to these rows; no held-out prediction claim or inferred physical regimes"}
View selection: Shows observations without implying an ordered trajectory or interpolation. Alternatives: No equivalent registered encoding.
Activate this chart to inspect retained values.
Selected observations: none
Static export view and text alternative
{
"id": "figure-007",
"finding_id": "multivariate:observables",
"kind": "scatter",
"title": "Principal-component exploration",
"data_sha256": "e787752994e62e9a65921608d3bad9899b3fe338d86959c2ea6d2252b928869c",
"source": "/tables/0",
"source_kind": "unverified_import",
"component_origins": {},
"acquisition_origin": null,
"method": "multivariate",
"evidence": [
"/tables/0"
],
"units": {
"x": "dimensionless",
"y": "dimensionless"
},
"coordinates": {},
"basis": null,
"frame": null,
"transform": "Observed features standardized by their retained means/scales, then projected on retained PCA loadings",
"aggregation": "none by renderer",
"downsampling": "none",
"x_scale": "linear",
"y_scale": "linear",
"selected_frame": null,
"frame_labels": [],
"frame_observation_ids": [],
"interpolation": "none; only retained frames",
"link_group": null,
"observation_ids": [],
"selection_reason": "Shows observations without implying an ordered trajectory or interpolation.",
"alternatives": [],
"selection_constraints": "No aggregation, fitting, interpolation, invented uncertainty or changed scientific checks.",
"placement": "main",
"display_view": {},
"files": [
"figures/figure-007.json",
"figures/figure-007.svg",
"figures/figure-007.png"
]
}
Exact retained values and source
Open to inspect exact retained JSON. The figure JSON in report.zip is also available without scripting.
observables — exact retained values
observables
Evidence
cycle
fidelity
purity
magnetization
zz_correlation
half_entropy_bits
mutual_information_bits
Reporting issues and supplementary literature
None recorded.
Methods and execution provenance
Provenance: {"execution_origin":"fresh local r34 Python workflow/API run","run_config_sha256":"94885974030d094329aceeae55890eb8c8c548ac2e29b0a07dea8105b8196767","workflow_sha256":"61bc7f80e0f9201ee782a7c1ee52811955b1fe36842e85f500ea2978da1a47e4"}
Reporting requirements: {"analysis":{"mode":"exploratory","question":"How do the retained Floquet dynamics and final quantum state compare with the declared ideal evolution?"},"datasets":[{"basis":"Computational basis; little-endian integer indexing, q0 least significant","kind":"density_matrix","name":"final_density_matrix","source":"artifact:final_states_json#/final_density_matrix","tolerance":1e-08},{"kind":"floquet_cycle_series","label":"Ideal-state overlap fidelity versus cycle","name":"fidelity_series","source":"/series/0","units":"dimensionless","x_label":"Completed cycle"},{"kind":"floquet_cycle_series","label":"Purity versus cycle","name":"purity_series","source":"/series/1","units":"dimensionless","x_label":"Completed cycle"},{"kind":"floquet_cycle_series","label":"Mean Z magnetization versus cycle","name":"magnetization_series","source":"/series/2","units":"dimensionless","x_label":"Completed cycle"},{"kind":"floquet_cycle_series","label":"Mean nearest-neighbor ZZ correlation versus cycle","name":"zz_correlation_series","source":"/series/3","units":"dimensionless","x_label":"Completed cycle"},{"kind":"floquet_cycle_series","label":"Half-system entropy (bits) versus cycle","name":"half_entropy_bits_series","source":"/series/4","units":"bits","x_label":"Completed cycle"},{"kind":"floquet_cycle_series","label":"Mutual information (bits) versus cycle","name":"mutual_information_bits_series","source":"/series/5","units":"bits","x_label":"Completed cycle"},{"kind":"floquet_topology","label":"Executed interaction edges","name":"interaction_topology","source":"/data/edges"},{"basis":"computational","kind":"quantum_state","label":"Final state: local and joint evidence","name":"quantum_state_evidence","origin":"numerical_state","qubit_order":"little_endian","source":"artifact:final_states_json#/final_density_matrix","tolerance":1e-08,"units":"dimensionless"},{"basis":"computational","kind":"quantum_checkpoints","label":"Calculated reduced q0 state checkpoints","link_group":"floquet-cycles","name":"reduced_q0_checkpoints","observables":["Z"],"origin":"numerical_state","qubit_order":"little_endian","source":"/data/reduced_q0_checkpoints","tolerance":1e-08,"units":"dimensionless"}],"extensions":["reporting.py:configure"],"intent":"Floquet spin-chain results","presentation":{"audience":"technical"},"require":["matrix:final_density_matrix","quantum_state:quantum_state_evidence","quantum_checkpoints:reduced_q0_checkpoints"],"schema_version":2}
Analysis decisions: [{"analysis":"floquet_cycle_series:fidelity_series","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"floquet_cycle_series:purity_series","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"floquet_cycle_series:magnetization_series","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"floquet_cycle_series:zz_correlation_series","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"floquet_cycle_series:half_entropy_bits_series","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"floquet_cycle_series:mutual_information_bits_series","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"multivariate:observables","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"scalar:fidelity","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"scalar:purity","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"scalar:magnetization","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"scalar:zz_correlation","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"scalar:half_entropy_bits","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"scalar:mutual_information_bits","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"matrix:final_density_matrix","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"floquet_topology:interaction_topology","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"quantum_state:quantum_state_evidence","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"},{"analysis":"quantum_checkpoints:reduced_q0_checkpoints","reason":"Bound scientific inputs and registered capability checks completed","status":"applied"}]
Display policy: Exact retained JSON values; axis ticks and optional scientific notation are display formatting only
