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QUANTUM INFORMATION:FUTURE OF MICROELECTRONICS?
PAWEL HAWRYLAKQUANTUM THEORY GROUP
INSTITUTE FOR MICROSTRUCTURAL SCIENCESNATIONAL RESEARCH COUNCIL OF CANADA
OTTAWA, K1AOR6,CANADA
CANADIAN INSTITUTE FOR ADVANCED RESEARCHNANOELECTRONICS AND PHOTONICS PROGRAMME
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WHY QUANTUM INFORMATION:FUTURE OF MICROELECTRONICS?
CMOS IS A MARVEL OF TECHNOLOGY
YET WITH EXISTING TECHNOLOGY MANY PROBLEMS ARE LIKELY TO REMAIN UNSOLVED:
• QUANTUM MATERIALS• NANOSCIENCE-MULTISCALE PROBLEMS• DRUG DESIGN AND DISCOVERY• HARD MATHEMATICAL PROBLEMS – FACTORIZATION OF
PRIME NUMBERS (SECURITY OF INFORMATION)
HENCE QUANTUM HARDWARE
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QUANTUM THEORY AND QUANTUM INFORMATION
QMechanics: EPR, superposition, entanglement, …
Condensed Matter SuperfluiditySuperconductivity Fractional charge FQHEMesoscopics, interferenceQuantum materials????????????
Quantum information:Quantum computing Quantum cryptographyQuantum imagingQuantum sorting…
Materials Science: Correlations,mesoscopics,…
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1 1 1 1 1
1 2 3 4 5 6 7 8 9 10 11 12
How Many Configurations? 7925
12
610210
24
7010100
240
Number of atoms on Earth?
Quantum register
|1 1 0 0 1 0 0 1 0 1 0 0 >
QUANTUM THEORY AND QUANTUM INFORMATION
resourcesbits
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QUANTUM ABACUS MADE OF HUNDRED BITSIS MORE POWERFUL THAN CLASSICAL ABACUS BUILD OF ALL ATOMS ON EARTH
abacus – 500 AD – 10 additions / min
QUANTUM THEORY AND QUANTUM INFORMATION
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|0 0 1 1 0 1 >
QUANTUM INFORMATION 101QUANTUM ALGORITHMS
Spin configuration=|K>
= binary decomposition of number K
QuantumBits,GatesAlgorithm
QUANTUM COMPUTATION
00000|1|)0(| tinitialize
Measure )()(|1 1 TAT
...2|)(1|)()(| 21 tAtAtTime t
Evolve to
final target state 0 T
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QUANTUM CRYPTOGRAPHY
QUANTUM HARDWARE AND INFORMATIONDECOHERENCE
•QUANTUM STATES ARE FRAGILE
•ERROR CORRECTION IS POSSIBLE
•OVERHEAD IS VERY HIGH
QUANTUM METROLOGY
QUANTUM NMR……
SOLUTION: FEW QUBITS EMBEDDED IN CLASSICAL SYSTEMS FIRST APPLICATIONS?
QUANTUM ECONOMICS?
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QUANTUM INFORMATION APPLICATIONS
FEW QUBITS – EMBEDDED IN CLASSICAL SYSTEMS FIRST APPLICATIONS?
QUANTUM CRYPTOGRAPHY
QUANTUM ECONOMICS
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QUANTUM INFORMATION 101APPLICATIONS - QUANTUM ECONOMICS
HP LABS, PALO ALTO
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QUANTUM INFORMATION 101APPLICATIONS - QUANTUM ECONOMICS
WHY QUANTUM GAMES?
BIDDING, CONFLICT • ONLY FEW PLAYERS• HIGH PAY-OFF• OF INTEREST NOT ONLY TO PHYSICISTS
“PRISONER DILEMMA” - COOPERATE “C” - DEFECT “D”
QUANTUM GAMEREMOVES DILEMMAOPTIMIZES PAYOFF
Quantum Bidding – 2 Qubits –HP Labs-S.Williams
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QUANTUM HARDWAREBUILDING FEW QUBITS IN SOLID STATE
QUANTUM HARDWARE
BUILDING FEW QUBITS IN SOLID STATEUSING MICROELECTRONICS
ELECTRON SPINNUCLEAR SPIN –NMRSUPERCONDUCTIVE QUBITSATOM/ION TRAPSATOM CHIPSLINEAR OPTICS…….
QCOMPUTING WITH QDOTSBarenco et al. 1995Brum PH 1997Loss DiVincenzo 1998
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TOWARD ELECTRON SPIN BASED QUANTUM COMPUTER
IN A FIELD EFFECT TRANSISTOR
QComputing with Qdots:Brum&Hawrylak ’97Loss&DiVincenzo ‘98
NANOSCIENCE WITH SINGLE ELECTRONS
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ELECTRON SPIN BASED QUANTUM COMPUTER
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local field tunable entanglement J
2D electron gas atGaAs/AlGaAs
AlGaAs
90 nm
SOURCE
DRAIN
LOCALISINGCONTROLLED NUMBER OF ELECTRONS 1-100
GaAs
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off on
artificialatom
source
drain
NANO SPINTRONICS SINGLE SPIN TRANSISTOR
SINGLE SPIN TRANSISTOR
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=2
N=17
ODD NE
CURRENT
ODD NE
B
N=16
N=18
NANO SPINTRONICS SINGLE SPIN TRANSISTOR
Sachrajda,Ciorga,PH,..IMS NRC,PRL’02
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1 2IQPC
A.Sachrajda,M.Pioro-Ladriere,PH, Ottawa
(5,0) (6,1) (7,2) (9,4)
(0,0)
(1,1)(1,0)
(0,1)
TUNING TUNELING BARRIER
L.Kouwenhoven et al, DelftS.Tarucha et al TokyoC.Marcus et al, HarvardM.Heiblum et al, Weizman
ELECTRON SPIN BASED QUANTUM COMPUTER
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local field tunable entanglement J
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ELECTRON SPIN BASED QUANTUM COMPUTERTWO QUBITS
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local field tunable entanglement J
1 2IQPC
1 m
(0,0)
(1,0)
(0,1)
V2 / V
V1
/ V
+0.30-0.70
-0.75
0.0
(N1,N2) = (0,0)
(3,0)
(2,0)
(4,0)
(5,0)
(3,1)
(2,1)
(4,1)
(5,1)
(6,1)
(4,2)
(5,2)
(6,2)
(7,2)
(5,3)
(6,3)
(7,3)
(6,4)
(7,4)
(8,4)
(9,4)
(6,5)
(75)
(8,5)
(9,5)
(1,1)(1,2)
(5,4)
(2,3)
(3,3)
(4,3)
(3,4)
(4,4)
(4,5)
(5,5)
A.Sachrajda,M.Pioro-Ladriere,PH PRL2003, PRB2005
(1,0)
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ELECTRON SPIN BASED QUANTUM COMPUTERTWO QUBITS-WHY TUNABLE J?
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local field tunable entanglement J(1,0)
Loss,DiVincenzo
J12=0 J12>0 J12>0 J12=0t=0 t=T
SPIN SWAPPINGBASIS OF CNOT GATE
…. ….|01> |10>
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ELECTRON SPIN BASED QUANTUM COMPUTERCOHERENT CODED QUBIT OPERATION
Swapping spinsRabi oscillationsQuantum Optics on a chip
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ELECTRON SPIN BASED QUANTUM COMPUTERTHREE QUBITS-TRIPLE QUANTUM DOT
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local field tunable entanglement J(1,0)
-0.40 -0.35 -0.30 -0.25 -0.20
-0.20
-0.25
-0.30
-0.35
5B gate (V)
1B gat
e (V)
-8 -6 -4 -2 0 2
bs
Transconductance left detector sep30100s (minus background)
V5B(V)
V1B(V)
(0,0,0)
(1,1,0)
(0,1,0)
(0,0,1)
(1,0,0)
(0,1,1)
(1,1,1)
-0.25
-0.30
-0.25-0.40
CB
A
A
B
B
A
CBA
IQPC
1B 3B 5B
3T
S
0.5m2B 4B
A.Sachrajda,S.Studenikin,L.Gaudreau,A.Kam, M.Korkusinski, PH, PRL2006
(5,0) (6,1) (7,2)
-0.4100 -0.4050 -0.4000 -0.3950 -0.3900
-0.3750
-0.3775
-0.3800
-0.3825
-0.3850
col
row
6.25 7.50 8.75 10.00 11.25
nov01100s_grey_4_x
-0.375
-0.385
-0.41 -0.39
V5B(V)
V1B(V)
N=3
N=2
N=2
N=2N=3
(1,1,1)
(0,1,2)N=4
N=1
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ELECTRON SPIN BASED QUANTUM COMPUTERTRIPLE QUANTUM DOT-CODED QUBIT
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local B field tunable entanglement J
M.Korkusinski, PH,SSC2005
S=1/2
)( 321 SSSV
CODED QUBIT
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ELECTRON SPIN BASED QUANTUM COMPUTERPROBLEMS AND CHALLENGES
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local field tunable entanglement J(1,0)
Single spin – Koppens, Kouwehoven et al,Nature2006 Operation - Pioro-Ladriere, Tarucha et al.
Coherent two spin operation, Single coded qubit operation – Petta,…,Marcus- Koppens, …,Kouwehoven
Coherent spin manipulation over minutes!- Greilich,Bayer,…Science 2006
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ELECTRON SPIN BASED QUANTUM COMPUTERPROBLEMS AND CHALLENGES - DECOHERENCE
Model of QComputer : interacting qubits Sjijiii SJSBSH
Effective qubit local field tunable entanglement J(1,0)
DECOHERENCE – NUCLEAR SPINS, SO+PHONONS,IMPURITIES
SOLUTIONS? MATERIALS WITHOUT NUCLEAR SPIN
2-6, CARBON NANOTUBES, GRAPHENE?
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LOCALIZED VS ITINERANT ELECTRONSHUBBARD MODEL
A WINDOW ON QUANTUM MATERIALS:
COMPLEX OXIDES WITH TRIANGULAR LATTICE
NaxCO2
TRIPLE QDOT MOLECULESSPIN, TOPOLOGY, STATISTICS AND E-E CORRELATIONS
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triplet singlet
Exchange Vx
~Vx~e^2
S=0
S=1
21
21
21
21
Singlet – double occupancy
Super-Exchange
~4t^2/U~1/e^2 S=0
S=1
t
TRIPLE QDOT MOLECULESSPIN, TOPOLOGY, STATISTICS AND E-E CORRELATIONS
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0|
12ccA
0|23 ccC
32
1
32
1
321213
123123
132321
ˆ
EEtt
tEEt
ttEE
H
triplet
TRIPLE QDOT MOLECULESSPIN, TOPOLOGY, STATISTICS AND E-E CORRELATIONS
0|
13ccB
32
1
321213
123123
132321
ˆ
EEtt
tEEt
ttEE
H
singlet
PH,Korkusinski,SSC2005
S=1SINGLET GS!TOPOLOGICAL “HUNDS” RULE!SPIN-CHARGE SEPARATION?
S=0
~t
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TRIPLE QDOT MOLECULESFILLING LOWEST ELECTRONIC SHELL
3t
3t
3t
2e SINGLET
4e TRIPLET
3t4e SINGLET
Voltage tunable nano-magnet-1V
-1.1V -1.1V
-2.5V -2.5V
0V 0V
0V
Korkusinski,Puerto,PH….. PRB2007
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QUANTUM INFORMATION APPLICATIONS
FEW QUBITS – EMBEDDED IN CLASSICAL SYSTEMS FIRST APPLICATIONS?
QUANTUM CRYPTOGRAPHY – QUANTUM KEY DISTRIBUTION
SINGLE PHOTONS-SECURE-NO CLONING-SHORT DISTANCE
ENTANGLED PHOTON PAIRS-QUANTUM REPEATER-LONG DISTANCE
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ENABLING TECHNOLOGY FOR QUANTUM CRYPTOGRAPHY:
•SOURCE OF SINGLE PHOTONS ON DEMAND
•SOURCE OF ENTANGLED PHOTON PAIRS
QUANTUM INFORMATIONQUANTUM CRYPTOGRAPHY-WHATS NEEDED?
ENABLING TECHNOLOGY :SELF-ASSEMBLED QUANTUM DOT DEVICES
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QUANTUM DOT TECHNOLOGY REQUIREMENTSFOR QUANTUM CRYPTOGRAPHY:
•EMISSION AT TELECOM WAVELENGTH-MATERIALS
•ENHANCED LIGHT MATTER INTERACTION-QDOTS IN PHOTONIC CAVITIES
-PRECISE POSITIONING OF QDOTS
•ENGINEERING OF LIGHT POLARIZATION-FULL UNDERSTANDING OF AND ABILITY TO ENGINEER
OPTICAL PROPERTIES OF QDOT
QUANTUM INFORMATIONQUANTUM CRYPTOGRAPHY
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STRAIN DRIVEN SELF-ASSEMBLY: InAs/GaAs
DIRECTED SELF-ASSEMBLY VIA LITHOGRAPHY: InAs/InP at 1.5m SiO2
mask InAs dot
InP pyramid
ARTIFICIAL ATOM FACTORY
GROWTH AND POSITIONING OF QDOTS EMITTING AT TELECOM WAVELENGTH
Williams,Poole,…IMS
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GROWTH AND POSITIONING OF SINGLE QDOTS GATING OF A SINGLE QDOT
M.Reimer,J.Lapointe,P.Poole, R.Williams,…
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EXTRACTING SINGLE PHOTONSSINGLE QUANTUM DOT IN A CAVITY
InAs dot
InP pyramid
sa
saQ>8000
TuningPhotonFieldInsidecavity
Dalacu,Aers,Williams, Poole
POSITIONING DOTS INE-FIELD MAXIMA
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ENTANGLED PHOTON PAIRS FROM EXCITON TO BI-EXCITON CASCADE
QUANTUM INFORMATIONQUANTUM CRYPTOGRAPHY
Entangled Photon Pairs From a Semiconductor Quantum Dot, Akopian, Gershoni, Avron, Petroff,……PRL 2006
ORSPLITTING
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QUANTUM INFORMATIONQUANTUM CRYPTOGRAPHY-MATERIALS CHALLENGE
InAs/InP
NICE,PROOF OF CONCEPT,BUT NOT AT TELECOM WAVELENGTH!~0.8eV
InAs/GaAs
(8,5)
0.80 0.85 0.90 0.95 1.00 1.05
1.70
1.65
1.60
1.55
Emission energy (eV)
Exci
tatio
n en
ergy
(eV)
4000 8000
Lefebvre,Finnie,IMS
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jiji
ii
SJS
BSH
TOWARD QUANTUM INFORMATION WITH QUANTUM DOTS
““Crossing”Crossing”
(8,5)
0.80 0.85 0.90 0.95 1.00 1.05
1.70
1.65
1.60
1.55
Emission energy (eV)
Exc
itatio
n en
ergy
(eV
)
4000 8000InAs dot
InP pyramid