Crynodeb
We discuss a few mathematical aspects of random dynamical decoupling, a key tool procedure in quantum information theory. In particular, we place it in the context of discrete stochastic processes, limit theorems and completely positive trace-preserving semigroups on matrix algebras. We obtain precise analytical expressions for expectation and variance of the density matrix and fidelity over time in the continuum-time limit depending on the system Lindbladian, which then lead to rough short-time estimates depending only on certain coupling strengths. We prove that dynamical decoupling does not work in the case of intrinsic (i.e., not environment-induced) decoherence, and together with the above-mentioned estimates this yields a novel method of partially identifying intrinsic decoherence.
Iaith wreiddiol | Saesneg |
---|---|
Rhif yr erthygl | 155301 |
Tudalennau (o-i) | 1-27 |
Nifer y tudalennau | 27 |
Cyfnodolyn | Journal of Physics A: Mathematical and Theoretical |
Cyfrol | 48 |
Rhif cyhoeddi | 15 |
Dynodwyr Gwrthrych Digidol (DOIs) | |
Statws | Cyhoeddwyd - 25 Maw 2015 |
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Proffiliau
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Daniel Burgarth
- Cyfadran Busnes a’r Gwyddorau Ffisegol, Mathemateg - Honorary Appointment
Unigolyn: Arall