3 problems
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Conjectured lower convergence rate for dynamical decoupling with normalizable form factors
Lower-rate dynamical decoupling conjecture. In this setting, dynamical decoupling should still work, but its convergence speed in the number of steps may be lower, of order
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The total form domain intersection conjecture for uniform dynamical decoupling
Total form domain intersection conjecture. If dynamical decoupling works uniformly, then
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The universality conjecture for Uhrig dynamical decoupling
Let be the decoupling order of a Uhrig dynamical decoupling (UDD) pulse sequence, and let the sequence act on a quantum system coupled to an environment through a general syste…