{"id":"https://openalex.org/W4415031028","doi":"https://doi.org/10.48550/arxiv.2505.02269","title":"Information geometry and entanglement under phase-space deformation through nonsymplectic congruence transformation","display_name":"Information geometry and entanglement under phase-space deformation through nonsymplectic congruence transformation","publication_year":2025,"publication_date":"2025-05-04","ids":{"openalex":"https://openalex.org/W4415031028","doi":"https://doi.org/10.48550/arxiv.2505.02269"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2505.02269","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2505.02269","pdf_url":"https://arxiv.org/pdf/2505.02269","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2505.02269","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102602952","display_name":"Shilpa Nandi","orcid":"https://orcid.org/0009-0009-9129-4705","observed_orcids":["https://orcid.org/0009-0009-9129-4705"]},"institutions":[{"id":"https://openalex.org/I26604189","display_name":"Shiv Nadar University","ror":"https://ror.org/05aqahr97","country_code":"IN","type":"education","lineage":["https://openalex.org/I26604189"]},{"id":"https://openalex.org/I4405277791","display_name":"Brahmananda Keshab Chandra College","ror":"https://ror.org/03xd28271","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405277791"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nandi, Shilpa","raw_affiliation_strings":[") Department of Physics , Brahmananda Keshab Chandra College , 111/2 B. T. Road , Kolkata , India -700108",") Department of Physics , Shiv Nadar University , Noida , Greater Noida , Uttar Pradesh , India - 201314"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":") Department of Physics , Brahmananda Keshab Chandra College , 111/2 B. T. Road , Kolkata , India -700108","institution_ids":["https://openalex.org/I4405277791"]},{"raw_affiliation_string":") Department of Physics , Shiv Nadar University , Noida , Greater Noida , Uttar Pradesh , India - 201314","institution_ids":["https://openalex.org/I26604189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016431709","display_name":"Pinaki Patra","orcid":"https://orcid.org/0000-0002-9736-0306","observed_orcids":["https://orcid.org/0000-0002-9736-0306"]},"institutions":[{"id":"https://openalex.org/I4405277791","display_name":"Brahmananda Keshab Chandra College","ror":"https://ror.org/03xd28271","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405277791"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Patra, Pinaki","raw_affiliation_strings":[") Department of Physics , Brahmananda Keshab Chandra College , 111/2 B. T. Road , Kolkata , India -700108"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":") Department of Physics , Brahmananda Keshab Chandra College , 111/2 B. T. Road , Kolkata , India -700108","institution_ids":["https://openalex.org/I4405277791"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.5029000043869019,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.5029000043869019,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.26489999890327454,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.1784999966621399,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/information-geometry","display_name":"information geometry","score":0.796999990940094},{"id":"https://openalex.org/keywords/fisher-information-metric","display_name":"Fisher information metric","score":0.9620000123977661},{"id":"https://openalex.org/keywords/entanglement","display_name":"entanglement","score":0.7329999804496765},{"id":"https://openalex.org/keywords/bopp-shift","display_name":"Bopp shift","score":0.6959999799728394},{"id":"https://openalex.org/keywords/noncommutative-phase-space","display_name":"noncommutative phase space","score":0.9490000009536743},{"id":"https://openalex.org/keywords/gaussian-states","display_name":"Gaussian states","score":0.8650000095367432},{"id":"https://openalex.org/keywords/symplectic-eigenvalues","display_name":"symplectic eigenvalues","score":0.8700000047683716},{"id":"https://openalex.org/keywords/quantum-correlations","display_name":"quantum correlations","score":0.5770000219345093}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7315999865531921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.684499979019165},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.560699999332428},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5490000247955322},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.49470001459121704},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.44749999046325684},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4115999937057495},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40540000796318054},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.35530000925064087},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3407999873161316},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.33169999718666077},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3310000002384186},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.3156000077724457},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.30570000410079956},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.305400013923645},{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2903999984264374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29030001163482666},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.27810001373291016},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.26600000262260437},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C206003972","wikidata":"https://www.wikidata.org/wiki/Q5380097","display_name":"Entanglement witness","level":5,"score":0.2547999918460846},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2529999911785126},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2505.02269","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2505.02269","pdf_url":"https://arxiv.org/pdf/2505.02269","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2505.02269","doi":"https://doi.org/10.48550/arxiv.2505.02269","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.02269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2505.02269","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2505.02269","pdf_url":"https://arxiv.org/pdf/2505.02269","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415031028.pdf","grobid_xml":"https://content.openalex.org/works/W4415031028.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,14,142],"Fisher-Rao":[1],"(FR)":[2],"information":[3],"matrix":[4],"is":[5],"a":[6,17,121],"central":[7],"object":[8],"in":[9,41,63,97,112,174],"multiparameter":[10],"quantum":[11,18,34,154,164],"estimation":[12,123],"theory.":[13],"geometry":[15,161],"of":[16,83,103,114,127,144,159,162,169,172],"state":[19],"can":[20,109],"be":[21,110],"envisaged":[22],"through":[23,139],"the":[24,29,33,45,52,61,64,71,77,80,107,125,131,136,160,167],"Riemannian":[25],"manifold":[26],"generated":[27],"by":[28],"FR-metric":[30],"corresponding":[31],"to":[32,90],"state.":[35],"Interestingly,":[36],"any":[37],"congruence":[38],"transformation":[39,74],"$GL(2n,\\mathbb{R})$":[40],"phase":[42,98],"space":[43,99],"leaves":[44],"FR-distance":[46],"for":[47,124],"Gaussian":[48,163],"states":[49],"invariant.":[50],"In":[51],"present":[53],"paper,":[54],"we":[55,93,176],"investigate":[56],"whether":[57],"this":[58],"isometry":[59],"affects":[60],"entanglement":[62,138,148],"bipartite":[65],"system.":[66],"It":[67],"turns":[68],"out":[69],"that":[70,106,150],"entanglement-generating":[72],"congruent":[73],"depends":[75],"upon":[76],"system":[78],"and":[79,134,153],"symplectic":[81,128],"structure":[82],"phase-space.":[84],"To":[85],"make":[86],"our":[87,178],"study":[88],"relevant":[89],"physical":[91],"systems,":[92],"choose":[94],"Bopp's":[95],"shift":[96],"as":[100],"an":[101],"example":[102],"$GL(2n,\\mathbb{R})$,":[104],"so":[105],"results":[108,179],"interpreted":[111],"terms":[113],"noncommutative":[115],"(NC)":[116],"phase-space":[117,140],"deformation.":[118,141],"We":[119],"provide":[120],"quantitative":[122],"dependence":[126],"eigenvalues":[129],"on":[130],"deformation":[132],"parameters":[133],"explain":[135],"induced":[137],"coexistence":[143],"FR-isometry":[145],"with":[146],"deformation-dependent":[147],"demonstrates":[149],"statistical":[151],"distinguishability":[152],"correlations":[155],"constitute":[156],"complementary":[157],"aspects":[158],"systems.":[165],"With":[166],"help":[168],"toy":[170],"models":[171],"oscillators":[173],"NC-space,":[175],"illustrate":[177],"quantitatively.":[180]},"counts_by_year":[],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2025-10-10T00:00:00"}
