Enhanced compressive threshold quantum state tomography for qudit systems

We propose an efficient quantum state tomography method inspired by compressed sensing and threshold quantum state tomography that can drastically reduce the number of measurement settings to reconstruct the density matrix of an $N$-qudit system. We validate our algorithm with demonstrations on IBMQ and show the efficient and accurate reconstruction of $N\ensuremath{\le}7$ qubit systems, reproducing GHZ, $\mathrm{W}$, and random states with $O(1)$, $O({N}^{2})$, and $O(N)$ settings.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2025-03-28
DOI
https://doi.org/10.1103/physreva.111.032436
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
0.00

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Enhanced compressive threshold quantum state tomography for qudit systems

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Enhanced compressive threshold quantum state tomography for qudit systems

Diego Maragnano, Giovanni Garberoglio, Marco Liscidini, Daniele Binosi, Maurizio Dapor
article en

Abstract

We propose an efficient quantum state tomography method inspired by compressed sensing and threshold quantum state tomography that can drastically reduce the number of measurement settings to reconstruct the density matrix of an $N$-qudit system. We validate our algorithm with demonstrations on IBMQ and show the efficient and accurate reconstruction of $N\ensuremath{\le}7$ qubit systems, reproducing GHZ, $\mathrm{W}$, and random states with $O(1)$, $O({N}^{2})$, and $O(N)$ settings.

Physical review. A/Physical review, AVol. 111(3)
University of Pavia (IT), European Centre for Theoretical Studies in Nuclear Physics and Related Areas (IT)
Ministero dell'Università e della Ricerca
Affordable and clean energy
Openalex Percentile: Top 97%
Quantum Information and Cryptography
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