Combinating random and cyclic decoupling techniques

Combinating random and cyclic decoupling techniques Combinating random and cyclic decoupling techniques

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00000000000MotivationOur goal is to eliminate the action of a general two qubitHamiltonian:Ĥ 0 =∑0≤j

00000000000Deterministic Decoupling [1]ˆd 1 ˆd† 0ˆd 0 ˆd† n c −1ˆd 2 ˆd† 1ˆd 1 ˆd† 0ˆd 0time T c + τ n c τ = T c 2τ τ 0ˆd j ∈ {ˆ1, ˆX,Ŷ ,Ẑ}⊗n qj ∈ {0,...,n c − 1}111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000000000000000011111111111 T 0000000000011111111111 Q 0000000000011111111111 P1111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000000000000000011111111111 1111111111100000000000[1] e.g. L. Viola, E. Knill and S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999),M. Rötteler and P. Wocjan, quant-ph/0409135, ...Varenna, July 5th-15th, 2005 – p.3/7

00000000000MotivationOur goal is to eliminate the action of a general two qubitHamiltonian:Ĥ 0 =∑0≤j

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