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'£t29vEEFfz⇒iFuFItH¥¥
)Bosousamptf
AaronsonHadanard Test
. Iap - Arkhipoiaj
irate 's "H÷¥¥¥hE:d;¥÷#=1.EEK.dk#EEnl?=*rEokI2
DQCT ( one - deanqabtemodel )
kill - Laflamme.
PRL '98
Tones '72kFa2GHh.
Shor . Jordan Quarter Into . & Comp .
Hardness atop cof .
Morine - Fuji - Fitzsimons PRL94Fujii etal ICALP 96 GnXiv95 )
10>-0+12-67
vk.IQ#FEEt3EsEf ,Aharonovetal arXivc05
lsttt) = fate" " Ylxiscxil
÷ ( I - o ) = { ( I - e⇐" "
) lxixxil
E
P → &E+⇒pc←o5rhEHpC⇐⇒+
axejscijlxisciylECp£=#y¢ke⇐imja+e#'s )+4 - ed 's Ct Ee ' " ) }{ ( ffix ) = Pfix £ ' ) .
as Icy ( ie⇐"" ' → ' )
Itf At a"
di F Xj EGZE .
Cy to as' ri Ts ) .
Pfk 12 II Kaila IEEE .→ Hadamard test 2
" Eti × "
at THEE eaiazyhikxiHad "↳ ' "LKFKBZ , '
Part ZFEFEEYZJE.
e - fIzaEt¥EtF .
p → p'= ECP )
t'
FEE9571 rafter,
= CPTPITBAcompletely post't 've
*positive trace presents.
P '= ECP ) 30
acompletenessEQIsfao ) do•Trcqp ) )=1 .
CPTP a Kraus Efte
Ecp )=IaEapEI .
o Fatrvh .F-
QHDT.EE#k.ctfizausEiFsEA'ek
.
%"
µµ+pM )1¥,
£¥*? inotisinozoz
= =p#e¥d→¥→.ie#reee
'
I 'v7=7" c UJZ,
rIrEatTEaiLnETtEn5bu-sreduceddenstymatrlxKtloXoHasF@7oxrtEplnxoDtiMtDalbTtxagn.iaxas.l
rata
ECP ) = ftp.#ozp aF9k¥ ¥2 " iibilzaitfta 73 .
o ¥23112"
capsize. ECP ) - Ea ,EaPEI
\Kraus Fahd
.
( [k#tiI ← Tree pD=TrG¥a$An ) 107 → EFEKPEMDYXETFR .
4-ptkolt p11741
Excp )= ctpp +1¥E '→fQ¥Eh} -
Ez (p ) = Ctp ) PtpzpztkF#E#Z[ 3-
.Kennett's":$YkikFyE¥£7 kziet 'll .
XP
-1Pakilo>aHcnF&p*pal+x*pnxoDtiMtD4fzet latloxoltlethkrl -ECP )='ftp.#ozp2
F9k¥ ¥2 " iiD4Zaikk#R3 ,
bBtflF.yZT3EdshorJqnETIeeeIYFIk.ua.iFighteutaugtementwHreueaybnendlbyPreskl4Llo7tptD-L1ooo7tP111DAh-zoIo-sA0td1ooo3lmn72yIREyfzhEsR.zRzIpbEPrDn5BTtcodespace@I3-l.FEftIFoEee.imnesHraorliomsMximooaEFEk5yk10717077xx.x3diytkEhI5-aiEE4h3EEkRa99En.S
totalizer
ZZZ ,ZR}a#FtEE' RYHEEFRPpg .tt#.EtTBweTikI5fEDZ .
a 2745441454'
( Gottesman'
97 )
zyEk#B4 /an
o.GEft NDYETL , fcftttigxthkqz }. 'S ; ,§Ef ,[Si , 570 . FFFE .•
- Zeff ETAKE . 'Ll .HE '5h'THiYv
S , IE > = IE > foray C .
either '¥tlE7
(1/311) { 5×1×2,72+-4.424=4'xixyZkDEFXE .→ ( 100>+1717)fE
ostqubkcode
.gJEEacibYFkY39
s ,=z××zTt.DE#EEeoHtiH..zFg '
'
Sz - [ ZXXZ
s}=zIzx× f1&7=/E > forallt
S¢= XZTZX FI ' ftp.zakfz#iF43 ,
2%4=2*04
"*H¥.a¥µ=÷tI!t¥¥*EIE÷*⇐**EY¥÷fEEK SNSL ,
EFFFF.
HDSKFT )
→ S :(EIED :(EIED Pastawskifetal
't
S~S¢{ Kiss ,steal
" subspace ^ .
Lato7=157,↳lT7=tMLxlzz - Lz↳t 's LXIJ7=1 I >
No >+ph > → XIJ >t BIT >
/ J >=¥( 000007+1100107+101001>+401007+1010107-1110117-1001107-111000)
-1111017-1000117-111110>-1011117
-1100017-101100>-1101117+1001013{Etf±n- f- vacant ! !
o YIFEZEZKNKI ( code distance )
D= mywt C L )
logicaloperated 5£21 - AD 'HEIt5Q
.
↳ = X*5 KK ) wtltexzoy= 2
.
↳ Sa = TTIY × wtkxs , ) =3,
theological operator
Fqubte code D code ¥1
TYTFEEZHIE
'=¥Fs#BER¥oFs÷¥4 ,
as -% le 's=xio7ta¥¥3-/ ' daifatofkN54IEs¥itebbh¥#Htz
.
€n¥fFER⇒9Isi 'B2EZ
.
d=3 → loose '7e£5IE.
EREEIYHIAEEERERGBSY .Y 6iBtaIst" oh .
Fnqubkahx .AZ#bfkCx.4.z)a23-3×5=15
15+1=16 .⇒ - kssfixa
⇒⇒uailH1£Tw
.
S ,~S -49172154 .EE#24YiE55E.
X , → ( +1 .tl , -1 ,tl ) Kph '¥Pi8Ekk°BY
Zy→ Ctbtl , -1 , -1 ) F¥tBixI7*¥cT( YK )→C⇒HH , -1 ) Ocpz )
oIzaEbEYFt5eFtzH4ZECpHIEfEgkGftz3EyH.gpyegeEzersPE5tdu.HFZa3EaAlEXElAIalExeItEp.x.Y.Zlp9BitEiiEiRcps-5gRePRetEIa2.ReAlE7x1ey.aEBatnzu3@R.E
a#a=?Eat Cit CIX+C!Y+c£z
Re Ehle 7 X le >stalk .
R.EC#ehEeEReErfkIRe=khEI
t :#Faith