aka experimental aspects of quantum computationclass format 1st hour: introduction by bb 2nd and 3rd...
TRANSCRIPT
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Quantum computing hardwareQuantum computing hardware
akaaka Experimental Aspects Experimental Aspects of Quantum Computationof Quantum Computation
PHYS 576PHYS 576
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Class formatClass format
1st hour: introduction by BB
2nd and 3rd hour: two student presentations, about 40 minutes eachfollowed by discussions
Coffee break(s) in between
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What you do:What you do:
• Choose a topic• Research literature• Put together title and the abstract• Prepare and give a talk
Hopefully, by the third half of today’s classHopefully, by the third half of today’s classa few of you can decide on the topic and sign up.a few of you can decide on the topic and sign up.
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Workshops themes (generic)Workshops themes (generic)
1. NMR (quantum computer in a vial)2. Ion Trap (“vacuum tubes”)3. Neutral Atom (catching up)4. Cavity QED (0.01 atoms interacting with 0.01 photons)5. Optical (fiber... and more fiber)6. Solid State (what real computers are made of)7. Superconducting (the cool)8. "Unique“ (really crazy stuff)
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Class scheduleClass schedule
January 5 IntroductionJanuary 12 Short class (1 hour)January 19 Workshop 1 SCSCJanuary 26 Workshop 2 SCFebruary 2 Workshop 3February 9 Workshop 4February 16 No Class (SQuInT meeting)February 23 Workshop 5March 2 Workshop 6March 9 Workshop 7
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Reprinted fromQuantum Information Processing 3 (2004).
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http://http://qist.lanl.gov/qcomp_map.shtmlqist.lanl.gov/qcomp_map.shtml
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NMR (obsolete?) - David Cory, Ike Chuang (MIT)
Ion Trap – David Wineland (NIST), Chris Monroe (Michigan), Rainer Blatt (Innsbruck), ...
Neutral Atom – Phillipe Grangier (Orsay), Poul Jessen (Arizona)
Cavity QED - Jeff Kimble (Caltech), Michael Chapman (GATech)
Optical – Paul Kwiat (Illinois)
Solid State – too many to mention a few? David Awschalom (UCSB), Duncan Steel (Michigan)
Superconducting – Michel Devoret (Yale), John Martinis (UCSB)
"Unique“ – Phil Platzman (Bell Labs)
““Approaches”Approaches”
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QC implementation proposals
Bulk spin Resonance (NMR)
Optical Atoms Solid state
Cavity QED
Optical lattices
Semiconductors Superconductors
Linear optics
Trapped ions
Electrons on He
Nuclear spin qubits
Electron spinqubits
Orbital statequbits
Flux qubits
Charge qubits
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1
10
1990 2000
Chapman LawChapman Law
# of
ent
angl
ed io
ns
year
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1
10
1990 2000 2010
Chapman LawChapman Law
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1
10
100
1000
10000
100000
1990 2000 2010 2020 2030 2040 2050 2060
Chapman LawChapman Law
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http://www.org.chemie.tu-muenchen.de/glaser/NMR.jpg http://www.physics.iitm.ac.in/~kavita/qc.jpg
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http://http://qist.lanl.gov/qcomp_map.shtmlqist.lanl.gov/qcomp_map.shtml
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15 ≈ 5 x 315 ≈ 5 x 3
http://cba.mit.edu/docs/05.06.NSF/images/factor.jpg
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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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Blinov, B U. of Washington Ba+
Haljan, P Simon Fraser U. Yb+
Hensinger, W U. of Sussex Ca+
Madsen, M Wabash College Ca+
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UW ion trap QC lab
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Cirac-Zoller CNOT gate – the classic trapped ion gate
To create an effective spin-spin coupling, “control” spin state is mapped on to the motional “bus” state, the target spin is flipped according to its motion state, then motion is remapped onto the control qubit.
|↓⟩
|↑⟩
control target
Cirac and Zoller, Phys. Rev. Lett. 74, 4091 (1995)
Raman beams
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http://http://www.physics.gatech.edu/ultracoolwww.physics.gatech.edu/ultracool//
http://www.iqo.unihttp://www.iqo.uni--hannover.de/ertmer/atoindexhannover.de/ertmer/atoindex//
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““Cold collision” gatesCold collision” gates
Atoms trapped in optical latticesAtoms trapped in optical lattices
Lattices move, atoms collideLattices move, atoms collide
Massively parallel operation: gates on all pairs of neighboringMassively parallel operation: gates on all pairs of neighboringqubits at once... but no individual qubits at once... but no individual addressabilityaddressability..Good for quantum simulatorsGood for quantum simulators
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Entanglement of atomic ensemblesEntanglement of atomic ensembles
E. E. PolzikPolzik, University of , University of AarhusAarhus
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http://www.wmi.badw.de/SFB631/tps/dipoletrap_and_cavity.jpghttp://www.wmi.badw.de/SFB631/tps/dipoletrap_and_cavity.jpg
http://www2.nict.go.jp/http://www2.nict.go.jp/
http://http://www.nature.comwww.nature.com//
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γ
g
κ
g2
κ γ > 1>
Strong coupling:
Photon-mediated entanglement
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http://www.qipirc.org/images/projects/image018.jpghttp://www.qipirc.org/images/projects/image018.jpg
http://http://focus.aps.orgfocus.aps.org//
http://http://www.quantum.atwww.quantum.at//
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Entangled-photon six-state quantum cryptography (Paul G Kwiat)
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http://www.wmi.badw.de/SFB631/tps/DQD2.gifhttp://www.wmi.badw.de/SFB631/tps/DQD2.gif
http://mcba2.phys.unsw.edu.au/~mcba/hons02http://mcba2.phys.unsw.edu.au/~mcba/hons02--11--1212--figb.jpgfigb.jpghttp://http://groups.mrl.uiuc.edugroups.mrl.uiuc.edu//
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Semiconductor qubits
1 sec
10-3 sec
10-6 sec
10-9 sec
10-12 sec
10-15 sec
Nuclear spinstates
Orbitalstates
Electron spinstates Fast microprocessor
ControlDecoherence
Control
Control
Decoherence
Decoherence
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“Kane proposal”
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http://http://qt.tn.tudelft.nl/research/fluxqubit/qubit_rabi.jpgqt.tn.tudelft.nl/research/fluxqubit/qubit_rabi.jpghttp://wwwhttp://www--drecam.cea.frdrecam.cea.fr//
www.physics.ku.eduwww.physics.ku.edu
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JosephsonJosephson junction qubitsjunction qubits
Cooper pair box (charge qubit)Cooper pair box (charge qubit)
Flux qubitFlux qubit
QuantizationQuantization of magnetic field fluxof magnetic field fluxinside the loop containing several inside the loop containing several JJsJJs
QuantizationQuantization of electric chargeof electric charge(number of Cooper pairs) trapped(number of Cooper pairs) trappedon an island sealed off by a JJ.on an island sealed off by a JJ.(|0> and |1> states are 1000000(|0> and |1> states are 1000000Cooper pairs vs. 1000001 CooperCooper pairs vs. 1000001 Cooperpairs)pairs)
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http://wwwhttp://www--drecam.cea.fr/Images/astImg/375_1.gifdrecam.cea.fr/Images/astImg/375_1.gif Any othe
r wild
ideas
???
Any othe
r wild
ideas
???
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Quantum Computing Abyss(after D. Wineland)
?noise
reduction
newtechnology
errorcorrection
efficientalgorithms
∼ 5 >1000# quantum bits
<100 >109# logic gates
theoretical requirementsfor “useful” QC
state-of-the-artexperiments