preparation of weakly coupled spins within molecules as 2qubit quantum gates
DESCRIPTION
QCPS-II 2010 Orlando. Preparation of Weakly Coupled Spins within Molecules as 2qubit Quantum Gates. Guillem Aromí. Group of Magnetism and Functional Molecules (GMMF) Universitat de Barcelona. QCPS-II 2010 Orlando. The Challenge of Quantum Computing. Q-bits:. |0 & |1 . TWO - PowerPoint PPT PresentationTRANSCRIPT
Preparation of Weakly Coupled Preparation of Weakly Coupled Spins within Molecules as 2qubit Spins within Molecules as 2qubit Quantum GatesQuantum Gates
Guillem AromíGroup of Magnetism and Functional Molecules (GMMF)
Universitat de Barcelona
QCPS-II 2010Orlando
Q-bits: |0 & |1
QuantumGates:
x
y
x
F(x)CNOT
control
target
Y
y
x
xSWAP
TWOINEQUIVALENT
Q-BITS
SWITCHABLEQ-BIT
INTERACTION
M. A. Nielsen, I. L. Chuang, Quantum Computing and Quantum Information, Cambridge University Press, Cambridge, 2000.
QCPS-II 2010Orlando
1. Exhibit two well defined q-bits2. Possibility of initialize
3. Low decoherence (isolated from environment)4. Readable
6. Chemically Stable
5. Q-gate operations
M. N. Leuenberger, D. Loss, Nature 2001, 410, 789-793.
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Pairs of Metallic Wheelswith Tunable Coupling
Winpenny et al.Nature Nanotech., 2009, 4, 173
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OOO OOH OOO OOH OHO
OOO OOH OH OOO OOH OHOH
NOOO OOH OH
NOOO O
NN
H3L1 H4L2
H4L3 H5L4
H4L5 H2L6
Bis-Bis-ββ-diketonate Ligands-diketonate Ligands
Coord. Chem. Rev. 2008, 252, 964-989
QCPS-II 2010Orlando
QCPS-II 2010Orlando
OOO OOH OHH4L3
QCPS-II 2010Orlando
[Ni4(L3)2(py)6]
T / K
0 50 100 150 200 250 3000
1
2
3
4
5
J = −5.04
C. R. Chimie 2008, 11, 1117-1120
QCPS-II 2010Orlando
OOO OO O
OOO OO O
CuII =
NiII =
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OOO OOH OHH4L3
Cu(AcO)2 / Ni(AcO)2 / NaH / py
[Ni2Cu2(L3)2(py)6]Chem., Eur. J. 2009, 15, 11235 – 11243
QCPS-II 2010Orlando
T / K
0 50 100 150 200 250 300
MT
/ cm
3K
mol
-1
0.0
0.5
1.0
1.5
2.0
2.5
3.0
[Ni2Cu2(L3)2(py)6] J = −72.9 cm-1
θ = −0.5 KgNi = 2.46gCu = 2.10
QCPS-II 2010Orlando
-Two weakly coupled, isolated S=1/2 spins
-Both equivalent (not CNOT) Interaction not Switcheable (not SWAP)
OOO OOH OHO
H4L2
QCPS-II 2010Orlando
[Mn3O(AcO)6(py)3]+
O O
[Mn4O2(AcO)6(dbm)2]
OOO OOH OHOH4L2
Inorg. Chem. 2000, 39, 1501
QCPS-II 2010Orlando
Inorg. Chem. 2007, 46, 9045
8.7 Å O
O
O
O
H3C
OH3C
O
RCO2- :
QCPS-II 2010Orlando
MT /cm3 K mol−1
0 50 100 150 200 250 3000
1
2
3
4
5
6
7
8
T / K
Jpyz JttJbt
JbbJbtJbt
Jbt1
2
3
4
Inorg. Chem. 2007, 46, 9045
QCPS-II 2010Orlando
QCPS-II 2010Orlando
-Two weakly coupled, isolated S=1/2 spins
-Both equivalent (not CNOT) Interaction not Switcheable (not SWAP)
QCPS-II 2010Orlando
OOO OOH OHO
NNHNNHN
OH HON2H4
[Mn14O4(OH)2(OMe)4(OAc)2(L)2(HL)4(H2L)2(MeOH)2]
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H2L6N
OOO ONN
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NOOO O
NNH2L6
Co(AcO)2
and Co(NO3)2
in MeOH
[Co4(L6)2(MeOH)8]4+
Aust. J. Chem. 2009, 62, 1130-1136
QCPS-II 2010Orlando
NOOO O
NN
(H2L6)
Co(AcO)2
and Co(NO3)2
in MeOH
N N+
[Co8(OH)4(NO3)3(L6)4(bpy)4(H2O)](NO3)
QCPS-II 2010Orlando
QCPS-II 2010Orlando
Chem. Commun., 2011, 47, 707-709
-Two weakly coupled clusters with potentially tunable interactions
-Antiferromagnetic interactions cause an S = 0 on each cluster(not QuGate)
N OH
OOOOH
H3L7Ln(NO3)3
or LnCl3in pyridine
[Ln2(HL7)2(H2L7)(X)(solvents)x]
[Gd2(HL7)2(H2L7)Cl(H2O)(py)]
Inorg. Chem., 2010, 49, 6784–6786
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Ln = La, Ce, Pr, Nd, PmPm, Sm, Eu, Gd, Tb, Dy, Ho, Er,Tm, Yb, Lu
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Stark Level DepopulationWeak AF Coupling
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H
zzBzBzz HsgsgsJs 2211212H
0,0 0,2 0,4 0,6 0,8
-12
-8
-4
0
4
8
12
16
0,0 0,2 0,4 0,6 0,8
-8
-4
0
4
8
0,27 0,36 0,45
-3,6
-2,7
-1,8
energ
y (
K)
0H (T)
= 0 = 66 deg.
energ
y (
K)
0H (T)
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i) The total moment does not vanish at lowest temperatureii) There is a barrier to the reorientation of the total moment
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Specific Heat is consistent withNon-colinearity of the anisotropy axes of both ions in the dimer
QCPS-II 2010Orlando
0,0 0,2 0,4 0,6 0,8
-8
-4
0
4
8 = 66 deg.
energ
y (K
)
0H (T)
REALIZATION REALIZATION OF A CNOT!!OF A CNOT!!
|1,1 → |1,0|1,0 → |1,1|0,1 → |0,1|0,0 → |0,0
|1,1
|1,0
|0,0
|0,1
h
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QCPS-II 2010Orlando
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La Ce Pr NdPmSm Eu Gd Tb Dy Ho Er Tm Yb Lu
Y
Crystal structure of
33 complexes so far…
QCPS-II 2010Orlando
Bis-β-diketonate ligands allow the synthesis of Magnetic Molecular Pairs of ClustersMagnetic Molecular Pairs of Clusters
An new Phenol/1,3-diketone/picolinic acid (H3L7) allows access of unsymmetrical [Lnunsymmetrical [Ln22]] complexes of virtually any lanthanide. Some of which meet the conditions for the realization of a CNOT QuGateCNOT QuGateH3L7 seems to allow the synthesis of heterometallic [LnLn’] heterometallic [LnLn’] complexes for virtually any pair of Lanthanides
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35
36
37
38
39
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