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PRODID:UW-Madison-Physics-Events
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UID:UW-Physics-Event-3867
DTSTART:20151217T160000Z
DURATION:PT1H0M0S
DTSTAMP:20260419T110649Z
LAST-MODIFIED:20151207T140835Z
LOCATION:5310 Chamberlin
SUMMARY:Designing Gates for a Spin-Based Quantum Computer\, R. G. Herb
  Condensed Matter Seminar\, Daniel Zeuch\, Florida State
DESCRIPTION:After reviewing the basic notions of quantum computation w
 ith electrons trapped in semiconductor quantum dots\, I focus on a com
 puting scheme in which qubits are encoded using three spins each and a
 rbitrary quantum gates are carried out by turning on and off\, or puls
 ing\, the Heisenberg exchange Hamiltonian. While most work on finding 
 pulse sequences for two-qubit gates has been numerical\, I discuss seq
 uences that were designed completely analytically [1\,2] and show\, in
  particular\, the framework of the derivation [2] of the shortest know
 n sequence for this particular scheme. At the end\, I draw parallels b
 etween spin-based quantum computation and topological quantum computat
 ion with non-Abelian anyons. I show that the basic problem of finding 
 two-qubit quantum gates\, addressed in [3]\, can be understood in simi
 lar terms as the problem of finding two-qubit gate pulse sequences.<br
 >\n<br>\n[1] D. Zeuch\, R. Cipri\, and N. E. Bonesteel\, Phys. Rev. 
 B 90\, 045306 (2014). <br>\n[2] D. Zeuch and N. E. Bonesteel\, arXiv 
 preprint arXiv:1508.07524 (2015).<br>\n[3] C. Carnahan\, D. Zeuch\, a
 nd N. E. Bonesteel\, arXiv preprint arXiv:1511.00719 (2015).<br>\n
URL:https://www.physics.wisc.edu/events/?id=3867
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