Physics – Quantum Physics
Scientific paper
2010-06-08
Phys. Rev. A 83, 022306 (2011)
Physics
Quantum Physics
11 pages, fully rewritten from version 1, some corrections made from version 2
Scientific paper
10.1103/PhysRevA.83.022306
Based on a theorem we establish on dynamical decoupling of time-dependent systems, we present a scheme of nested Uhrig dynamical decoupling (NUDD) to protect multi-qubit systems in generic quantum baths to arbitrary decoupling orders, using only single-qubit operations. The number of control pulses in NUDD increases polynomially with the decoupling order. For general multi-level systems, this scheme can preserve a set of unitary Hermitian system operators which mutually either commute or anti-commute, and hence all operators in the Lie algebra generated from this set of operators, generating an effective symmetry group for the system up to a given order of precision. NUDD can be implemented with pulses of finite amplitude, up to an error in the second order of the pulse durations.
Liu Ren-Bao
Wang Zhen-Yu
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