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Exchange-Only Computation, Leakage Reduction, and Dynamical Decoupling in the Three-Qubit Decoherence Free Subsystem

Bryan Fong, HRL Laboratories, LLC

(Session 2 : Thursday from 8:00pm-8:30pm)

Abstract. We describe exchange-only universal quantum computation, leakage reduction, and dynamical decoupling in the three-qubit decoherence free subsystem (DFS). We discuss the angular momentum structure of the DFS, the proper forms for the DFS CNOT and leakage reduction operators in the total angular momentum basis, and new exchange-only pulse sequences for the CNOT and leakage reduction operators. While the search for sequences is performed numerically using a genetic algorithm, the final solutions found are exact, with closed-form expressions. We also show that exchange pulses are sufficient to decouple the three-qubit DFS from its environment and describe bang-bang pulse sequences for decoupling the DFS from its bath. Sponsored by United States Department of Defense.