{"id":"https://openalex.org/W4413089069","doi":"https://doi.org/10.1155/que2/7480764","title":"Entangled State Representation: From Original EPR Wave Function to Beam Splitter","display_name":"Entangled State Representation: From Original EPR Wave Function to Beam Splitter","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413089069","doi":"https://doi.org/10.1155/que2/7480764"},"language":"en","primary_location":{"id":"doi:10.1155/que2/7480764","is_oa":true,"landing_page_url":"https://doi.org/10.1155/que2/7480764","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/que2/7480764","source":{"id":"https://openalex.org/S4210208943","display_name":"Quantum Engineering","issn_l":"2577-0470","issn":["2577-0470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/que2/7480764","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112047921","display_name":"Rui He","orcid":"https://orcid.org/0000-0003-4494-9106"},"institutions":[{"id":"https://openalex.org/I4210147745","display_name":"West Anhui University","ror":"https://ror.org/046ft6c74","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147745"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rui He","raw_affiliation_strings":["School of Electrical and Photoelectronic Engineering ,  West Anhui University ,  Lu\u2019an , Anhui,  237012 ,  China ,  wxc.edu.cn"],"raw_orcid":"https://orcid.org/0000-0003-4494-9106","affiliations":[{"raw_affiliation_string":"School of Electrical and Photoelectronic Engineering ,  West Anhui University ,  Lu\u2019an , Anhui,  237012 ,  China ,  wxc.edu.cn","institution_ids":["https://openalex.org/I4210147745"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112047921"],"corresponding_institution_ids":["https://openalex.org/I4210147745"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09871692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2025","issue":"1","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":0.9998000264167786,"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":0.9998000264167786,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10490","display_name":"Orbital Angular Momentum in Optics","score":0.998199999332428,"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/beam-splitter","display_name":"Beam splitter","score":0.7224560976028442},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6500879526138306},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5881025195121765},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.5834687352180481},{"id":"https://openalex.org/keywords/paraxial-approximation","display_name":"Paraxial approximation","score":0.5833433866500854},{"id":"https://openalex.org/keywords/epr-paradox","display_name":"EPR paradox","score":0.5676068067550659},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5621163845062256},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.49912023544311523},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43924954533576965},{"id":"https://openalex.org/keywords/wave-function","display_name":"Wave function","score":0.42301154136657715},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3582511246204376},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.3320472240447998},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.226975679397583},{"id":"https://openalex.org/keywords/laser","display_name":"Laser","score":0.10008805990219116},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.0717683732509613},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06483453512191772}],"concepts":[{"id":"https://openalex.org/C19819980","wikidata":"https://www.wikidata.org/wiki/Q947542","display_name":"Beam splitter","level":3,"score":0.7224560976028442},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6500879526138306},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5881025195121765},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.5834687352180481},{"id":"https://openalex.org/C56034020","wikidata":"https://www.wikidata.org/wiki/Q1071734","display_name":"Paraxial approximation","level":3,"score":0.5833433866500854},{"id":"https://openalex.org/C171811987","wikidata":"https://www.wikidata.org/wiki/Q214975","display_name":"EPR paradox","level":4,"score":0.5676068067550659},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5621163845062256},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.49912023544311523},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43924954533576965},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.42301154136657715},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3582511246204376},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.3320472240447998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.226975679397583},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.10008805990219116},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0717683732509613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06483453512191772},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/que2/7480764","is_oa":true,"landing_page_url":"https://doi.org/10.1155/que2/7480764","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/que2/7480764","source":{"id":"https://openalex.org/S4210208943","display_name":"Quantum Engineering","issn_l":"2577-0470","issn":["2577-0470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/que2/7480764","is_oa":true,"landing_page_url":"https://doi.org/10.1155/que2/7480764","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/que2/7480764","source":{"id":"https://openalex.org/S4210208943","display_name":"Quantum Engineering","issn_l":"2577-0470","issn":["2577-0470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Engineering","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413089069.pdf","grobid_xml":"https://content.openalex.org/works/W4413089069.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1986407511","https://openalex.org/W1997441417","https://openalex.org/W2064659873","https://openalex.org/W3082747543","https://openalex.org/W3093953681","https://openalex.org/W4230411556","https://openalex.org/W4402600699"],"related_works":["https://openalex.org/W4253455536","https://openalex.org/W2786332968","https://openalex.org/W3113041729","https://openalex.org/W4254714140","https://openalex.org/W2376319826","https://openalex.org/W1987177187","https://openalex.org/W2011158516","https://openalex.org/W2351089078","https://openalex.org/W2074527078","https://openalex.org/W1969784057"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"the":[3,7,25,34,38,42,54],"state":[4,21,27,56],"vector":[5],"of":[6,10],"wave":[8],"function":[9],"Einstein,":[11],"Podolsky,":[12],"and":[13,41],"Rosen,":[14],"1935,":[15],"(EPR)":[16],"is":[17],"a":[18],"special":[19],"entangled":[20,26,55],"representation.":[22],"Then,":[23],"taking":[24],"representation":[28,57],"as":[29],"an":[30,59],"intermediary,":[31],"we":[32,49],"reveal":[33],"intrinsic":[35],"connection":[36],"between":[37],"HG":[39],"mode":[40,44],"LG":[43],"in":[45],"paraxial":[46],"optics.":[47],"Finally,":[48],"study":[50],"how":[51],"to":[52],"generate":[53],"using":[58],"optical":[60],"beam":[61],"splitter.":[62]},"counts_by_year":[],"updated_date":"2026-03-13T14:20:09.374765","created_date":"2025-10-10T00:00:00"}
