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

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A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence. / Hillier, Robin; Arenz, Christian; Burgarth, Daniel.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 48, No. 15, 155301, 25.03.2015, p. 1-27.

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Harvard

Hillier, R, Arenz, C & Burgarth, D 2015, 'A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence', Journal of Physics A: Mathematical and Theoretical, vol. 48, no. 15, 155301, pp. 1-27. https://doi.org/10.1088/1751-8113/48/15/155301

APA

Hillier, R., Arenz, C., & Burgarth, D. (2015). A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence. Journal of Physics A: Mathematical and Theoretical, 48(15), 1-27. [155301]. https://doi.org/10.1088/1751-8113/48/15/155301

Vancouver

Hillier R, Arenz C, Burgarth D. A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence. Journal of Physics A: Mathematical and Theoretical. 2015 Mar 25;48(15):1-27. 155301. https://doi.org/10.1088/1751-8113/48/15/155301

Author

Hillier, Robin ; Arenz, Christian ; Burgarth, Daniel. / A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence. In: Journal of Physics A: Mathematical and Theoretical. 2015 ; Vol. 48, No. 15. pp. 1-27.

Bibtex - Download

@article{8481e8ab32ce41cbb590ef6f64ce983e,
title = "A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence",
abstract = "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.",
keywords = "central limit theorem, CPT semigroups, dynamical decoupling, intrinsic decoherence",
author = "Robin Hillier and Christian Arenz and Daniel Burgarth",
note = "Hillier, R., Arenz, C., Burgarth, D. (2015). A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence. Journal of Physics A: Mathematical and Theoretical, 48 (15), [155301].",
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pages = "1--27",
journal = "Journal of Physics A: Mathematical and Theoretical",
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RIS (suitable for import to EndNote) - Download

TY - JOUR

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

AU - Hillier, Robin

AU - Arenz, Christian

AU - Burgarth, Daniel

N1 - Hillier, R., Arenz, C., Burgarth, D. (2015). A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence. Journal of Physics A: Mathematical and Theoretical, 48 (15), [155301].

PY - 2015/3/25

Y1 - 2015/3/25

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 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.

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 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.

KW - central limit theorem

KW - CPT semigroups

KW - dynamical decoupling

KW - intrinsic decoherence

UR - http://www.scopus.com/inward/record.url?scp=84925830595&partnerID=8YFLogxK

UR - http://hdl.handle.net/2160/28665

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

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

M3 - Article

AN - SCOPUS:84925830595

VL - 48

SP - 1

EP - 27

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 15

M1 - 155301

ER -

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