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35,pop_errors_norobust_cont:35,pop_errors_prev:35,pop_errors_robust:35,pop_label:28,popul:[6,12,27,28,29,30,31,32,33,34,36],popular:[5,10],posit:[15,22,29,34],possibl:[1,5,6,9,10,19,20,21,22,28,31,36],post1:1,post:1,potenti:[10,21,32,33,35],power:[7,9,34],practic:[6,12,17],pre:[1,10,16,35],prec:16,preced:29,precis:[16,22],predefin:[6,9],prefer:[0,1,10,19,22,25,26],prefix:1,prematur:9,prepar:[1,5,12],preprint:4,prerequisit:27,presenc:6,present:[16,17],preserv:[4,6,23],preskil:12,press:12,prevent:[1,27],preview:1,previou:[1,4,6,10,16,17,20,22,27,30,32,34,35],previous:28,primari:30,primarili:10,prime:10,princeton:12,principl:[6,9,10],print:[0,1,4,17,19,28,29,30,31,32,33,34,35],print_debug_inform:[4,17,20,31,34],print_fidel:[17,30,34],print_j_t_per_target:35,print_qubit_error:31,print_tabl:[4,9,17,28,29,32,33,35,36],priori:9,prisner:12,privat:1,pro:1,probabl:[9,30],probe:12,problem:[0,5,9,10,12,16,18,22,24,26,27,28],proc:12,proce:6,procedur:[10,12,28],process:[0,12,19,21,22,26,30],produc:[9,32,35],product:[6,12,19,22,31,33],profil:32,program:12,progress:[1,28,35],prohibit:9,proj0:[28,32,36],proj1:[28,29,30,32,35,36],proj2:[29,30,35],proj3:[29,30,35],proj:36,proj_00:[31,34],proj_01:[31,34],proj_10:[31,34],proj_11:[31,34],project:[1,33],projector:[28,29,32,34,36],promis:5,prone:10,propag:[3,4,5,6,7,9,10,13,16,17,18,19,20,21,23,24,28,29,30,31,32,33,34,35,36],propagate_guess:33,propagate_guess_for_expv:33,propagate_opt:33,propagate_opt_for_expv:33,propagt:34,propat:21,proper:[1,14,15],properli:[1,6,23],properti:[0,4,7,9,10,23,26,28],proport:[6,28,34],proportion:28,propos:1,propto:[10,18,29],prospect:12,protect:[1,9,12,14],protocol:10,provid:[0,5,7,10,11,18,21,22,26,28,31,34],pseudocod:[5,27],psi00:31,psi01:31,psi0:[15,19,32],psi10:31,psi11:31,psi1:[19,32,36],psi2:36,psi:[1,6,16,19,28,29,30,32,33,35],psi_00:34,psi_01:34,psi_10:34,psi_11:34,psi_:[28,29,31],psi_k:16,psi_target:[29,30,35],psi_tgt:15,publish:1,pull:27,pull_request:1,puls:[4,5,6,8,11,12,13,14,15,16,17,18,20,21,23,24,25,27,28,29,30,31,34,36],pulse_im:[29,30],pulse_imaginari:[29,30,35],pulse_onto_tlist:[15,28],pulse_opt:[4,7,9,15,16,17,20,25,28,29,30,31,32,33,34,35,36],pulse_options_dict_to_list:15,pulse_r:[29,30,35],pulse_v:21,pulseopt:4,pulseoptim:10,pulses_map:[18,36],pump:[12,29,30,35],pure:[5,16,19,33],puriti:[16,31,33],purpos:[1,5,10,14,17,20,27,28,29,30,33,34],purview:5,push:[1,9,10],put:[1,5,21,30,31],py35:1,py36:1,py37:1,pyenv:1,pylab:[1,28,29,30,31,32,33,34,35,36],pylint:1,pypa:1,pypi:1,pytest:1,python:[1,4,5,7,11,12,15,17,21,23,27,33,35],q1t1:33,q1t2:33,q2t1:33,q2t2:33,qdyn:[0,11,26],qed:12,qengin:[10,11,12],qip:16,qobj:[4,7,9,15,16,18,19,20,22,23,29,30,31,32,34,35,36],qquad:[6,10,31,34],quad:[6,16],quantifi:34,quantiti:[14,17],quantum:[0,5,7,8,10,12,13,16,18,19,26,27,28,29,30,31,32,34],quasi:[10,12],qubit:[6,8,11,12,19,27,28,33,34,36],qucontrol:[0,1,4,26,34],qucontrolenv:[0,26],question:[33,35],queue:21,quickli:35,qutip:[0,1,4,5,6,11,12,15,16,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36],qutip_callback:25,r01:12,r175:12,rabitz:12,rach:12,radio:6,raimond:12,rais:[15,17,19,20,23],raman:29,ramp:25,random:[10,12,19],rang:[9,10,19,20,31,32,34,35],rangl:[1,6,10,16,18,28,29,30,31,32,33,34,35,36],rapidli:12,rapin:12,rare:[6,18,36],rate:[6,9,30,31],ratio:32,rc1:1,reach:[5,6,9,10,14,17,20,23,28,29,30,31,32,33,34,35,36],reaction:[6,12],read:[0,1,6,9,15,21,26,29,30,31,32,34],readabl:1,readi:1,real:[6,9,15,16,17,19,20,29,30,31,32,33,35,36],realiz:[0,6,9,10,14,26,32,34,35],reason:[28,29,30,31,32,33,34,35,36],rebas:1,recalcul:[24,34],receiv:[4,9,14,19,21,22,34],recent:[0,1,5,9,10,14,26],recogn:19,recommend:[1,9,14,16,19,22],recoupl:12,recov:[10,28],red:35,redefin:[1,4],reduc:[10,30,31],reduct:12,reentrant:[22,33],ref:[6,9,10,34],refer:[0,1,5,6,10,26,27,34,35],reflect:33,reflog:1,refregi:12,refresh:[24,34],region:35,regul:16,regular:[9,14],reich:[0,2,12,34],reif:12,reinhard:12,reinhold:12,reiss:12,reiter:12,rel:[1,10,32,33,34,35],relat:[0,4,7,9,14,15,26,27,29,34],relax:12,releas:[0,1,4,21,26],relev:[6,9,10],reli:[0,1,5,6,7,26,28],rem:12,remain:[9,25,29,30],remaind:6,rembold:12,remedi:10,rememb:[1,6,9],remot:[1,12],remov:6,renam:4,render:1,renorm:30,rensen:12,rep:12,repeatedli:16,replac:[6,10,15,19,23,33,35,36],repo:1,report:[2,27],repositori:1,repr:19,repres:[5,7,9,16,18,19,28,31],represent:[4,9,14,19,32],reproduc:[1,5,33],reput:5,request:27,requir:[0,1,5,6,9,10,15,16,18,19,20,24,25,26,28,29,30,32,33,34],res:35,research:[0,5,26,34],reset:[6,8,9,19,27,35],reset_symbol_count:19,reshuffl:4,resiz:1,resolut:29,resolv:[6,9],reson:[5,6,31,33],resourc:6,respect:[0,4,6,9,10,14,17,18,19,22,26,28,29,33,34,35],rest:1,restor:[9,23],restrict:[1,5,9,10,29],restructur:1,result:[1,4,6,7,10,13,14,15,16,18,19,20,21,22,24,27,28,29,30,31,32,34,35,36],result_queu:21,returnd:19,rev:[12,19,34],revert:1,review:[6,21],revisit:[35,36],revmodphi:12,rewrit:[1,9,29],rewritten:[6,9,16],rho00:33,rho01:33,rho0:[19,33],rho10:33,rho11:33,rho1:31,rho2:[20,31],rho:[6,16,18,19,31,33],rho_1:2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ength:[31,34,35],strict:[1,14],strictli:[1,14],string:[1,14,17,19,23,34],strive:1,strong:[30,33],stronger:30,strongli:[0,1,7,9,19,26,31],struct_tim:23,structur:[11,12,15,19,34],structural_convers:4,stuck:10,student:[0,5,26],studi:12,style:[27,30],subclass:[4,20,24,34],subfold:1,subject:[1,9],submit:27,submodul:13,subplot:[28,29,30,31,32,33,34,35,36],subroutin:12,subsequ:[1,20,22],subspac:[6,16,19,27,30,34],substanti:[10,21],success:[5,9,12,14,33,35],successfulli:1,suffici:[5,6,9,30,31,33,35],suffix:1,suggest:[2,29],sugni:12,suit:1,suitabl:[6,9,10,14,17,25,34],sum:[6,16,17,19,29,33,35],sum_:[6,16,18,19,31,32,33,34],sum_i:17,sum_k:[9,24],sum_l:6,sum_of_weight:19,summar:[1,19],summari:1,summat:6,superconduct:[6,12,32,34],superconductor:32,superoper:[19,22],suppli:[10,22],support:[1,3,4,6,9,10,17,21,22,24],suppos:9,suppress:31,supremum:6,sure:[1,23,35],surfac:[6,9],surpress:19,surround:9,survei:12,suspicion:35,swap:[16,31],symbol:[1,4,17,19,36],sympi:1,synchron:21,syntax:[1,5,17,20],sys:[33,35],system:[0,1,4,5,6,7,8,10,12,17,19,22,26,27,31,34,36],t0S:30,t0p:30,t_0:[6,25],t_1:[6,25],t_fall:[25,28,31,34,36],t_n:[6,10],t_rise:[9,20,25,28,29,30,31,32,33,34,36],t_start:[9,20,25,28,29,30,31,32,33,34,35,36],t_stop:[9,20,25,28,29,30,31,32,33,34,35,36],tabl:[17,33],tabular:[17,28,35],tag:1,tail:4,tailor:12,take:[4,6,7,9,10,15,16,18,19,20,21,25,32,33,34,35,36],taken:[1,6,16,22,34],tanh:9,tannor:[10,12,29],target:[0,1,4,5,6,7,9,10,12,15,16,17,19,23,26,33,34,35],task:[1,5,10,21],task_arg:21,task_queu:21,tau:[16,31],tau_:6,tau_j:16,tau_k:[6,9,10,16],tau_val:[4,9,14,16,17,23,30,31,35],teach:36,team:27,technic:[13,30],techniqu:12,technol:12,technolog:[0,5,12,26],tejasavinashshetti:4,tejasavinasshetti:2,tell:17,temperatur:31,templat:1,temporarili:31,ten:28,tensor:[19,31,33],term:[6,9,10,29,30,34],termin:[0,1,26,28,29,31,32,33,34,35,36],tersigni:12,tesch:12,test:[0,5,26,27],test_:1,test_krotov:1,text:[1,6,9,10,16,28,29,30,31,32,33,34,35,36],textbook:29,textiowrapp:17,teytaud:12,tgt:[1,6,9,10,16,28,29,30,31,32,33,34,35,36],than:[6,10,14,15,16,17,21,22,25,29,33,35],thank:[2,4],thee:9,thei:[1,6,15,16,17,19,21,23,30,34,35],them:[1,5,19,22,30],theorem:19,theori:[5,6,12],therefor:[9,29,33,34,35],thermal:31,thesi:[12,34],theta:25,thew:12,thi:[0,1,4,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36],thing:[35,36],think:6,third:[15,17,36],thorsen:12,those:[7,10,16,17,33],though:[1,10,28],thousand:[5,9,28],three:[5,6,9,17,19,20,21,29,30,33,36],threshold:[6,14,27,28,35],through:[0,1,3,4,6,7,9,13,14,16,21,26,29,30,35],throughout:[28,35],thu:[0,5,6,9,10,14,16,17,18,20,21,22,25,26,29,30,31,32,33,34,35,36],tild:[6,10],time:[1,3,4,5,7,10,12,14,15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36],time_fmt:23,time_index:[15,18,21,36],timohillmann:[2,4],tip:1,titl:[0,33],tlist:[7,9,14,15,17,19,20,23,28,29,30,31,32,33,34,35,36],tls_onb:31,tls_onb_trg:31,toS:[30,35],tocsi:12,togeth:[5,14,17,20,33],too:[1,6,14,17,29],tool:[5,6,12,13],toolbox:[7,10,11],top:[0,1,4,26,30,31,35],topic:1,total:[4,17,28,30,32,35],toward:[0,6,8,13,19,20,26,27,30,33],tox:1,toxini:1,tr_:31,trace:31,trace_tl:31,track:[9,12,19,30,33],tracker:1,tradition:5,train:12,trajectori:12,tran:12,transfer:[6,8,9,12,20,27,36],transform:[6,9,12,15,19,25,29],transit:[6,9,10,12,28,29,30,32,34,35],translat:[9,10],transmiss:33,transmon:[8,9,27,34],transmon_hamiltonian:32,transmonxgate_opt_result:32,transpar:28,trap:[6,9,12],travi:1,treat:[6,29,34],treatment:30,tree:[4,10],trial:[6,9],trick:[19,30],trigger:1,trivial:[1,9,10,33],troubl:17,troubleshoot:1,truncat:[32,33,34],tunabl:[10,12],tune:21,tupl:[15,17,20,21,34],turinici:12,turn:[9,10],twelv:35,twine:1,two:[0,1,4,5,6,8,11,12,15,16,19,20,26,27,29,31,32,34],two_qubit_transmon_liouvillian:33,type:[10,14,15,17,18,19,20,23,25,33,34],type_check:[19,36],typeerror:15,typic:[1,5,6,10,14,21,24],typo:1,u_n:10,uiofgh:[2,4],ultim:31,ultracold:12,unaccept:32,unaffect:10,unchang:[6,9,19,30],unconstrain:[9,10],unconvent:34,under:[4,6,7,9,10,12,14,16,17,18,20,21,22,23,24,32,34],underbrac:[6,10,16],underneath:1,understand:[0,1,5,26],understood:6,undo:9,unencumb:12,unexpect:[9,14],unfilt:9,unfortun:[33,35],unhash:20,uni:[2,12],unicod:[17,19,29,32],unifi:12,unimolecular:12,unintuit:10,uniqu:[15,34],unistochast:12,unit:[12,16,32,33],unitari:[6,12,16,19],unitarity_weight:34,univers:[9,12,34],universit:12,unix:[1,33,35],unknown:9,unless:[1,5,22],unlik:25,unnecessari:[4,29],unperturb:[9,35],unpopul:29,unpreced:5,until:[1,6,35],unusu:34,updat:[1,4,5,7,9,10,13,14,16,17,18,20,21,24,27,28,29,30,31,32,33,35,36],update_shap:[4,9,20,25,28,29,30,31,32,33,34,35,36],upload:1,upon:1,upper:12,url:12,urn:12,usag:[14,27],use:[0,4,5,6,7,10,11,13,14,15,16,17,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36],use_unicod:19,used:[0,1,5,6,9,10,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35],useful:[0,9,10,14,17,19,26,28,30,34],user:[0,1,5,14,22,26,34],uses:[1,4,6,7,10,19,21,22,28,33,35,36],using:[0,1,5,6,9,10,12,16,19,20,21,22,23,26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Python Package","Contributing","Credits","Features","History","Introduction","Krotov\u2019s Method","Using Krotov with QuTiP","Examples","How-Tos","Other Optimization Methods","Related Software","References","krotov package","krotov.convergence module","krotov.conversions module","krotov.functionals module","krotov.info_hooks module","krotov.mu module","krotov.objectives module","krotov.optimize module","krotov.parallelization module","krotov.propagators module","krotov.result module","krotov.second_order module","krotov.shapes module","Krotov Python Package","Welcome to the Krotov package\u2019s documentation!","Optimization of a State-to-State Transfer in a Two-Level-System","Optimization of a State-to-State Transfer in a Lambda System in the RWA","Optimization of a Dissipative State-to-State Transfer in a Lambda System","Optimization of Dissipative Qubit Reset","Optimization of an X-Gate for a Transmon Qubit","Optimization of a Dissipative Quantum Gate","Optimization towards a Perfect Entangler","Ensemble Optimization for Robust Pulses","Optimization with numpy Arrays"],titleterms:{"\u03bb\u2090":6,"function":[6,9,16],"new":9,The:[6,29,30,32,33],Tos:[1,9],Using:7,accessori:11,acknowledg:2,amplitud:[9,35],analysi:35,api:27,appli:9,arbitrari:9,arg:9,arrai:36,ascent:10,avoid:9,branch:1,bug:1,calculu:10,choic:6,choos:10,cite:0,code:1,commit:1,complex:[6,9],conduct:1,constraint:9,continu:9,contribut:1,control:[6,9,11,29,35],converg:14,convers:15,convert:1,correct:9,credit:2,cross:9,deal:9,debug:1,debugg:1,defin:[9,30,31],depend:9,deploi:1,develop:[1,2],diff:1,discret:6,dissip:[9,30,31,33],doctest:1,document:[1,27],dynam:[28,29,30,31,32,33,36],easier:1,effect:30,effici:9,engin:10,ensembl:35,entangl:[9,34],equat:34,error:9,exampl:[1,8],exclud:9,fail:1,featur:3,feedback:1,field:[9,28,29,30,31,36],first:6,fluctuat:35,forbidden:9,frame:29,free:10,from:[9,10],gate:[9,32,33],get:1,git:1,gradient:10,grape:10,guess:[28,29,30,31,32,33,36],guidelin:1,hamiltonian:[28,29,30,32,34,36],histori:4,how:[1,9],implement:11,indic:27,info_hook:17,instal:[0,26],interact:1,introduct:5,iter:[6,10],jupyt:1,krotov:[0,6,7,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27],lambda:[29,30,35],lead:2,level:[28,36],limit:9,liouvil:6,liouvillian:31,logger:1,lose:9,macro:1,make:1,math:1,maxim:9,mechan:1,memori:9,messag:1,method:[6,10],model:1,modul:[14,15,16,17,18,19,20,21,22,23,24,25],notebook:1,numer:9,numpi:36,object:[9,19,33,34,35],onli:1,optim:[6,9,10,20,28,29,30,31,32,33,34,35,36],order:[6,34],other:[10,11],out:9,output:1,overhead:9,packag:[0,13,26,27],parallel:[9,21],paramet:31,penal:9,perfect:[9,34],popul:[9,35],prerequisit:[0,1,26],prevent:9,previou:9,problem:6,propag:22,pseudocod:6,pull:1,puls:[9,10,32,33,35],purpos:[0,26],python:[0,26],quantum:[1,6,9,11,33],qubit:[9,31,32],qutip:[7,9,10],refer:[12,14,15,16,17,18,19,20,21,22,23,24,25],relat:11,report:1,request:1,reset:31,result:[9,23,33],robust:[9,35],rotat:29,run:[1,9],rwa:[6,29],scheme:10,script:1,second:[6,34],second_ord:24,see:1,server:1,set:35,shape:25,simul:[28,29,30,31,36],singl:[1,9],softwar:11,some:9,space:6,spectral:9,start:1,state:[28,29,30],stop:9,style:1,submit:1,subset:1,subspac:9,summari:[13,14,15,16,17,18,19,20,21,22,23,24,25],system:[9,28,29,30,33,35],tabl:27,target:[28,29,30,31,32,36],team:2,test:1,tex:1,threshold:9,time:[6,9],toward:[9,34],transfer:[28,29,30,35],transmon:[32,33],two:[9,28,33,36],under:[28,29,30,33,36],updat:[6,34],usag:[0,26],use:[1,9],valu:9,variat:10,version:1,wave:29,welcom:27,when:9,work:1,write:1}})