Scalable quantum detector tomography by high-performance computing

Fuente: arXiv
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Auteurs principaux: Schapeler, Timon, Schade, Robert, Lass, Michael, Plessl, Christian, Bartley, Tim J.
Format: Preprint
Publié: 2024
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author Schapeler, Timon
Schade, Robert
Lass, Michael
Plessl, Christian
Bartley, Tim J.
author_facet Schapeler, Timon
Schade, Robert
Lass, Michael
Plessl, Christian
Bartley, Tim J.
contents At large scales, quantum systems may become advantageous over their classical counterparts at performing certain tasks. Developing tools to analyse these systems at the relevant scales, in a manner consistent with quantum mechanics, is therefore critical to benchmarking performance and characterising their operation. While classical computational approaches cannot perform like-for-like computations of quantum systems beyond a certain scale, classical high-performance computing (HPC) may nevertheless be useful for precisely these characterisation and certification tasks. By developing open-source customised algorithms using high-performance computing, we perform quantum tomography on a megascale quantum photonic detector covering a Hilbert space of $10^6$. This requires finding $10^8$ elements of the matrix corresponding to the positive operator valued measure (POVM), the quantum description of the detector, and is achieved in minutes of computation time. Moreover, by exploiting the structure of the problem, we achieve highly efficient parallel scaling, paving the way for quantum objects up to a system size of $10^{12}$ elements to be reconstructed using this method. In general, this shows that a consistent quantum mechanical description of quantum phenomena is applicable at everyday scales. More concretely, this enables the reconstruction of large-scale quantum sources, processes and detectors used in computation and sampling tasks, which may be necessary to prove their nonclassical character or quantum computational advantage.
format Preprint
id arxiv_https___arxiv_org_abs_2404_02844
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Scalable quantum detector tomography by high-performance computing
Schapeler, Timon
Schade, Robert
Lass, Michael
Plessl, Christian
Bartley, Tim J.
Quantum Physics
Distributed, Parallel, and Cluster Computing
At large scales, quantum systems may become advantageous over their classical counterparts at performing certain tasks. Developing tools to analyse these systems at the relevant scales, in a manner consistent with quantum mechanics, is therefore critical to benchmarking performance and characterising their operation. While classical computational approaches cannot perform like-for-like computations of quantum systems beyond a certain scale, classical high-performance computing (HPC) may nevertheless be useful for precisely these characterisation and certification tasks. By developing open-source customised algorithms using high-performance computing, we perform quantum tomography on a megascale quantum photonic detector covering a Hilbert space of $10^6$. This requires finding $10^8$ elements of the matrix corresponding to the positive operator valued measure (POVM), the quantum description of the detector, and is achieved in minutes of computation time. Moreover, by exploiting the structure of the problem, we achieve highly efficient parallel scaling, paving the way for quantum objects up to a system size of $10^{12}$ elements to be reconstructed using this method. In general, this shows that a consistent quantum mechanical description of quantum phenomena is applicable at everyday scales. More concretely, this enables the reconstruction of large-scale quantum sources, processes and detectors used in computation and sampling tasks, which may be necessary to prove their nonclassical character or quantum computational advantage.
title Scalable quantum detector tomography by high-performance computing
topic Quantum Physics
Distributed, Parallel, and Cluster Computing
url https://arxiv.org/abs/2404.02844