Microwave quantum memristive device

Abstract

The present invention pertains to a quantum memristive device, in particular to a quantum mem-capacitor. Specifically, the microwave quantum memristor with at least one superconducting circuit, in particular operated using a continuous flux feedback, comprises: - a first LC resonator, and - a second LC resonator, which are galvanically coupled to each other, and both coupled to a voltage source via a capacitor, wherein - the first LC resonator is grounded via a capacitance, and - the second LC resonator is grounded via a superconducting quantum interference device (SQUID) for changing the properties of the second LC resonator depending on an external magnetic signal applied to the SQUID which is tuned based on continuous quantum measurements.

Description

[0001] nmm .. - ,n nrmnrrn rnn.n .,n. ., , r w rnrr rrn rnnrnr.nr, , - nnvnnnvnnrn rn nnnmmm.n.rnmmnr nmnmvnnn rn rnnmn mmrrvrvn,n mr mwmvrr , n mrmn, m nn rm.nr r m nrn rn nm mmrvv n mwrvwv nm mnmrnnv mrmn n mmrv vr. v nv v mr rnrnn nn- m mrwv nnm mm . r r n , nm mmrvrvvv,nvnnnnnrrvnn n rr. nmr r, nm nrmr n r nwr, w r r,nn nm nr vnnn nm mnrnn. mrvvwv-rm,n w nr mmrr, mm r,n mmn r,r r nmnn rrz r rn mmrn r nrr.n mmvr xnn r r nv r rrr,r.r,n mrrrr mmrm r.r wx rnn vrr nnrrrr r rr nr n nn-v m n-v - vr mrr, nrmr mn,n m n rrnrr mm rmm. nr. xr wn nr nnnr r v rr nr n n r nnn r-v - v r,n vnn. m mmr r, nm .. mnwrrm r mmrmn.r wx nnn vrr nnrr rrn rr nn nvnnv mm x-rrn- r n. r,nr n,n v mn rmm, mnmrvv xn n mmrvv n n- vr rrrn mmr n nmrr m. v v vnnnn nnm mmrvn,rrmnrrnnmnnnrnmn,r- mmrr,nm n. mnr n, nrm mmnrrr nmn mmrr. r n rx. nmm , wr r n nn m nmr rnn mmrrn n x nn- vr nm r nnnnnmmn n wrmn mr mmn,r wr .nmrrnrrmvnnnm nr nwr,nnnm mmr rnrmn w . v, wr nr nm nnmm n rn nn m nrm vr rn nm m- vr rm.wn.vr m,rrr rrnmnn mmmrznnrnnm nrn nmrrrrrn. mn rn r mrmm- nm v.n r, nvn n- ’ nm wmr.n rrm mr, m z nrmnrmrwnrm, wmrnnmrr nrrn-nnrnnnnmrm n . mrmnnr rmmnn mnn nr nwrrmnrznmnrmrr.nr nnmr mnnrmnn mrm vnmn nrmr rm.n nx, r n r n w nm mnr mm vn mrrnvn nrmr mn, n nrmnr n rr nm mm w n nnn nm nr nwr. vn rrnmrn m.mn n nrr n n .. m mm rm nm mrmrnrn , mrn nmn nvnn mnrnn rnnnr,wmnnrnrnm,v wvn.rrnrr r mmrn nmrr m- nr r rn.n , n r w rn m r nr nmv. r rm r n wrn rnvnnnrv nm mmrvvn rmnrnrr vr mr rnnr- rnm n wvrvnnmn nr nnwrvr. n mmr., . nn nm mm,, rr., mr -,-, , v rmmrrv nr n n nm rm rrr nvnnw, nnr nn rn. mmmr nnnnvnnn. r mmvr.nvnn rv nm mmrvv,nr r rrmvmnvnnxnmrwrr nnnmn n m. rn,n m n rnrrm. nnm, - mnmrrr,nvnnrn nmv nnn nmmn ,nrrnrn mmr rr.n ,nvnnmr nrnm- m mmnrnv w rnn rvrr xm rn mrmrv rn nv , z,rnnnr mn,nm w mr-n vm, r n, rn ,nrnnr.n n vrnxnr, v mr vrrwrmnn.r, n x wnnr.nnmmnrmrnmnv, r z m, w m-r n .. r. mm nnnrrnnrvr m wn ,wnr xnr. n, rr mnnn rn n wr nnn r nrnx nnv nmv. xnr rr mn ,rrrn r.x nr xrn n rvn rr nnnm mn x. n n. nr rn n vr mn x w r- vvmrv xnnrrrnnnrnnmnrvrrnrwrmnn. w mmmn zn m . v wwrn, nnn, w nnn rr,r mn - vnrvn nv mn rr nn rn- nrnr n r xr xnr. n,x nmx mn. x nrnr mn ,nn wr -r n vr vn rrnr rn - w nnnn mn x. mnn mnn r v r,xrnn,nnmrxnrn. rrnr -n- rrrrr rrrrrnrnnrnrrw.mrrn rn r. rnmrnmr mmrnvvr nnnrnmmn n nr v mrwvr nnr. rn v n rr w rrvn mmvrnvnrxrrnnxnnrrn,nnmnnnmn. rm mrrnnmr nxrn vnrnrn wr mrr w rm mr. rn r r nn r n mn rnn r, w nnnnrrvn m rnnmnn. nr r. rnnrr mn rr rrr nn r.rnnn rnn n n rrnr vnn r.rn,r r.rnnrnnvr mrrr nmm .. rr nrrnnnrrm r.mn r r nw wnrnmmn,nvnn rr mrwv nm mmrrr mr- rvwv rnmm m.mrrwrr. , rnnr r n m- rmm m,rvr rnrnrrnnrmrm zz. zz.zz,.rr-nnrnrmnmnnr,,nvmnrnn rr mrwv nm mmrr w - r rnr : - wnr rn,nr r.vn , r,n v r v mr m,rmnn. r mnrrwvrvnn rn r rnr v r m mmrr nn nxrnn mmn,nn vr rrn rrnnrn m n rnr.nrn mrwv rr mmr mrr. nnr rr rm mmnn r- nmv . wrwvmnnnr mnnnrnrn mrnr n vn mn wr mr wv rm. r nr rnn mnrnnnr mmnn., - r rnrrn v n,n - .n rnn rrnrrn v rnn nmnrrn v n , w n mn nnxrn mn - r rnr. n rnvnnxmrn m mnrmnrrmnn rv nn n rnr. nr r.nrn rr n rnnn rnn n nnn ..nr rmmm vmn r mrwv nm mmrr, xrn mn n x n v nn mnrmnnrrrn rvnr. n n- mnnrnmnmn,nnn nm n , w rv nxrn rnr nn nm mrmn rrmn r nn. n mmnnrn r mn x r- rnr rn v , w nrnrv nn nnnnrnm. nmmn mrm mnrwv nm mmrr, r rnrrr r rnznn r mnrwv mmnrn mr m,.m.rrnv r r nnrn nnn nz r.nnvr rr, nnn rrn rnnm. vmn mmrmwv nm mmrr, rnn nm nr w rv r.n nrvr x n r- r nm vrn nm nn rn v m- rrmn r vr r nn nm mrmn mmrr rnr m n nmmnn n r.nrnr nrrnn nm mmrr rr rmm wnn. mmrm z rv m vn rnn nn nnmm mmr-nrrnnrv nm. vrmn mnnrwrnv vrnm mrm mrmrr,v rrrnnn.r rnr “mnmrnvm r’wn”. rr mnwnm-wnrnvnn n r r - rm n^^ ^^ ^^ ^^ ^^wnrr ^^ r ^^n ^^r ^^ rr rnnnnnn ^^n ^ n m, r v, n vr ^, ^^, ^^. rnnn n nnnm ^^ w. nm r n n n n n nmm ..nrnnnm vmn mrwv nm mmrr,rrnn r rnr n nnrrn vr.., mr mnmrvx r nn.,!nnr n wnrrvnmmnnnn m mrwvrmnnm mrrmmrrn,nrn rnm mn x , w nrnrv nn nrnr nr r-nr.nmnmnx m rr wwv nnm mnmrr, nn nm - rnr’ nm rv . r r nnn nm rn mmn x r rvnrnnm.mnr mrwv nm mmrvv, nn nm mnrv rvnmnrvn n rnr mmrr mrnnn v nr rnn rnnrnr,m. nmnn n mmrwv nm mmrrvv,nrrnr mm-nrrn v rmnrvn n r n nmnrv mrnnn v nr rnn nr m r,nr n xrn mn rn mmr- rn,r wn v nn mnnn mmrv v vr. n -nwn w rn mmr- n r-m mnrn ,nm-n-m mr n. n m wx r wn mr nr nn- vr. -nrw vn n w rn mmrv rn rn, nm rnmrr nvr w rzz,n nr n rmvr m rzz -nrnmmrnn r n nnr nn . m mrwv nm mmrr, nn nm -rm nr r’nrn.mmnn nnn mrmn v rvnnrmn mmmrmrn mnrwrmv nrm mnmrnr,n vnm, r mn,rwvr- n .. n,,nzm r,m r, wrnn rn rn mmrrn - nn rv mrwv nm mmrrnnrnrmmnr, m wrwnv n.m mmrrmr w rn- mn nn r,nr rn rnnr -nrnmmnrn mrwvr,nnrm mmrrnr n rn r. r r w r n r, rnwnrnn n n rnnr. n r rrnn-nrrnnm nmn mnrwvrnnnm mrmr mr nn n. n nmrr n n n n, n nr- nr nrnrr nm r,nnmnnrr ,nmnmnn. mrwv nm mmrvv,nr r mm - m wn m nm mm r nrn n- rrr nwnmn m n n n nmnvnrr, nrnnnm nv mnnrrnnnrmnnrrnn.r mx w . nmvrn m. wn n r nn rr nrnwnw m r rrnm mn.m rr nr nm n nr n n- nnm nnmn. mnnnr mrrnmrm. nnmnnmnnmnnwnw - mnnnr r n mrxn r n- n nn m r m.nrnmm rr . rwv nmn mrwv nm mmrr, rn m- - nnn mmrr rm r nn vm, r n, rn, - znnrn r,v, nn n.r nm .. r n vnmm rr rn nmrmn r,n w r ,rr wnx r rn. nrr nmm . mnnwr mr n rn mnn wnrvr n mr,n nrrmn r mrm w rrnnr . rrrnnr n, n mnnr rv w r nr ^n^α^ = ^α,αα^^., n. mnmn nn nrr ^^ n z rn rnz nzrnrrn r n. rnrn ^^ = ^^  ^^ ℏ^ nrn- n ^ ^^^ = ^#n rrn ^^, ^^ = ^^ ^^ ^^^ wr ^^^ rn ^ ^^ ^^ ^^ ^^^ ^^ ^^^^ ^^^^^^^^ ^ ^ ^^^^^^rwzn ,r nr. rm&,^ =x nn m ‘’ w zr r n r r rwrnr^=n^ m^ ^^^‘’^,^+n^ ^^+v,-^v^r.n nmrmn n n nm w - rnnrrnnm mm.n,nvnn rr mrwv nm mmrr, wrnr n nrnrnrr nn mr rv nn n nr mm wr rvnxrn v n. xrn v n v r nn n rnnr wn r x n v r rnn r nm-nnrnnmrr nm. mnn,rrnnmv mmrr, wwn m vrrn r- n r wnxrn mn x m n nm r n r nx n vnnrnxrnr vr nn n v n vvrn r rrnr .,n v rnnn rrnnn ,nr rnnr.r n,nnnnnn.r mmr- nmm ..nnmn , nvnn rr m rrvn mmrv r nn mn m mmr rrn mr.mrnr nnxrn mn r n- nnn vvrn w n rnnnr wrrnnnrr rnr,r v nn r rnr,r nn r nnr ,nvnn r nrn r n. r r mrwv nm mmrr r mnmrn. rnrmmmmnn, wrn, r r mrwrv nnm mm mrrwrvrnm wn rrnrrn.nrrmmnm nn rnr rnrrrnn r , nvnn rrn, m nrmrr mnrrnr mmmn. mmrr,nr r nm mmrr r rn. mr mwvmnrm: rvnr rnrn n rnr, wrn - r rnrrn v n,n - ,n rnrrn v rnn nmnrrn v wnrrnn vr n nrrnnrr. nxrn mn x nr nnnm mmr,rnvrnnn rrrr n mmrmwvrmnrn n mrwv r m mmrr r rrn. nnr rvnwnvn mnnnvnrwnn w rrn.n rn - v rmnmnmrwnn nvnrn.rwrvr,rnrvnnn m mr m w rnr mnn r nmm .. rmnwn r nn.nr m nrnrrrnn n nrvnnnnmrn,n wmmnrnr,n n r w r mmnmmnnnn wrnnr wrnn,rr v mn nvnn.rx rm- n m, m rn m mmnnr- nnm nmmr mmnrv rn.rrmr, w nr- mnrnn nnnvmn.n m mmn nnr mr - rnnvnn rvnmrv nm mmrvv. v nvnn. nrnnmmn,nvnn rr mrwv nm mmrvv w - rr rnnnr,r rnn mrwv rm,mrn: - wnr rnnr, vn v rr v,n r, wrn - r rnrrn v n,n - nrn rnnrrrrn vnr rnnnr nnmnrrn v n n w nn nnnxrn m- rmn. nnn nm m- - nrn rnnrrrrn v wr nr rnn nmnrrn v n n nr nnnnxrn m- nnnnxrn mnnm mnrmnnn, - vn w,rrnrnvnnnm r mmn rvvr.rrz rn nmm .. rm “rwmv nm mmrvv"r "mrwv nm mmrr" rr rmn.m mmrnmrm mmmrnr rrnr rrnnrnr rnn mrwv mn n rnnr rnn mrwnvm r mmmr.r rm-nnrrrnnmvmn, rnnn rnrrrn v rnn nm nnxrn mn n r wrn n rnr nn nnn nm mxrmrnn mnnr n- nn . rrvnn vrnm,rmnr,vnnnnm m rmnrvvr. rrz r nnm, m mm r vrm mx mmr n n r nnrx nn v .nn r v n r n vvr n vmr mm rrrn mm r n x - ^ ^^̂^^^n ^ ^^̂^^^wn r n ^n̂mmr̂.̂nnn̂r rv-n n v rv ^^ ^^^ = ^^^ ^ ^^^ ^^ r, ^ ^^ ^^^^ x- n, wrvnn v v,rn ^^ ^^ ^^^^, ^ ^^̂^, ^^ nmnx rn vnn- vvvrm rn rn ^^,nn, ^ ^^̇^rv = ^^^, ^^^,nm. vr nmn vr nn, rnw ^ ^^^, ^^. wr ^^^ ^^^, ^ ^^^, ^^.n rn n rv vr n ^̂nm. n ^ ^^ ^ ^̂^^ w n v v ^^ / r r ^^ / . nmr ^r ^^^, wr rnr ^^v r n x n vnrn.mmn, xn ^^̂^.r.nnnrrnrnvnr nnn x n nn rrrn r xr n, mmrv vr x mnn mmrv vr. n n xnnn vnnr:x nn v nvnnn wnnr- nmm ..nrnmmnmnn, mrrwv nmm r mnm, w rvwvnnxm mmrrnrr nn nm nm mrmnrrmn rrn r mnnr.n rn nn w: .nn rnrnm n rnnrr m,m mmnr: rn rn r ^^ n r ^^, rn mr,nrmn ^ m ^^nrmnn.m vr w r ' rnm w mrmn wwn r w, r mn rrnnnn .nrnnn n . nn n: nr.nnn rnrmn mrm mnn,nxxrn mn n n x n mmn nn ^^rrn nn ^^^v m nnr ^.n x ^ , rrn w rn0 4, nn n rrxr. , w nr n nmnn n n rnr. n mmrv vr n .x : nm mrnm rnwr’xnm vr r, w. nn . r vn . rn rm wnnrvw ^^ ^^,. ^^ ^^ +, mn x rmnnnn .nrn n mn vnnnrnn : n , nn ^^ ^^ ^^ , ^^^wr nnnrn,r. w m wnw mrnn v rn. nr r w rn mmrv nmm .. .nn rn rnn: nr m v n ^^ / , w nn nr r.rn mnn mxrm nn ^^#,n .n n nm n n x nn nrvmm: n n ^ ^^ ^^ mnm^ xrn mn mnn r mmrv0^vnr.rn m nm mn m.rnwrvnmnmm mnmr,vvnnmn nmmrnrnm- nmv. mmrr rr nrmrnrnnnmrmn,rrnrnnvnnn n m n wn: zrr r rrn rmnn mnn nn rrrnnvnnnnvnr nvnrnnnn , mn- v,n mnnn rvnn m. rrrnn mmr mrmrr nn rrr wr mmrrnrwrm mnr.rnv w r n - nnm’wn rrz n r n - n n ’ rn r r rn, w n x- rrr mn . vn r n . v wrr n rr,n xr mrmmrnr-mn nrrmnrnmnm-.n nrm nrr nwmrn, mmrrr mmvrnzn nnnnrrnnm r v nrn . m m rvnn n rm n, mmrr n r nr nwr. rnn mrnmrr. n vnmnn n,nmn n- mrv m nmm .. mmrv rzmr nnrmz rnrmn m mmrr. mmrv -^ ^ ^^ ^^ ^^ ^^ ^^=w rr ^^ ^r^n ^^ ^ r^nnrnn ^nn n m, r v,nr vr ^^ w nm r^ ^^, ^^, ^^n. rnnnnn nnnnm. n nnn n, ^x^ ^^rrrnr, v wnrnrn,, ^^ ^^ rrrnnnn ^r^r ^^n,v n nm mmr nm ^^, ^^ vn m n. rnnn rnm m nn ..rm, w n rv n nr rn rnr- nnnn m.. rnr r nnn nmrn. mnrn n vn r vr m.n nr mnnn nnnnrnm r wr nm m mnrn r-m, vr.mrn nmrmnr mnnrnz nmmm, n m' mrnnnrrmrnnrv n w mr- x nmmrrm.nn wr m mr rmrnrvrr.rm n r ,rrv xvm, n,nrnrnr,r v mrmnm,nnr, m m,r.r,rxrv. m rznnm mm mmrmr -rrrnnmn’mwnwrnrx n v mmrr.nmrrvr-. n .. nn rvmm r n rm.nrn nr nm mmrr,n r vr rm,nn nn rnrnnmr mm.rrv n m n rnmrv mmr ^̂r ^^^nn ^ ^^̂^n^^nwn r nr nrr.nnn-^ ^^̂^^^ ^^^ ^ ^^̂^ ^^^ ^^̂^^^=nr, ^n^,^ r ^^^, ^ ^^^, ^v^n. ^^^ ^^^, ^ ^^^, ^^r nmn rnn vr mnm mnmrrnv nr n rm rnnr n n- nn m v m, w rn mnm nr w mrm-mnnrmn , rmn, rnmrn mmnr vr.n mmrv. nr m -nnnrm mmrr nxrmn rz n nn n nrrmr, rnn v nn- n nnnr mmrv rn v. n v rr nnnrnnn wnrrmrnr ,.rrmr, n wrrnn.rrr n w rrnnrnm r mmnrvrr rn r n vr r rzn rr. xmn m mnnvnnn r nnrnrmnmnn mrwv nm mmrrvm- rn rnn nr. nm mmrr w vrn n mnrrn v , w n m nm r r r wnxrn mn x m n v vrn rn.r,nn n n v rnnvnnr rnxnrnr. nmm .. r n,nnnnnn.r mmrv rn n rnn ,nn -nnnmr nr,nvnnrn mrwv nm mmrr n mmrrnmrrnrnr..nvv n w mrwv nm nvnm.n nnrnn m nnnrmnrmnrrvnnrnn - nn mmrv m. mrr-nnr ^^nnmnmnn, ^^,nv mr wr ^^ r, m w - w ^^ =#,#.,n rnr, wwvnnnn., w m,nrnmmn,n nn w n v v nw n n^^%nn nnr vn ^^%cos ^^ ^^&^^', rnn mnxrnxmnn.x ^^&r , wr ^^' = ^^vrr n xrn mnn n, r n v r ^^&.rvr,nn n n r v rv, wnn.. rnn ̇"r r^^ ^ ̇" ̇ ^^ ̇ ̇ ̇ ̇ wrnrrm / =nn / 'n nzrnn,n mnm&n =n ^^̂& '.nn nr^^ ^^ ^^ ^^ ^^ ̂ ^^ ̂ ^^ ^^ ^^ ^^ ^^ ̂ ^^ ̂ ^^ ^^ ^^ ̂ ^^ ̂ ^^ ̂ ^ ̂ ^wr =rnr. mnvnrnn . ^^ r ^nr, w m- v r ^^.vr v, w nn.&x^&rn , ^^.x ^^&n n ..m^ ^^ ^n^rnnr.nn vvnrn^n^n rnr,rnx, mmmnn ^ n vx ,nnnmnn,-,mr nnr vnr r&.xmn, w w wr w-m- x ^^ / n ^^ / nrm rw r n nn,z v mnmrv n ^^vr mmrr nvnn,nnr n r rn.,nnm vrnn n ^n^nn nrn ^^.nmnvn- r n w mrmnn n ^^*. n - m ^^ ^^m x r nn nxmrn mnrvx ^ ^^ ^^^r xnnnvn ^^#= ^^ ^^ ^^.rn m wnw ^^#, ^^,^^ ^^n ^^. nr nn ,n mn^^ wnrv^^ nnrr,nwn. mn m wnw ^^ ^^ mrmmrv rn.nrn nvnrn r rnr mmn,nn r r,.. rnn n,mnn m r, wnr wr,., w nr wv rnr,n- wv mrmnn rrmvr mr- . n,n mrmn mn rvn nm - n mrrnmx nmvn^n^^ ^^^m ^^ ^^ ^^ ^^ n-nrn vr ^ ^^^nm*#.n mvn xr vmr ^v^ ^^nm. nrv-n n ^^..m, ^ ^m^rv rnnvnrrnnzn rrnn xrvrn ^ v ^^ ^^^ wrnr rnrm ^^.^^ = m'^^m ^^ ^r^ ^^<n .. ^^ r ^^.mm rmmrmznrmr v..rnmmn nn nm mnmrrnvmmn nvnn, r,rxm,w mrwv nm mrwvr v n n r rrnn r. r w nm mr,mnrrrrnmrrnnwrrmnnnrnnr n r,nr rn n r. r wnmrrmmn, r nn n n ^^ rv, nvn, mwnmnrv. v.r rn mvrmrnr , n n ^^=mmrv rrm rv. mn w v x nn n mmrr mzr wn , r- ^^,^ ^w^n^^nm nnrr mxmz n wn ^^̂^.^̂.^^ ^^ ^^m^^n^^̂n^^̂r^^ ^^ ^^̂^^̂r^^ ^^m^^ ^^ ^v^̂n ̂ ^^ ^^ ^^4r r n rnr mrwv mmrr. , ^^.4&^^n±nrn wn rnr w m nm m&mr ^r^, w ^^&rr ^^ ^^nrnnwn rn n mrmr v r rnnmwnrn rzn n.. mmrrrmm- nmrmv nm r rmn nn,nnn mmrv rnn nmv nvnn n r nn r mr zn nmmn mn r rvn mnmmnnn n m wn r,n rmnr rn.rx,m nnnmnnn r.nnr r rn- nmm ..nmnmnrmmnn,r mr nn n mmrr m v mmrvmvr.m’ mrmn n-n m' rnnnrn,nrnvnn rrr mvnrrn.nn nm mmrv mn rwnvmrvnm. n mrwvn mn nnr nnrnnn rznmrrn nnn rz n rr n n nmnrrn v .nmm- ,n w w rnrnnrrnnx. nrnmrrnr wrnn n n r mrr w m. r nm- r n- nr mnrrrm wn- wnn mmnr vr mrwvrrvn.nn n mrr rmr- nrnm rm. n n r r nnzmnn’rnn mnrnnvrvv n nmrnn mmnn m,n rmn vr nmrr nn wn rnnz. rrr mnznnn. mnn rnnr r r n mnxrmnn v mnn vnnnmrxvrmrn r. n nxrmn nrn r vrrr v mrnrmnnnm m'v nwrmmnn nr n r m nr n .n nm m. rmn nn mnr mn.mnrrmrrn rnrv nnn-r nnn x wnnm- mrr nr vr rrrzn-rn nrr,n vrn mnmn, nmm .. mnrn,nnrrn,rnnmmrrrn.rnnrnrvr mm.rv n nnnmnnrmn mnr nmrr n, w n nm wnrn nw rr- rr n. vn n m nrmnn - ^^?^^?@= ^^ ^^?@− ^^?^^?@, wr m nr^ ^n^^ ^^ ^^ ^^rr^^ −n^^ ^r^vn ^^ ^^ ^^ ^^ − ^^ ^^ ^^ ^ ^^ ^^m rnmmnnn, ^^n'rnr, ^^vnnn ^^Cw = ^^ ^^r ^^Cr ^m^?@^^ mCxnm ^^C'r mrmn .n n rmn n n zmmn vvr. nrr m- mrnnrrn mnnmr mvr rwvnnnm mrmrnrn rnnr,nr- n v n rnn nv, m mr - mnnx mnnnvvn rm- wnr wrnxnr,n mmrrmnvn rn.rmr rn nrn wn- .vnm mrwv nm mmrr nvnnr wn: . r rnn nmn rnnmn. . r . r rr wrn nnrr.. .nnmmrrnn nn ,,nnn nnr rr n n rr. mnn nr v n mrwv . n r,nnn- rmn rmrv vr nm .. rmnm mmrvv n m n wn m : . rmn: mrrmn rnnr. ^^, ^^ m, rmnnn w mrnrr nxr w nrmn nm w n n n wvnn. n n mrmrm mnrwrvrrmn .n rnr r , nm rnrnrrwnrmnnnr w. . rwv n: mrwv n n w mrmnrr n r r rnnrr. nr-nnwnn nnr nm n n. m nn nm-nnn nm n -nw, w mnr-mmnnmr.v wmr n n r nz. n r n. -mnrn: mm. mnrrmnnnm mnrvr nn rn-mrm n r n r rnr ^^, ^^. rnnnr nnrr mvrmrm,rnvnnr n rnnm nr. rmnr. nm: mnrm wxrn m mrnmnx ^ rr n n nn^1n.. . nmm .. n nr mnr x n ,nm nn n rnr.n r n mmrv vr . rmnr mmr: : mrmnrrrm n mrwv n. : nrn w rnr m nrr. : nrm n nm-n-m mr. : -m mnrn m nnz mrmn . : mnr n . mnnr mrmnr nn-nvvnrv nn wnr- . nm , w mnn mmrv vrr nm

[0002] nmm .. r w: vn:vvnm mr rwrvnnnm r r r nmmn mmrv nrn n nn w rnr r r- rn n n rnnrr^ ^^*, ^^*^^ ^^,n ^^. r rnr ^^ ^^*r ^^ v n ^^ r ^^,nn rn.rnn nm..nrrrnvr,v n ^^,r mmr- w n-n nnr ^^r4n ^^4,x rrnrnx ^ nv v mrnrmnn%^&. n m rrr w rnnr.xrnxnnr mn m rnrmrn ^^,. ^^ mrvrwvnnm mrn r rnr ^^*, ^^*n v r n r r rnmrr ^^,r ^^nnn nnxrn nr ^^, ^^.nrnmmn,n v r*n*r n mmr rr-.^^rn n:^^:rn r^^#: nn r^ ^^:^#: r / :rnr^^^^ / <::#:nn rr:m mn vnn mmxxrnrrn w n, ^^.rvn r mnmrnr vrrr rv nm mnmrnr.Jx!: mn x n.J::x .:nrn nnnnnn . nmm .. n ^^#,nm mrmr ^^, ^r^#rn ^^,mr wwnnmnnr:rJnn nnnrJ,n ^^ mn x,#n!<. n:rmnmmrmnmnrmnr,m w mv nrmn nmr m- rx mrr m nr rn wv- nmn.rmr wr rmn nmr m n, rn wv rxm- n.nn vn ,nnm mnm rnvvrrn mnnn , n vr v n rvnrnn r rvn r w m:rwmrv. v rnrm mnmrnrnrmvmnn nnvnvnmrn n nm mmrrr r ^^Dr r,wnrz.nw mrwnv mn n r nwnm. n n, ^^n rv rv rn n:vr.^ ^^^^#::rnnnrr^^^: r^^#::r r^^^^ / / <::#:nnnvn rxnrwrv nrn v!:=:n x n n, ^^n r mmrrrr rv nm mnmrr.>r.:mnnn mmxxrnnrrw.. nrv nrnJ?:vr n nm mmr-:mmnnxxnnnn.J: m:nr : nn nn.r nnnwnnm mmrr n ..^^^^##,nnr ^^ m<!.mmrmrr^^, ^^wrnn m ^^mmrrrnrnwrwmJnrnmn:nnwnnrJ,mn ^^nn:^ m^n#,nr, ^^r!x ^n^,,m=n x=!,>=n<?. w mmrrrnr Jrn nrm.Jnmmr:rmmnrr mrmmrnnrnnmrrmnnrw nm r. nnr rm- :nm rn nmmn n mrwv nm mmrr,n mn zrnr-r ^v^̂nmr, ^^n^ =n^v^^^.= ^^'^^ ^^ ^^ ^^<^^. - ^^,^ , ^ CEn - , ^^^ =^^^ w ^^ = ^^ ^^ rvnr n - ^^< = ^^. ^^*n -r^<rn. m2 / n wrrrm2n=^^'=. ^^ ^^,n n rnnr ^^*^^*=.n ×r ^^, ^^ ^*^*= ^^*=.. × ^^ ^r^ v =.m ×2n=r- rnr:, rnmv, rn r rr, ^^̂n ^^̂Fnn r m wxmnnr^nn n v wn - mnrnnzn- ^^<= ^^ ^^. ^^^ = ^^ ^^^ rv-- .r m n wrn*n m mrmr r rr . ^^+:0^rnmn r wrnrn r ^^nnr ^^ rnrn nv.rnnn ^ ^ ^ ^ ^ ^ n .. x mm nr,rnnmvnmnn,nvnn m rrz vr r. n rnrvn, wnnvrxm m mmrnrmr.. mmr, nvnn v nvnn nmrrm r nn v vr n nnn.n , mm n mnmnr-rmrv rv vr nnnvnnmr nnn x mrn n xn n nn x wn nwnrm rmnrnrrm n rnnrn nvnnmr. mmwn r mr: nn r rrnn n rvr vr rmn. nnn r vnnvn rrn rrrnn v. nn r vrnnn- nrvn rnnvnn rvnn m. n r mrn n mmrv vrmrnn n nmr r nxrmn, n rrn v nm mmrvvrnrnr n v. rnnr, vnnmr r mnrnn mmrrr,nnnmmrvn nnnvn mr,nmmn w rrnmrrmr n nr mrrrw. rv nmm mmr rrrnn r r r nmmn m mmnrnvnvr rnn mrwv rm, w n wn .r nnmr:mnr: rnr, w n rn r ^ ^n nmr ^^ w r rn. rnr rrm r m ^^E.rmnnnn nxrn vn rrn ^^ / .rr n . n nr nr ^ : n rnrmr nn r ^^#n n ^#. rnrrv r mmrvvn nE$nrnnn, w rrn - w .#r ^^4. r nxrnx ^^1 n .. . mm mn nrnnrn nmnnrnrnn vnm: mr rv n r rnr. xrnx mnrrm nn n nrr, w n ^^1rn mmrvnvrnm .nn r xnr. nr :x n ,rvn nrn vr nm^^#:nn xnnmmn r mmrrr, w rv n^^: nrrr.. rn!nnx nr,wn r:.rnrnnrnr ^^<nn rn n rn r ^^n r r nrmnwnm. n nr / nr xrn v r ^^ / , - rv mmrv rn mnn nn m. n vm r mrwvv, nvnrnr n v r rv n rnrr, n ^^m^, = ^ ^^^ ^^^n^.r, x - xrn v ^^ ^^rw rnr nnr v n rv n r nn v wv .r - m’ r n vrxrn v ,mnrn -^^.n v.r n v r n, ^^< =r^^*mrvrx nm.nvrrn,,nrv mmrv vr. r-w m mwrrn w rnn v r n, ^^< n r rvn r rnn,-rnnnr r rm.r.n rmvr, nrvnn x n v r, n r .rr, r x mmr wvn rnmnnxznn v vm r. r, n^n^nr wn nvn^^ wrn-zrn^x^ = ^^ ^^CE rnrnnnvvmn, n ^^^ =n v nr rrnrn n -rx nnrn.r,nr r- n ..^^.xm ^^nrvm vrrv rnn v w r n, ^^< =n r*nr. rn.,mmrnvmrrnnxrvnrrrvrn. rr mv nm w mrmrrzvnvrrn,nmr,n rvnn r v- r,,rnr n. rnvnrr,xr rnn, rrn,n nrz , n v nn mmrv. mr n. nnw wnv mrwnvm mmnrm mrmnxnrn. rr, mnr rn mmrv vr v,r.nn nm r m m, ^^, ^^n ^ rnn n - w ^=, ^^=, rv .rrmr, nn vn.rnzn m n ,zn rnvnnrvnm x. mn vr m ^^ = ^^ ^^<, w ^^< r-m r r n n v . n n,n ^^D, rrn n m, r nn m n nn n- r r v nx mmrnv v vrn v. w mmn nmmr rn r n n v , ^^^ = ^^^ wr ^^^r . n r^^. ^^.n r@ =r,^rx,^nnrrvnrrn ^^< =vxnrr n n.n -rnv, wrxm n rm ^^<, ^ ^^4^- mmr r rn. nrm v r rrvn r nvrnvr w m n rvrn. nm r, wnmrrrrnn wn rnm wwnvn m nrrmn mr rr n. nn -^^ ^^m r n : ^^ ^^ − ^^ ^^ ^^ ^^ ^^ n .. nr wnm nrm mvrnmrmnn rnrm nnr r- m r, wr ^^ ^^ = ^^ ^^ ^^ ^^ ^^ ^^ ^^ rrn vn- nnnvnrr. rnvrm mrrrmnn,#nr,n mz- mnrrmrz ^^ ^^#^^G7 / ,nn rnr ^^=. mr- mnG / = ^^G"^^ ^^^^ ^^ ^^, rrnn r r v mr- rn ,vrwnn mvnn. ^^ =nm^^rr^n v r vr n n v wn^<.rr v nmrr n, r mn, nnr.r n rrr nn z mmrv r v w -. rv nn mmrv vr . nrnrr nwn

Claims

nmm .. n. m mrrwwvvnm mmrvv w n rnnr rn - rm,mrn: - rn rnrw rn vn v rr, ^^ / n v r ^^, wrn<- r rnr ^^, ^^ rn v n ^^ / ,n - v n ^^ r, ^^nrr ^n^#, ^n^#rn v rnn nmnrrn - nnxrn m44n n rr ^^, ^^n rnr ^^#, ^^#nn nm mrmn.44w n nnn- r.vrwv nm mmrvv m, wr mrrnnnrn rmn n xrn mn n v nrrr ^^n, ^^.v ^^4, ^^4n nn .rrwv nm mmrvv mr, wrn n rn rrn ^^,r ^^ ^^, ^^rrn nn nm mrmnn mrwv##n n rrnzn rn .rwvnnm mm mmrvv. nmnrrn vmrvv ^^, ^^nmmmn , wrvrn rnn n rnr ^^#, ^^#.44x .nrnwv nnmm mmrvvn rrn nnnm n,m mrrv rrmn r rnr ^^, ^^ mn nn nmnrrn v r ^^4m, ^^,n w xnrnrv nn r- nwv rnnr nm ^^4.r m#, ^^m#xr.v rv wrnnmn, wnrnnnnnn nm r rnr’ ^^, ^^ nm rv . mnmwn .. .rvmmnm mmrvrv rn mr, wrn nn ^^, ^^ rmnrvn nr rnnnr ^^, ^n^mnrrn v mr4n4nn v##mnrv m m nr rnn rn mrwv n- .rmwr nvv mnvm. m mmrvv rn n m , wrn nn- rvrm n rnrn ^^#m, ^^#.mnn nnn mrmn v .rwvnrnmm mrmrvnvn vrnm,n m , wrnnn n ,nr r wrn rn r mnr,wvrn,nm mzmr,v, v.rwv nm mnmn rv n .w rnn rvv rn n m ,mrnnr mn r nnrr ^^ wn rr, ^^n,nrrrrn rn- r ^^+ +n n .rrw<v.nm mmrvv rn m, wrn w- nnrnr r w r n#r rn- .rwv nm m n=n rnnr. n nmrvv rn n m r, wrn m r, rn nmrr n n n n n- r.rwvnnnmmn mmnrrvnvrnrrrnn.m r, -n znnn mrwv rn,, rnmnmr mmrnvnv vm, r n, rn, - nn rv n nr w. m nrrvrnn mnmrrv rrnn.nn m mrrwwvv rnmm, mmmrrvn:vnmm .. wnr nnnxnrn mrrnnnrr rnrn ^mnrrn v ^^4, ^^4n n r ^, ^^ r nnn vr- nn r rnnr ^r^ / , ^^#, ^^#r wnnrnrnn rrn.n v .nmm mrr.wv nm mmrvv rn n m n

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