{"id":"https://openalex.org/W2371541632","doi":null,"title":"Some algebraic properties of the \u25c7-products of positive operators","display_name":"Some algebraic properties of the \u25c7-products of positive operators","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2371541632","mag":"2371541632"},"language":"en","primary_location":{"id":"mag:2371541632","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTotal-YZZK200905002.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764725814","display_name":"Journal of Chongqing Technology and Business University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323283648","host_organization_name":"Heavy Industry University of Technology","host_organization_lineage":["https://openalex.org/P4323283648"],"host_organization_lineage_names":["Heavy Industry University of Technology"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Chongqing Technology and Business University","raw_type":null},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055089359","display_name":"BI Hong-mei","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"BI Hong-mei","raw_affiliation_strings":["School of Science,Airforce Engineering University,Xian 710038,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science,Airforce Engineering University,Xian 710038,China)","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055089359"],"corresponding_institution_ids":["https://openalex.org/I4210104252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27261462,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":0.6176999807357788,"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":0.6176999807357788,"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":0.163100004196167,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.05119999870657921,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/positive-operators","display_name":"positive operators","score":0.9909999966621399},{"id":"https://openalex.org/keywords/concurrence","display_name":"concurrence","score":0.9589999914169312},{"id":"https://openalex.org/keywords/fidelity","display_name":"fidelity","score":0.9959999918937683},{"id":"https://openalex.org/keywords/quantum-channels","display_name":"quantum channels","score":0.4490000009536743},{"id":"https://openalex.org/keywords/preservers","display_name":"preservers","score":0.5320000052452087},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"algebraic properties","score":0.7089999914169312},{"id":"https://openalex.org/keywords/counterexample","display_name":"counterexample","score":0.7599999904632568},{"id":"https://openalex.org/keywords/quantum-information","display_name":"quantum information","score":0.5149999856948853},{"id":"https://openalex.org/keywords/quantum-computing","display_name":"quantum computing","score":0.6650000214576721}],"concepts":[{"id":"https://openalex.org/C2777843375","wikidata":"https://www.wikidata.org/wiki/Q5159090","display_name":"Concurrence","level":4,"score":0.9256647229194641},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.7305632829666138},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6594351530075073},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6568610072135925},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5297117233276367},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5228053331375122},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5138395428657532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4605250954627991},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4306374192237854},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4293788969516754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40590929985046387},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2762734889984131},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.135351300239563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12807747721672058},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11512956023216248},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09960353374481201},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0496860146522522},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2371541632","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTotal-YZZK200905002.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764725814","display_name":"Journal of Chongqing Technology and Business University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323283648","host_organization_name":"Heavy Industry University of Technology","host_organization_lineage":["https://openalex.org/P4323283648"],"host_organization_lineage_names":["Heavy Industry University of Technology"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Chongqing Technology and Business University","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2029097282","https://openalex.org/W7097888441","https://openalex.org/W2031248193","https://openalex.org/W2120002077","https://openalex.org/W1985691334","https://openalex.org/W2280756743","https://openalex.org/W2024021297","https://openalex.org/W3193828991","https://openalex.org/W2907785965","https://openalex.org/W1587490756"],"abstract_inverted_index":{"We":[0],"introduce":[1],"the":[2,26],"\u25c7-products":[3,34],"by":[4,22],"considering":[5],"two":[6],"physical":[7],"quantities(namely,the":[8],"concurrence":[9,46],"and":[10,19,35],"fidelity),which":[11],"play":[12],"an":[13],"important":[14],"role":[15],"in":[16],"quantum":[17,20],"computation":[18],"information.Then":[21],"comparing":[23],"\u25c7-product":[24],"with":[25],"sequential":[27],"product,we":[28],"give":[29],"some":[30,36],"algebraic":[31],"properties":[32],"of":[33,42],"counter":[37],"examples.Finally,we":[38],"obtain":[39],"a":[40],"characterization":[41],"trans-formations":[43],"that":[44],"preserve":[45],"or":[47],"fidelity":[48],"between":[49],"different":[50],"Hilbert":[51],"spaces.":[52]},"counts_by_year":[],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2016-06-24T00:00:00"}
