{"id":"https://openalex.org/W1961148217","doi":null,"title":"INFORMATION TRANSMISSION THROUGH BOSONIC GAUSSIAN QUANTUM CHANNELS","display_name":"INFORMATION TRANSMISSION THROUGH BOSONIC GAUSSIAN QUANTUM CHANNELS","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1961148217","mag":"1961148217"},"language":"en","primary_location":{"id":"pmh:oai:dipot.ulb.ac.be:2013/209420","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209420","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/doctoralThesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209420","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056454795","display_name":"Joachim Sch\u00e4fer","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joachim Sch\u00e4fer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5069751126","display_name":"Nicolas J. Cerf","orcid":"https://orcid.org/0000-0001-7643-1788","observed_orcids":["https://orcid.org/0000-0001-7643-1788"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicolas J. Cerf","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7643-1788","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"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":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9990000128746033,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.00019999999494757503,"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":9.999999747378752e-05,"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/gaussian-quantum-channels","display_name":"Gaussian quantum channels","score":0.8849999904632568},{"id":"https://openalex.org/keywords/classical-capacity","display_name":"classical capacity","score":0.8690000176429749},{"id":"https://openalex.org/keywords/memory-channels","display_name":"memory channels","score":0.8970000147819519},{"id":"https://openalex.org/keywords/gaussian-states","display_name":"Gaussian states","score":0.33399999141693115},{"id":"https://openalex.org/keywords/information-transfer","display_name":"information transmission","score":0.4350000023841858},{"id":"https://openalex.org/keywords/free-space-quantum-communication","display_name":"free-space quantum communication","score":0.5460000038146973},{"id":"https://openalex.org/keywords/noise-correlation","display_name":"noise correlation","score":0.39399999380111694}],"concepts":[{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.7804133892059326},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7436262369155884},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.6561958193778992},{"id":"https://openalex.org/C51267290","wikidata":"https://www.wikidata.org/wiki/Q5527848","display_name":"Gaussian random field","level":4,"score":0.5766134262084961},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.5534522533416748},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.542461633682251},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5411261320114136},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.4759773313999176},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47407785058021545},{"id":"https://openalex.org/C180137035","wikidata":"https://www.wikidata.org/wiki/Q1756194","display_name":"Shannon\u2013Hartley theorem","level":4,"score":0.45707306265830994},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4528946280479431},{"id":"https://openalex.org/C65892221","wikidata":"https://www.wikidata.org/wiki/Q1113935","display_name":"Gaussian filter","level":3,"score":0.44967347383499146},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.44855648279190063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4461734890937805},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.42604056000709534},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36747175455093384},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3498413562774658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34967824816703796},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3440268635749817},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.33254003524780273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27137237787246704},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24582862854003906},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.238429993391037},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20947474241256714},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10677579045295715},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.09531190991401672}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:dipot.ulb.ac.be:2013/209420","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209420","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/doctoralThesis"},{"id":"mag:1961148217","doi":null,"is_oa":false,"landing_page_url":"https://difusion.ulb.ac.be/vufind/Record/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209420/Holdings","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"mag:2187559482","doi":null,"is_oa":false,"landing_page_url":"http://quic.ulb.ac.be/_media/publications/2013-phd-thesis-joachim-schaefer-v2.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:dipot.ulb.ac.be:2013/209420","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209420","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/doctoralThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":111,"referenced_works":["https://openalex.org/W32682462","https://openalex.org/W162944851","https://openalex.org/W1491656027","https://openalex.org/W1545748428","https://openalex.org/W1563757785","https://openalex.org/W1568529095","https://openalex.org/W1623920228","https://openalex.org/W1631356911","https://openalex.org/W1653171623","https://openalex.org/W1830276184","https://openalex.org/W1845682427","https://openalex.org/W1965633412","https://openalex.org/W1966694366","https://openalex.org/W1970302872","https://openalex.org/W1970948459","https://openalex.org/W1971662412","https://openalex.org/W1974233038","https://openalex.org/W1976662133","https://openalex.org/W1976829506","https://openalex.org/W1977148550","https://openalex.org/W1977205922","https://openalex.org/W1978553093","https://openalex.org/W1978601068","https://openalex.org/W1980007930","https://openalex.org/W1986407511","https://openalex.org/W1988952566","https://openalex.org/W1990977980","https://openalex.org/W1992055308","https://openalex.org/W1995875735","https://openalex.org/W1996360405","https://openalex.org/W1998018243","https://openalex.org/W1999277439","https://openalex.org/W2000572113","https://openalex.org/W2001619599","https://openalex.org/W2002221198","https://openalex.org/W2002758003","https://openalex.org/W2006574499","https://openalex.org/W2008409810","https://openalex.org/W2012145517","https://openalex.org/W2013276173","https://openalex.org/W2014198972","https://openalex.org/W2015179126","https://openalex.org/W2015353549","https://openalex.org/W2015682358","https://openalex.org/W2017666796","https://openalex.org/W2017709228","https://openalex.org/W2023532324","https://openalex.org/W2028762279","https://openalex.org/W2028864648","https://openalex.org/W2031170573","https://openalex.org/W2035158379","https://openalex.org/W2036604884","https://openalex.org/W2040743796","https://openalex.org/W2041947476","https://openalex.org/W2044528981","https://openalex.org/W2044630118","https://openalex.org/W2049287603","https://openalex.org/W2050151514","https://openalex.org/W2051121136","https://openalex.org/W2054845895","https://openalex.org/W2058235552","https://openalex.org/W2061898774","https://openalex.org/W2063039958","https://openalex.org/W2064534797","https://openalex.org/W2070735470","https://openalex.org/W2072867330","https://openalex.org/W2073465935","https://openalex.org/W2074384947","https://openalex.org/W2074426935","https://openalex.org/W2082946462","https://openalex.org/W2084225150","https://openalex.org/W2085163160","https://openalex.org/W2086184903","https://openalex.org/W2086731084","https://openalex.org/W2087515925","https://openalex.org/W2087891538","https://openalex.org/W2088758181","https://openalex.org/W2093856853","https://openalex.org/W2099111195","https://openalex.org/W2104264464","https://openalex.org/W2105465695","https://openalex.org/W2113014890","https://openalex.org/W2114853176","https://openalex.org/W2116102644","https://openalex.org/W2117762142","https://openalex.org/W2118945164","https://openalex.org/W2119830780","https://openalex.org/W2123809589","https://openalex.org/W2127913510","https://openalex.org/W2128386771","https://openalex.org/W2131263627","https://openalex.org/W2132105090","https://openalex.org/W2134063552","https://openalex.org/W2142739935","https://openalex.org/W2144094762","https://openalex.org/W2148102575","https://openalex.org/W2149800642","https://openalex.org/W2154564336","https://openalex.org/W2157005274","https://openalex.org/W2160922370","https://openalex.org/W2168676717","https://openalex.org/W2336770924","https://openalex.org/W2493581502","https://openalex.org/W2949757588","https://openalex.org/W3010932768","https://openalex.org/W3099330432","https://openalex.org/W3103669435","https://openalex.org/W3111749861","https://openalex.org/W3119264854","https://openalex.org/W3165765921","https://openalex.org/W7097210442"],"related_works":["https://openalex.org/W1608958278","https://openalex.org/W2146605404","https://openalex.org/W7222465867","https://openalex.org/W2040133029","https://openalex.org/W7100567357","https://openalex.org/W2002221198","https://openalex.org/W2141185014","https://openalex.org/W1908336408","https://openalex.org/W3101068992","https://openalex.org/W1980007930"],"abstract_inverted_index":{"In":[0,50,322],"this":[1,51,124,186,684],"thesis":[2],"we":[3,53,324,360,373,401,506,593,657],"study":[4,408],"the":[5,33,40,57,62,80,86,91,96,114,128,132,143,147,173,181,196,199,202,209,232,237,240,248,262,279,289,292,302,312,315,327,335,341,362,378,389,404,407,410,420,438,460,464,466,486,497,514,529,538,542,555,558,578,582,585,624,652,665,668],"information":[6,479],"transmission":[7,93],"through":[8],"Gaussian":[9,12,87,100,110,119,129,136,169,174,204,220,286,316,328,411,421,653],"quantum":[10,13,36,256,274,445,498,696],"channels.":[11,37,287,526],"channels":[14,366,426,467],"model":[15,635,662],"physical":[16],"communication":[17,23,45,697],"links,":[18],"such":[19],"as":[20,32,600,603,628,630],"free":[21],"space":[22],"or":[24,356],"optical":[25],"fibers":[26],"and":[27,236,300,338,350,492,568,698],"therefore,":[28],"may":[29,589],"be":[30,69,214,393,590,617,678],"considered":[31],"most":[34,210],"relevant":[35],"One":[38],"of":[39,43,65,145,198,201,239,278,314,334,364,409,423,521,531,557,584,640,651,681,695],"central":[41],"characteristics":[42],"any":[44],"channel":[46,73,221,320,641],"is":[47,61,83,90,163,176,189,267,272,294,306,330,440,490,501,667],"its":[48,228,319],"capacity.":[49,654],"work":[52,125],"are":[54,102,106,118,138,252,456,468,476,675],"interested":[55],"in":[56,108,123,157,310,375,413,513,636],"classical":[58,81,148,182,281,379,523],"capacity,":[59,88,149,183],"which":[60,89,113,150,222,259,388,417,448,484,496,512,664],"maximal":[63,92],"number":[64],"bits":[66],"that":[67,98,208,261,326,450,475,570,622],"can":[68,213,392,402,616],"reliably":[70],"transmitted":[71],"per":[72],"use.":[74],"An":[75],"important":[76],"lower":[77],"bound":[78],"on":[79,127,225,318,377],"capacity":[82,130,175,317,329,412,422],"given":[84,253,295,441],"by":[85,254,296,395,442,576],"rate":[94],"with":[95,180,195,367,427,459,562],"restriction":[97],"only":[99,168,224,301,485],"encodings":[101,137],"allowed:":[103],"input":[104,170,245,250,430,435,534,545,560,587,601,671],"messages":[105],"encoded":[107],"so-called":[109],"states":[111,455,458,535,598,602,680],"for":[112,131,284,387,483,495,623,631,663],"mean":[115],"field":[116],"amplitudes":[117],"distributed.":[120],"We":[121,193,206,308,383,552,620],"focus":[122,374],"mainly":[126],"following":[133],"reasons.":[134],"First,":[135],"easily":[139],"accessible":[140],"experimentally.":[141],"Second,":[142],"difficulty":[144],"studying":[146],"arises":[151],"due":[152],"to":[153,178,216,406,419,518,537,574,677,689],"an":[154,158,414,434,504],"optimization":[155,693],"problem":[156,405],"infinite":[159],"dimensional":[160],"Hilbert":[161],"space,":[162],"greatly":[164],"reduced":[165,215],"when":[166],"considering":[167],"encodings.":[171],"Third,":[172],"conjectured":[177],"coincide":[179],"even":[184],"though":[185,612],"longstanding":[187],"conjecture":[188],"unsolved":[190],"until":[191],"today.":[192],"start":[194],"investigation":[197],"capacities":[200],"single-mode":[203,425,453,522,533],"channel.":[205,382],"show":[207,325],"general":[211],"case":[212,363],"a":[217,243,255,268,273,297,331,348,351,353,396,428,443,508,519,548,563,607,632,637,643,659,686],"simple,":[218],"fiducial":[219],"depends":[223],"three":[226,471],"parameters:":[227],"transmissivity":[229],"(or":[230,276],"gain),":[231],"added":[233],"noise":[234,336,368,381,390,525,627,634,661],"variance":[235],"squeezing":[238,337],"noise.":[241],"Above":[242,433],"certain":[244],"energy":[246,290,431,436],"threshold,":[247],"optimal":[249,263,532,543,559,579,586,670],"variances":[251],"water-filling":[257,282,446,499],"solution,":[258,447],"implies":[260,449],"modulated":[264,452],"output":[265,454],"state":[266,546,561,566,588],"thermal":[269,457],"state.":[270,551,672],"This":[271],"extension":[275],"generalization)":[277],"well-known":[280],"solution":[283,293,500],"parallel":[285],"Below":[288,463],"threshold":[291,437,465],"transcendental":[298],"equation":[299],"less":[303,487],"noisy":[304,488],"quadrature":[305,489],"modulated.":[307],"characterize":[309],"detail":[311],"dependence":[313],"parameters.":[321],"particular,":[323],"non-monotonous":[332],"function":[333],"analytically":[339],"specify":[340],"regions":[342],"where":[343,372],"it":[344],"exhibits":[345],"one":[346,571],"maximum,":[347],"maximum":[349],"minimum,":[352],"saddle":[354],"point":[355,688],"no":[357],"extrema.":[358],"Then,":[359],"investigate":[361],"n-mode":[365],"correlations":[369,391],"(i.e.":[370],"memory),":[371],"particular":[376],"additive":[380,524],"consider":[384,507,594],"memory":[385],"models":[386],"unraveled":[394],"passive":[397],"symplectic":[398],"transformation.":[399],"Therefore,":[400],"simplify":[403],"uncorrelated":[415,515],"basis,":[416],"corresponds":[418,517],"n":[424],"common":[429],"constraint.":[432],"solutions":[439],"global":[444],"all":[451],"same":[461],"temperature.":[462],"divided":[469],"into":[470],"sets:":[472],"i)":[473],"those":[474,482,494],"excluded":[477],"from":[478],"transmission,":[480],"ii)":[481],"modulated,":[491],"iii)":[493],"satisfied.":[502],"As":[503],"example":[505],"Gauss-Markov":[509],"correlated":[510,540,626,645],"noise,":[511],"basis":[516,541],"collection":[520,530],"When":[527],"rotating":[528],"back":[536],"original,":[539],"multi-mode":[544],"becomes":[547],"highly":[549],"entangled":[550],"then":[553],"compare":[554],"performance":[556],"simple":[564],"coherent":[565],"encoding":[567],"conclude":[569],"gains":[572],"up":[573],"10%":[575],"using":[577],"encoding.":[580],"Since":[581,673],"preparation":[583],"very":[591],"challenging":[592],"sub-optimal":[595],"Gaussian-matrix":[596],"product":[597],"(GMPS)":[599],"well.":[604],"GMPS":[605,646,666,674],"have":[606],"known":[608,676],"experimental":[609],"setup":[610],"and,":[611],"being":[613],"heavily":[614],"entangled,":[615],"generated":[618],"sequentially.":[619],"demonstrate":[621],"Markovian":[625],"well":[629],"non-Markovian":[633],"wide":[638],"range":[639],"parameters,":[642],"nearest-neighbor":[644],"achieves":[647],"more":[648],"than":[649],"99.9%":[650],"At":[655],"last,":[656],"introduce":[658],"new":[660],"exact":[669],"ground":[679],"quadratic":[682],"Hamiltonians":[683],"suggests":[685],"starting":[687],"develop":[690],"links":[691],"between":[692],"problems":[694],"many":[699],"body":[700],"physics.":[701]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}