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R. G. Herb Condensed Matter Seminar
Designing Gates for a Spin-Based Quantum Computer
Date: Thursday, December 17th
Time: 10:00 am
Place: 5310 Chamberlin
Speaker: Daniel Zeuch, Florida State
Abstract: After reviewing the basic notions of quantum computation with electrons trapped in semiconductor quantum dots, I focus on a computing scheme in which qubits are encoded using three spins each and arbitrary quantum gates are carried out by turning on and off, or pulsing, the Heisenberg exchange Hamiltonian. While most work on finding pulse sequences for two-qubit gates has been numerical, I discuss sequences that were designed completely analytically [1,2] and show, in particular, the framework of the derivation [2] of the shortest known sequence for this particular scheme. At the end, I draw parallels between spin-based quantum computation and topological quantum computation with non-Abelian anyons. I show that the basic problem of finding two-qubit quantum gates, addressed in [3], can be understood in similar terms as the problem of finding two-qubit gate pulse sequences.

[1] D. Zeuch, R. Cipri, and N. E. Bonesteel, Phys. Rev. B 90, 045306 (2014).
[2] D. Zeuch and N. E. Bonesteel, arXiv preprint arXiv:1508.07524 (2015).
[3] C. Carnahan, D. Zeuch, and N. E. Bonesteel, arXiv preprint arXiv:1511.00719 (2015).
Host: Coppersmith
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