Quantum Computation With Trapped Ions Brian Fields Slide 2
Overview Intro to Quantum Computation Trapping Ions Ytterbium as a
qubit Quantum Gates Future Brian Fields2 Slide 3 What does a
Quantum Computer Do? Shors Algorithm Factoring products of prime
numbers Deutche Jose Algorithm Quantum Simulation Magnetism, Ising
model, with more qubits possible particle scattering Brian Fields3
Slide 4 What Is a Quantum Computer? Divincenzos Postulates
1.Scalable, well defined Qubits 2.State initialization 3.Long
Coherence Times compared to Gate Speed 4.Universal Set of Quantum
Gates 5.Efficient State Read Out Brian Fields4 Slide 5 History Mass
Spec, Atomic Clocks, systems developed Penning Trap RF-Paul Trap
Surface Brian Fields5 Ion Traps Slide 6 Brian Fields6 Slide 7 7
Slide 8 8 Slide 9 9 Slide 10 10 Doppler Cooling Slide 11 Brian
Fields11 Ytterbium 171+ Hyperfine State Qubit Long Coherence
Times~10s Insensitive external B-Field Cooling Closed (with repump
beams) Optical Pumping Min error ~ 10^-6 Detection Typical accuracy
~ 98 % Slide 12 Brian Fields12 Sideband Cooling Slide 13 Brian
Fields13 Slide 14 Brian Fields14 Slide 15 Single Qubit Rotations
Two Qubit Entangling Gates CNOT Cirac Zoller Molmer Sorenson Brian
Fields15 Quantum Gates Slide 16 Brian Fields16 Quantum Gates Slide
17 Cirac-Zoller CNOT 1)The internal state of a control ion is
mapped onto the motion of an ion string 2)The state of the target
ion is flipped conditioned on the motional state of the string
3)Motion of ion string is mapped back to control ion state Result
Flips T if C is Brian Fields17 Slide 18 Brian Fields18 Possible
Pulse Sequence for a CNOT gate Slide 19 More Qubits Higher
Fidelities, better state detection Motional Decoherence Modular
Trap arrays for Scaling Photon Ion Flying Qubit entanglement Brian
Fields19 Future Slide 20 Brian Fields20 References Steven
Olmschenk.. QUANTUM TELEPORTATION BETWEEN DISTANT MATTER QUBITS
Doctoral Thesis. University of Maryland. (2009) David Hayes. Remote
and Local Entanglement of Ions using Photons and Phonons. Doctoral
Thesis. University of Maryland. (2012) Johnathan Mizrahi. ULTRAFAST
CONTROL OF SPIN AND MOTION IN TRAPPED IONS. Doctoral Thesis.
University of Maryland. (2013) Timothy Andrew Manning, QUANTUM
INFORMATION PROCESSING WITH TRAPPED ION CHAINS. Doctoral Thesis.
University of Maryland. (2014) Chris Monroe, et all. Large-scale
modular quantum-computer architecture with atomic memory and
photonic interconnects. PHYSICAL REVIEW A 89, 022317 (2014)
DiVincenzo, David The Physical Implementation of Quantum
Computation. ARXIV. arXiv:quant-ph/0002077v3 13 Apr 2000 (2008) J I
Cirac, P. Zoller. Quantum Computations with Cold Trapped Ions.
Physics Review Letters. Volume 74. Issue 20. May 15 (1994) H.
Haffner, C. F. Roos, R. Blatt, Quantum computing with trapped ions.
ARXIV. arXiv:0809.4368v1 [quant-ph] 25 Sep 2008 (2008)
