{"experiment_id":"graphene-complementary-frequency-dense-matmul","revision":1,"title":"Graphene complementary-frequency dense matrix multiplication","experiment_kind":"physical","intent":"discrimination","status":"illustrative-unadmitted","targets":[{"target_id":"graphene-complementary-frequency-matmul","target_kind":"external-reference","target_revision":null,"target_label":"operator-supplied graphene frequency-domain calculation proposal"}],"protocols":[{"protocol_id":"graphene-matmul-minimal-protocol","name":"Complementary-frequency identity test","minimal_decisive_test":"Encode two finite matrices into complementary optical frequencies, measure the nonlinear mixing output, and compare against an independently computed dense product under randomized phase and amplitude controls.","steps":["Calibrate frequency response and detector linearity.","Inject matrix-coded complementary-frequency fields.","Acquire raw complex spectra and decode the candidate product.","Repeat with shuffled, phase-scrambled, and zero-row controls."],"decision_rule":"The candidate survives only if decoded entries track the exact reference product within the predeclared error budget and controls reject linear leakage explanations.","boundary":"The test covers only the declared matrix size, frequency band, material stack, and detector reconstruction."}],"controls":[{"control_id":"graphene-zero-row","control_kind":"negative","description":"One operand row is zeroed.","controlled_variable":"input row","expected_relation":"Corresponding product contribution should vanish."},{"control_id":"graphene-linear-leakage","control_kind":"ablated","description":"Remove the nonlinear interaction region while preserving the readout path.","controlled_variable":"nonlinear interaction","expected_relation":"Dense product signature should disappear or fall below threshold."}],"observables":[{"observable_id":"graphene-product-error","name":"relative matrix product error","units":"dimensionless","measurement":"normed decoded-versus-reference entries","aggregation":"per matrix and entry","uncertainty_reporting":"report detector noise and calibration propagation"},{"observable_id":"graphene-frequency-crosstalk","name":"frequency crosstalk","units":"dB","measurement":"out-of-band and off-entry spectral power","aggregation":"per run","uncertainty_reporting":"report resolution and leakage floor"}],"calibration":[{"calibration_id":"graphene-detector-linearity","quantity":"detector responsivity","units":"A/W","method":"traceable power sweep across the operating band","acceptance":"residual linearity error below the product error budget"}],"repetitions":{"replicate_unit":"independent matrix encoding","minimum_repetitions":20,"independent_repetitions":5,"randomization":"matrix entries, phases, and order randomized","stopping_rule":"complete all matrix blocks unless safety or detector saturation stop is reached"},"uncertainty":{"sources":"laser phase noise, detector noise, frequency drift, nonlinear material variation","propagation":"Monte Carlo the calibrated input covariance through decode and norm","reporting":"publish matrices, raw spectra, calibration files, and exact oracle output"},"success_criteria":[{"criterion_id":"graphene-success-product","statement":"Decoded output agrees with the exact dense product within the predeclared error budget.","metric":"relative Frobenius error","comparator":"<=","threshold_text":"predeclared budget","units":"dimensionless"}],"falsifiers":[{"criterion_id":"graphene-falsifier-ablation","statement":"The same product signature remains when the nonlinear interaction is ablated.","metric":"ablation-normalized product signal","comparator":">=","threshold_text":"predeclared leakage threshold","units":"fraction"}],"confounds":[{"confound_id":"graphene-drift","confound":"frequency drift masquerades as complementary mixing","detection_control":"interleave reference tones","mitigation":"lock and remeasure frequency calibration"}],"raw_artifacts":[{"raw_artifact_id":"graphene-raw-spectra","artifact_kind":"complex-spectrum","format":"binary spectra plus JSON metadata","retention":"retain original acquisition and decode code hash"}],"nonclaims":["No graphene material performance or scaling is admitted by this fixture.","It does not claim a universal optical matrix processor or useful energy efficiency.","No measurement is a result; this record only specifies a decisive protocol."],"equipment_requirements":[{"requirement_id":"graphene-frequency-source","group_id":"frequency-source","group_order":1,"group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"phase-stable complementary-frequency source","units":"system","specification":"declared bandwidth and phase noise","equipment_type_ids":["calibrated-optical-detector-array"]},{"requirement_id":"graphene-spectral-readout","group_id":"spectral-readout","group_order":2,"group_kind":"required","selection_rule":"any-one","quantity":1,"capability":"complex spectral readout with calibrated dynamic range","units":"system","specification":"raw spectra and linearity calibration","equipment_type_ids":["calibrated-optical-detector-array"]}],"dependencies":[],"relations":[],"topic_links":[{"link_id":"graphene-topic-link","topic_version_id":"illustrative-optical-defect-graph-measurement-validity@1","relation_kind":"candidate-protocol","rationale":"The topic supplies a bounded optical measurement boundary for the proposed frequency-domain test."}],"provenance":{"citation_availability":"available","citations":[{"source_id":"graphene-flagship-context","label":"Graphene Flagship research context","url":"https://graphene-flagship.eu/"}],"boundary":"The citation supplies graphene context only; it does not support the proposed dense multiplication claim."},"authority":"illustrative-unadmitted-fixture","source_fixture":"cintamani.illustrative-proposed-experiments.v1","canonical_admission":false,"public_d1_seed":false,"evidence_claim":false,"equipment_types":[{"equipment_type_id":"calibrated-optical-detector-array","revision":1,"title":"Calibrated phase-resolved optical detector array","description":"A capability type for complex field, spectral, or multiview optical acquisition with raw artifact retention.","capabilities":[{"capability_id":"optical-complex-readout","capability":"phase-resolved multimode optical readout","units":"complex samples","specification":"declared spatial, temporal, and dynamic-range limits"},{"capability_id":"optical-raw-retention","capability":"immutable raw acquisition retention","units":"artifact","specification":"raw frames, calibration, and synchronized metadata"}],"operating_limits":[{"operating_limit_id":"optical-detector-dynamic-range","parameter":"dynamic range","lower_bound":"declared","upper_bound":"declared","units":"dB","notes":"Saturation and clipping must be logged."}],"calibrations":[{"equipment_calibration_id":"optical-detector-linearity","quantity":"responsivity and linearity","units":"A/W","method":"traceable power sweep","traceability":"retain reference source certificate"}],"safety_requirements":[{"safety_requirement_id":"optical-laser-safety","hazard":"laser exposure","requirement":"wavelength-specific enclosure and interlock","mitigation":"controlled access and eyewear"}],"interface_requirements":[{"interface_requirement_id":"optical-detector-trigger","interface_kind":"synchronization","specification":"common clock or trigger with source and controller","units":"ns"}],"nonclaims":["This is a capability type, not a detector inventory or performance guarantee.","A calibrated detector does not validate a scientific interpretation."],"citations":[{"source_id":"optical-detector-context","label":"Optical detector capability context","url":"https://www.rp-photonics.com/photodetectors.html"}]}]}