Ion Traps
description
Transcript of Ion Traps
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http://nodens.physics.ox.ac.uk/~mcdonnell/wardPres/wardPres.html
http://www.nature.com/nphys/journal/v2/n1/images/nphys171-f2.jpg
http://www.physics.gatech.edu/ultracool/Ions/7ions.jpg
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OutlineOutline
• A brief history
• “Trapology”
• Two types of qubits
• Entangling gates
• Scalability
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http://qist.lanl.gov/qcomp_map.shtmlhttp://qist.lanl.gov/qcomp_map.shtml
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“Ion trappers are encouraged because we can at least see a straightforward path to making a large processor, but the technical problems are extremely challenging. It might be fair to say that ion traps are currently in the lead; however, a good analogy might be that we’re leading in a marathon race, but only one metre from the start line.”
David Wineland, NIST-Boulder
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Trapped ion qubits – a timelineTrapped ion qubits – a timeline
1975
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Trapology
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RF (Paul) ion trap
Pote
nti
al
Position
Position
endcap
endcap
ring
• Hyperbolic surfaces• Good for trapping single ions• Poor optical access
RF
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Ray optics analogy
two lenses of equal but opposite strengthwill focus a collimated beam...
(... unless placed too far apart)
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dc
Linear RF Ion Trap
Pote
nti
al
Position
Position
dc
rf
dc
rf
~ few tens MHz~ few hundred volts
transverse confinement:2D rf ponderomotive potential
axial confinement:static “endcaps”
~ few tens volts
Linear trap (D. Berkeland, LANL)
++
+
+
++
+
+
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+U
+U
+U
+U
+U
+U
+U
+U
0
0
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Linear RF Ion Trap continued...
1 mm
“Endcap” linear trap – U. Mich, UW, Oxdord...
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dcdc
rf rf
3-layer geometry:• allows 3D offset compensation• scalable to larger structures
dc
rf
dc
dc
rf
dcdcdc
200 m
3-layer Tee-trap(U. Michigan)
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dc
rf rf
Planar, or surface, traps
dcdc
Gold-on-alumina planar trap (U. Mich)
Planar trap field simulation (R. Slusher, Lucent Labs)
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NIST planar trapsand trap arrays
The planar traps are in fact even “more scalable” than the 3-layer traps.
The electrodes are patterned on the surface; control electronics may be integrated in the same chip.
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Qubits
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“Hyperfine” and “optical” qubits:an unbiased view
Hyperfine qubits:
• Spontaneous emission negligible
• Require stable RF sources (easy!)
• Fun to work with
Optical qubits:
• Upper state decays on the timescale of seconds
• Require stable laser sources (hard!)
• Pain to work with
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Entanglement
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Cirac-Zoller CNOT gate
1. Ion string is prepared in the ground state of motion (n=0)
|
|
control target
2. Control ion’s spin state is mapped onto quantized motional state of the ion string
3. Target ion’s spin is flipped conditional on the motional state of the ion string4. Motion of the ion string is extinguished by applying pulse #2 with negative phase to the control ion
Cirac and Zoller, Phys. Rev. Lett. 74, 4091 (1995)
Raman beams
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Scaling up
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Quantum CCDKielpinski, Monroe, Wineland, Nature (2002)
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IntegrationU.Michigan
R. Slusher/Lucent Labs
M. Blian, C. Tigges/Sandia Labs
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R. Slusher/Lucent Labs
A vision
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Motion heating is a problem...• Small traps = faster (quantum logic) gates
... but...
• Small traps = faster heating of ion’s motion
• (Quantized) motion is the quantum data bus, thus heating = decoherence!
GaAsmicrotrap
L. Deslauriers et al. PRA 70, 043408 (2004)
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+ = H
S1/2
P3/2
= V
|2,1 |2,2
|1,1 = ||1,0 =|
|2,2
Probabilistic entanglement of ions and photons
1. The atom is initialized in a particular ground state
2. The atom is excited with a short laser pulse to a particular excited state
3. The atom decays through multiple decay channels (we like when there’s only two)
4. The emitted photon is collected and measured
The final state of the atom is entangled with the polarization state of the photon.
This creates an entangled state
| = |H| + |V|
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Entanglement success probability:
P = Pexcitation d detection (~ 10-3 now)
Unit excitation witha fast (ps) laser pulse
Better detectors!
g2/ ~ and >> g (“bad cavity”)
Cavity QED setup
Price we pay: this entanglement is probabilistic
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D
BS
DD1
D2
Remote Ion Entanglementusing entangled ion-photon pairs
2 distant ions
Coincidence only if photons are in state:
| = |H1 |V2 - |V1 |H2
This projects the ions into …
|1 |2 - |1 |2 = | -ions
The ions are now entangled!
Things to do with this four-qubit system:
• teleportation between matter and light• loophole-free Bell inequality tests• decoherence studies• quantum repeaters, computers
|i = |H| + |V|
Simon and Irvine, PRL, 91, 110405 (2003)
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Quantum networking and quantum Quantum networking and quantum computing using ion-photon computing using ion-photon entanglemententanglement
D D D D D D D D
Quantum repeater network
Cluster state q. computing
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Conclusions...Conclusions...
• Ion trap technology currently a leader, but you’ve heard the marathon analogy quote
• Clear path to scaling up, but technology needs to mature
• Integration of electronic controls and optics is likely the next step
• An alternative scaling through ion-photon entanglement