Combinating random and cyclic decoupling techniques
Combinating random and cyclic decoupling techniques
Combinating random and cyclic decoupling techniques
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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 0Û(T c ) = e −i(Ĥ1+Ĥ2+...)T cError bound [2]:ǫ(T) = max|Ψ 0 〉(1 − |〈Ψ(T)|Ψ0 〉| 2) ( ) 2≤ O ‖Ĥ0‖ 2 TT c /2111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000000000000000011111111111 T 0000000000011111111111 Q 0000000000011111111111 P1111111111100000000000111111111110000000000011111111111000000000001111111111100000000000111111111110000000000011111111111000000000000000000000011111111111 1111111111100000000000[1] e.g. L. Viola, E. Knill <strong>and</strong> S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999),M. Rötteler <strong>and</strong> P. Wocjan, quant-ph/0409135, ...[2] L. Viola <strong>and</strong> E. Knill, Phys. Rev. Lett. 94, 060502 (2005)Varenna, July 5th-15th, 2005 – p.3/7