(QKDQꢅHGꢀ9HUERVHꢀPRGHꢀDQGꢀWKHQꢀVHQGVꢀDꢀVWUHDPꢀRIꢀGDWDꢀLWHPꢀµꢁ¶
ꢋVLJQDOꢀꢄꢀUHIHUHQꢅH-ꢎꢀIROORZLQJꢀWKHꢀꢁꢀYꢀVHTXHQꢅHꢆ
ꢈꢄꢈꢄꢃꢀ3URJUDPPLQJꢀ6HWXSVꢀWRꢀ1HZꢀ9DOXHV
7KHꢀꢂꢃꢇꢁ%ꢉꢀꢅDQꢀKDYHꢀLWVꢀ6HWXSVꢀUHSURJUDPPHGꢀE\ꢀDꢀKRVWꢀGHYLꢅHꢆ
7KLVꢀ UHSURJUDPPLQJꢀ PRGHꢀ LVꢀ LQLWLDWHGꢀ E\ꢀ VHQGLQJꢀ WKHꢀ ORZHUꢅDVH
ꢅKDUDꢅWHUꢀ µV¶ꢎꢀ ZKLꢅKꢀ KDOWVꢀ VHQVRUꢀ RSHUDWLRQꢀ DQGꢀ SODꢅHVꢀ WKHꢀ GHYLꢅH
LQWRꢀ LWVꢀ SURJUDPPLQJꢀ PRGHꢌꢀ WKHꢀ GHYLꢅHꢀ WKHQꢀ UHꢅHLYHVꢀ SURJUDP
LQIRUPDWLRQꢀDVꢀSDLUVꢀRIꢀDGGUHVVꢀDQGꢀGDWDꢀꢅRGHVꢆꢀ$Q\ꢀꢅRPELQDWLRQꢀRI
7DEOHꢀꢍꢄꢏꢀVKRZVꢀWKHꢀHTXLYDOHQꢅHꢀEHWZHHQꢀWKHꢀµV¶ꢀ6HWXSVꢀꢅRGHVꢀDQG
)XQꢅWLRQꢀ6HWXSꢀ7DEOHꢀꢃꢄꢁꢆ
ꢈꢄꢈꢄꢅꢀ5HꢆDOLEUDWLRQꢀDIWHUꢀ5HPRWHꢀ6HWXSV
WKHꢀ 6HWXSVꢀ GXULQJꢀ WKHꢀ ꢅRXUVHꢀ RIꢀ DQꢀ µV¶ꢀ VHVVLRQꢀ ꢅDQꢀ EHꢀ UHPRWHO\ 5HPRWHꢀ 6HWXSꢀ GRHVꢀ QRWꢀ ꢅDXVHꢀ WKHꢀ 47ꢂꢃꢇꢁ%ꢉꢀ WRꢀ UHꢅDOLEUDWHꢆꢀ 7KLV
SURJUDPPHGꢀWKLVꢀZD\ꢆꢀ7KHUHꢀLVꢀQRꢀWLPHꢀOLPLWꢀGXULQJꢀZKLꢅKꢀWKLVꢀKDVꢀWR SHUPLWVꢀ DOWHUDWLRQꢀ RIꢀ ꢅULWLꢅDOꢀ SDUDPHWHUVꢀ ZLWKRXWꢀ GLVWXUELQJꢀ WKH
EHꢀ SHUIRUPHGꢎꢀ VRꢀ ORQJꢀ DVꢀ WKHꢀ GHYLꢅHꢀ LVꢀ SRZHUHGꢀ WKURXJKRXWꢆꢀ 7KH VHQVLQJꢀ IXQꢅWLRQꢎꢀ DOORZLQJꢀ G\QDPLꢅꢀ DOWHUDWLRQꢀ RIꢀ EDVLꢅꢀ RSHUDWLQJ
VHTXHQꢅHꢀPXVWꢀWHUPLQDWHꢀLQꢀWKHꢀORZHUꢅDVHꢀOHWWHUꢀꢓZꢓꢀZKLꢅKꢀZULWHVꢀWKH SDUDPHWHUVꢀ ꢓRQꢀ WKHꢀ IO\ꢓꢀ ZLWKRXWꢀ GLVWXUELQJꢀ WKHꢀ GDWDꢀ VWUHDPꢀ RU
QHZꢀ6HWXSVꢀWRꢀHꢀSURPꢀDQGꢀꢅDXVHVꢀWKHꢀGHYLꢅHꢀWRꢀVHQVHꢀDJDLQꢆ
ꢅDOLEUDWLRQꢀSRLQWꢆ
$IWHUꢀ WKHꢀ ꢓZꢓꢀ LVꢀ VHQWꢀ WRꢀ WKHꢀ GHYLꢅHꢎꢀ DQGꢀ DIWHUꢀ WKHꢀ HꢀSURPꢀ LV ,Iꢀ UHꢅDOLEUDWLRQꢀ LVꢀ GHVLUHGꢀ DIWHUꢀ Dꢀ 5HPRWHꢀ 6HWXSVꢀ VHTXHQꢅHꢎꢀ IRU
VXꢅꢅHVVIXOO\ꢀUHSURJUDPPHGꢎꢀWKHꢀSDUWꢀZLOOꢀWUDQVPLWꢀEDꢅNꢀWRꢀWKHꢀKRVW H[DPSOHꢀDIWHUꢀDOWHULQJꢀWKHꢀGHYLꢅHꢓVꢀ%XUVWꢀ/HQJWKꢎꢀDQ\ꢀRIꢀWKHꢀꢓ%ꢓꢎꢀꢓEꢓꢎ
DQꢀXSSHUꢅDVHꢀꢓ$ꢓꢀꢋKH[ꢀꢇ[ꢍꢁ-ꢀDVꢀDꢀPHDQVꢀRIꢀꢅRQILUPDWLRQꢆ
ꢓ2ꢓꢎꢀRUꢀꢓRꢓꢀꢅRPPDQGVꢀꢅDQꢀEHꢀVHQWꢀDIWHUZDUGVꢀWRꢀLQGXꢅHꢀWKHꢀGHVLUHG
UHꢅDOLEUDWLRQꢆ
)ROORZLQJꢀWKHꢀWUDQVPLVVLRQꢀRIꢀWKHꢀLQLWLDWLQJꢀµV¶ꢎꢀWZRꢄE\WHꢀ6HWXSꢀ3DLUV
RIꢀꢅRGHVꢀPXVWꢀEHꢀVHQWꢒ
ꢈꢄꢈꢄꢇꢀ8$57ꢀ(YRNHꢀ'DWDꢀLQꢀ3ROOHGꢀ0RGH
,QꢀSROOHGꢀPRGHꢀWKHꢀ47ꢂꢃꢇꢁ%ꢉꢀZLOOꢀUHWXUQꢀDQ\ꢀGDWDꢀLWHPꢀGHVꢅULEHGꢀIRU
9HUERVHꢀ0RGHꢀLQꢀ6HꢅWLRQꢀꢍꢆꢉꢆꢀ7KHꢀKRVWꢀGHYLꢅHꢀPXVWꢀVHQGꢀDQꢀHYRNH
ꢅKDUDꢅWHUꢀIURPꢀ$6&,,ꢀꢓꢇꢓꢀWKURXJKꢀꢓꢔꢓꢀWRꢀꢅDXVHꢀWKHꢀGHYLꢅHꢀWRꢀUHVSRQG
ZLWKꢀWKHꢀꢅRUUHVSRQGLQJꢀGDWDꢀLWHPꢀꢋVHHꢀDOVRꢀ7DEOHꢀꢍꢄꢉ-ꢆꢀ2QO\ꢀRQHꢀE\WH
LVꢀUHWXUQHGꢀDIWHUꢀHDꢅKꢀHYRNHꢀꢅRGHꢎꢀZLWKꢀQRꢀWHUPLQDWLQJꢀ&5ꢀRUꢀ&5ꢈ/)ꢆ
ꢋꢁ-ꢀ$ꢀ6HOHꢅWꢀꢅRGHꢎꢀIURPꢀKH[ꢀꢇ[ꢇꢁꢀꢋꢁꢀGHꢅLPDO-ꢀWRꢀꢇ[ꢁꢃꢀꢋꢉꢑꢀGHꢅLPDO-
ZKLꢅKꢀꢅRUUHVSRQGVꢀWRꢀWKHꢀNH\ERDUGꢀꢅRQWUROꢀꢅKDUDꢅWHUVꢀADꢀWKURXJK
AZꢀ ꢋꢅRQWUROꢄDꢀ ꢆꢆꢆꢀ ꢅRQWUROꢄZ-ꢆꢀ ꢇ[ꢇꢁꢀ ꢅRUUHVSRQGVꢀ WRꢀ 6HOHꢅWꢀ ,WHPꢀ ꢇꢌ
ꢇ[ꢁꢃꢀꢅRUUHVSRQGVꢀWRꢀ6HOHꢅWꢀ,WHPꢀµ8¶ꢆꢀ6HHꢀ7DEOHꢀꢍꢄꢏꢆꢀ7KLVꢀDꢅWVꢀDV
DQꢀDGGUHVVꢀLQWRꢀWKHꢀHꢀSURPꢀORꢅDWLRQVꢆ
ꢈꢄꢈꢄꢈꢀ/DVWꢊ&RPPDQGꢀ(YRNH
ꢋꢉ-ꢀDꢀ6HWWLQJꢀꢅRGHꢀIURPꢀDVꢅLLꢀµꢇ¶ꢀWKURXJKꢀµꢂ¶ꢀꢋKH[ꢀꢇ[ꢑꢇꢀꢆꢆꢆꢀꢇ[ꢑꢂ-ꢆ
,QꢀSROOHGꢀPRGHꢎꢀWKHꢀKRVWꢀꢅDQꢀLQWHUURJDWHꢀWKHꢀGHYLꢅHꢀWRꢀVHHꢀLIꢀWKHꢀODVW
ꢅRPPDQGꢀVHQWꢀZDVꢀSURSHUO\ꢀUHꢅHLYHGꢀXVLQJꢀWKHꢀꢅKDUDꢅWHUꢀꢓOꢓꢀꢋ/RZHU
ꢅDVHꢀ/ꢎꢀ$6&,,ꢀꢅRGHꢀꢇ[ꢏꢅ-ꢆꢀ7KLVꢀLVꢀXVHIXOꢀWRꢀREWDLQꢀSRVLWLYHꢀIHHGEDꢅN
WKDWꢀDꢀꢅRPPDQGꢀZDVꢀUHꢅHLYHGꢀIURPꢀWKHꢀKRVWꢆ
(DꢅKꢀ SDLUꢀ ZLOOꢀ DOWHUꢀ WKHꢀ ꢅRUUHVSRQGLQJꢀ 6HOHꢅWꢀ LWHPꢀ WRꢀ EHꢀ WKHꢀ QHZ
6HWWLQJꢀꢅRGHꢎꢀIURPꢀꢇꢀWKURXJKꢀꢂꢆ
$VꢀPDQ\ꢀSDLUVꢀDVꢀUHTXLUHGꢀPD\ꢀEHꢀVHQWꢎꢀHYHQꢀWRꢀRYHUZULWHꢀSULRUꢀSDLUV
VHQWꢀLQꢀWKHꢀVDPHꢀVHVVLRQꢀLIꢀDꢀPLVWDNHꢀLVꢀPDGHꢆꢀ12ꢀ&5ꢈ/)ꢀ&2'(6
VKRXOGꢀ LQDGYHUWHQWO\ꢀ EHꢀ VHQWꢀ DIWHUꢀ SDLUꢀ ꢅKDUDꢅWHUVꢎꢀ RUꢀ DWꢀ DQ\ꢀ WLPHꢆ
&5ꢈ/)ꢀꢅRGHVꢀꢅRUUHVSRQGꢀWRꢀꢅRGHVꢀꢇ[ꢇGꢀDQGꢀꢇ[ꢇDꢎꢀZKLꢅKꢀDUHꢀYDOLG
6HOHꢅWꢀꢅRGHVꢀGXULQJꢀ5HPRWHꢀ6HWXSVꢆꢀꢋ&5ꢀ ꢀ&DUULDJHꢀ5HWXUQꢎꢀ/)ꢀ
/LQHꢀ )HHGꢌꢀ WKHVHꢀ DUHꢀ RIWHQꢀ DꢅꢅRPSDQLHGꢀ DXWRPDWLꢅDOO\ꢀ E\ꢀ PDQ\
SURJUDPVꢀ ZKHQꢀ GDWDꢀ LVꢀ VHQWꢎꢀ DQGꢀ DVꢀ VXꢅKꢀ VKRXOGꢀ $/:$<6ꢀ EH
VXSSUHVVHGꢀLQꢀDQ\ꢀLQWHUDꢅWLRQꢀZLWKꢀWKHꢀꢂꢃꢇꢁ%ꢉ-ꢆ
,QꢀꢅDVHVꢀZKHUHꢀDꢀVHTXHQꢅHꢀRIꢀLGHQWLꢅDOꢀꢅRPPDQGVꢀDUHꢀLVVXHGꢎꢀVXꢅK
DVꢀDꢀVWULQJꢀRIꢀꢓEꢓꢀꢅRPPDQGVꢎꢀDꢀQRQIXQꢅWLRQDOꢀGXPP\ꢀꢅKDUDꢅWHUꢀꢅDQ
EHꢀVHQWꢀWRꢀWKHꢀGHYLꢅHꢀꢋVXꢅKꢀꢅKDUDꢅWHUVꢀDUHꢀDOVRꢀPLUURUHGꢀEDꢅNꢀWRꢀWKH
KRVWꢌꢀ 6HHꢀ ꢍꢆꢍꢆꢃꢀ EHORZ-ꢀ WRꢀ DꢅWꢀ DVꢀ Dꢀ VHSDUDWRUꢎꢀ HQVXULQJꢀ WKDWꢀ WKH
/DVWꢄ&RPPDQGꢀE\WHꢀUHWXUQHGꢀLQꢀIDꢅWꢀUHODWHVꢀWRꢀWKHꢀLPPHGLDWHO\ꢀSULRU
E\WHꢀVHQWꢀWRꢀWKHꢀGHYLꢅHꢎꢀDQGꢀQRWꢀDꢀE\WHꢀVHQWꢀHDUOLHUꢀLQꢀWKHꢀVHTXHQꢅHꢆ
$Q\ꢀ$6&,,ꢀꢅRGHꢀQRWꢀVKRZQꢀLQꢀ7DEOHꢀꢍꢄꢁꢀZLOOꢀZRUNꢀDVꢀDꢀVHSDUDWRUꢆ
$ꢀW\SLꢅDOꢀ 5HPRWHꢀ6HWXSꢀVHVVLRQꢀ PLJKWꢀORRNꢀ OLNHꢀꢋXQLWꢀDOUHDG\ꢀ VHWꢀWR
3ROOHGꢀ0RGH-ꢒ
ꢈꢄꢈꢄꢋꢀ5HPRWHꢀ6HWXSꢀRIꢀ6HULDOꢀ0RGHꢀꢌꢀ%DXGꢀ5DWH
3URJUDPPLQJꢀYLDꢀ5HPRWHꢀ6HWXSꢀRIꢀ>*@ꢀLVꢀWUHDWHGꢀDVꢀDꢀVSHꢅLDOꢀꢅDVHꢆ
7Rꢀ IDꢅLOLWDWHꢀ ꢅRQWLQXHGꢀ ꢅRPPXQLꢅDWLRQꢀ DIWHUꢀ Dꢀ EDXGꢀ UDWHꢀ RUꢀ VHULDO
PRGHꢀꢅKDQJHꢎꢀWKHꢀGHYLꢅHꢀZLOOꢀRQO\ꢀEHJLQꢀWKHꢀQHZꢀVHULDOꢀVHWWLQJꢀDIWHUꢀLW
LVꢀUHVHWꢆꢀ7KLVꢀꢅDQꢀEHꢀDꢅꢅRPSOLVKHGꢀE\ꢀXQSRZHULQJꢀWKHꢀGHYLꢅHꢎꢀRUꢀE\
H[HꢅXWLQJꢀDꢀ5HVHWꢀꢅRPPDQGꢀꢓUꢓꢀꢋVHHꢀEHORZ-ꢆ
VꢀADꢀꢑꢀALꢀꢁꢀAGꢀꢍꢀAVꢀꢁꢀADꢀꢐꢀZ
ꢒSDXVHꢀZKLOHꢀXQLWꢀUHꢄDOLEUDWHV.ꢀWKHQꢈꢈꢈ!ꢀꢁꢀY
1RWHꢀWKDWꢀAVꢀꢋꢅRQWUROꢄµV¶ꢎꢀVDPHꢀDVꢀ6HOHꢅWꢀLWHPꢀµꢕ¶-ꢀLVꢀRIWHQꢀLQWHUꢅHSWHG
E\ꢀ WHUPLQDOꢀ SURJUDPVꢀ DQGꢀ PD\ꢀ QRWꢀ DꢅWXDOO\ꢀ EHꢀ VHQWꢀ IURPꢀ WKHꢀ KRVW
ZKHQꢀVRꢀGHVLUHGꢆꢀ7KHUHꢀDUHꢀXVXDOO\ꢀZD\VꢀDURXQGꢀWKLVꢆꢀµZ¶ꢀSURJUDPV
WKHꢀ HꢀSURPꢀ DQGꢀ UHꢅDOLEUDWHVꢀ WKHꢀ VHQVRUꢀ EHIRUHꢀ UXQQLQJꢀ ꢋXQOHVVꢀ LQ
,QVWDQWꢀ6WDUWꢀPRGHꢎꢀLQꢀZKLꢅKꢀꢅDVHꢀWKHꢀVHQVRUꢀMXVWꢀUXQVꢀDJDLQ-ꢆꢀ1RWH
DOVRꢀ WKDWꢀ WKHꢀ VHꢅRQGꢀ ADꢀ SDLUꢀ ꢋADꢀ ꢔ-ꢀ RYHUULGHVꢀ WKHꢀ ILUVWꢀ RQHꢌꢀ WKXVꢎ
'HWHꢅWꢀ7KUHVKROGꢀLVꢀVHWꢀWRꢀµꢔ¶ꢀꢋꢏꢀꢅRXQWVꢀRIꢀWKUHVKROGꢀOHYHOꢀDVꢀVKRZQ
LQꢀ 7DEOHꢀ ꢃꢄꢁ-ꢆꢀ $IWHUꢀ WKHꢀ UHꢅDOLEUDWLRQꢎꢀ WKHꢀ XQLWꢀ LVꢀ SODꢅHGꢀ EDꢅNꢀ LQWR
ꢈꢄꢈꢄꢎꢀ)RUꢆHGꢀ5HVHWꢀ&RPPDQG
7KHꢀ47ꢂꢃꢇꢁ%ꢉꢀꢅDQꢀEHꢀIRUꢅLEO\ꢀUHVHWꢀE\ꢀVHQGLQJꢀLWꢀWKHꢀ$6&,,ꢀOHWWHUꢀꢓUꢓ
ꢋORZHUꢀꢅDVHꢀ5-ꢀWZLꢅHꢀLQꢀVXꢅꢅHVVLRQꢆꢀ$IWHUꢀWKHꢀILUVWꢀꢓUꢓꢀLVꢀUHꢅHLYHGꢎꢀWKH
GHYLꢅHꢀZLOOꢀPLUURUꢀEDꢅNꢀWKHꢀOHWWHUꢀꢓUꢓꢀRYHUꢀWKHꢀVHULDOꢀSRUWꢆꢀ$IWHUꢀLWꢀKDV
UHꢅHLYHGꢀWKHꢀVHꢅRQGꢀꢓUꢓꢎꢀLWꢀZLOOꢀWUDQVPLWꢀWKHꢀOHWWHUꢀꢓ5ꢓꢀꢋꢅDSLWDOꢀ5-ꢆꢀ7KH
WZRꢀ)RUꢅHGꢀ5HVHWꢀꢅRPPDQGꢀꢅKDUDꢅWHUVꢀPXVWꢀEHꢀVHQWꢀZLWKLQꢀDꢀꢂꢇPV
WLPHVSDQꢀRWKHUZLVHꢀWKHꢀꢅRPPDQGꢀLVꢀꢅDQꢅHOHGꢆꢀ$OVRꢎꢀWKHꢀKRVWꢀVKRXOG
7$%/(ꢂꢆꢄꢊꢂꢄꢂ5(027(ꢂ6(783ꢂ&2'(6ꢀꢀꢀꢀꢁUHIHUꢀDOVRꢀWRꢀ7DEOHꢀꢏꢊꢃꢂ
6HOHꢆW
'HVꢆULSWLRQ
$6&,,
+H[
6HOHꢆW
'HVꢆULSWLRQ
$6&,,ꢀ
+H[
ꢉ
ꢈ
ꢇ
ꢆ
ꢅ
ꢄ
ꢃ
ꢂ
ꢁ
ꢀ
$
%
'HWHꢋWꢇ7KUHVKROG
+\VWHUHVLV
ꢔD
ꢔE
ꢔꢋ
ꢔG
ꢔH
ꢔI
ꢂ[ꢂꢃ
ꢂ[ꢂꢄ
ꢂ[ꢂꢌ
ꢂ[ꢂꢆ
ꢂ[ꢂꢉ
ꢂ[ꢂꢑ
ꢂ[ꢂꢁ
ꢂ[ꢂꢊ
ꢂ[ꢂꢀ
ꢂ[ꢂ$
ꢂ[ꢂ%
ꢂ[ꢂ&
&
'
(
)
0D[ꢇ2Qꢅ'XUDWLRQ
'HWHꢋWLRQꢇ0RGH
&DOLEUDWLRQꢇ&RQWURO
'ULIWꢇ6WRUHAꢇ'DWDꢇ/RꢋNLQJ
6HULDOꢇ0RGHV
ꢔP
ꢔQ
ꢔR
ꢔS
ꢔT
ꢔU
ꢂ[ꢂ'
ꢂ[ꢂ(
ꢂ[ꢂ)
ꢂ[ꢃꢂ
ꢂ[ꢃꢃ
ꢂ[ꢃꢄ
ꢂ[ꢃꢌ
ꢂ[ꢃꢆ
ꢂ[ꢃꢉ
ꢂ[ꢃꢑ
ꢂ[ꢃꢁ
5HIHUHQꢋHꢇ2IIVHW
XQXVHG
ꢕLGWKꢇ3RWV
*
+
-
%XUVWꢇ/HQJWK
%XUVWꢇ6SDꢋLQJ
5DQGRPL]H
9HUERVHꢇ'DWD
3RODULWLHV
ꢔJ
ꢔK
ꢔL
ꢔV
ꢔW
/
2XWSXWꢇ6WUHWꢋK
XQXVHG
'ULIWꢇ5DWH
1
3
8
ꢔX
ꢔY
ꢔZ
XQXVHG
0HGLDQꢇ)LOWHU
%R[ꢋDUꢇ$YHUDJH
'HWHꢋWꢇ,QWHJUDWRU
ꢔM
ꢔN
ꢔO
0RGHꢇꢏꢇ63,ꢇ'DWDꢇ2XWSXW
ꢀꢏ
QUANTUM [ QUANTUM RESEARCH GROUP ]
