TY - JOUR

T1 - A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence

AU - Hillier, Robin

AU - Arenz, Christian

AU - Burgarth, Daniel

PY - 2015/4/17

Y1 - 2015/4/17

N2 - 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 CPT 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 estimates this yields a novel method of partially identifying intrinsic decoherence.

AB - 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 CPT 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 estimates this yields a novel method of partially identifying intrinsic decoherence.

U2 - 10.1088/1751-8113/48/15/155301

DO - 10.1088/1751-8113/48/15/155301

M3 - Journal article

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 15

M1 - 155301

ER -