Universal Uhrig dynamical decoupling for bosonic systems
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We construct efficient deterministic dynamical decoupling schemes protecting continuous variable degrees of freedom. Our schemes target decoherence induced by quadratic system-bath interactions with analytic time-dependence. We show how to suppress such interactions to N-th order using only N pulses. Furthermore, we show to homogenize a 2^m-mode bosonic system using only (N+1)^2m+1 pulses, yielding - up to N-th order - an effective evolution described by non-interacting harmonic oscillators with identical frequencies. The decoupled and homogenized system provides natural decoherence-free subspaces for encoding quantum information. Our schemes only require pulses which are tensor products of single-mode passive Gaussian unitaries and SWAP gates between pairs of modes.
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