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Abstract: In this addendum of our paper D. Burgarth and V. Giovannetti, Phys. Rev.Lett. 99, 100501 2007 we prove that during the transformation that allowsone to enforce control by relaxation on a quantum system, the ancillary memorycan be kept at a finite size, independently from the fidelity one wants toachieve. The result is obtained by introducing the quantum analog ofdefragmentation algorithms which are employed for efficiently reorganizingclassical information in conventional hard-disks. Our result also implies thatthe reduced dynamics in any noisy system can be simulated with finitely manyresources.

Autor: Daniel Burgarth, Vittorio Giovannetti

Fuente: https://arxiv.org/

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