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Main Authors: Dekkers, Kiki, Ruget, Alice, Nothlawala, Fazilah, Henry, Sabrina, Scholes, Stirling, Padgett, Miles, Forbes, Andrew, Nape, Isaac, Leach, Jonathan
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.08057
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author Dekkers, Kiki
Ruget, Alice
Nothlawala, Fazilah
Henry, Sabrina
Scholes, Stirling
Padgett, Miles
Forbes, Andrew
Nape, Isaac
Leach, Jonathan
author_facet Dekkers, Kiki
Ruget, Alice
Nothlawala, Fazilah
Henry, Sabrina
Scholes, Stirling
Padgett, Miles
Forbes, Andrew
Nape, Isaac
Leach, Jonathan
contents We introduce the concept of self-guided imaging (SGI) as a linear analogue of self-guided quantum tomography (SGQT). We show that SGI is mathematically equivalent to single-pixel imaging (SPI). Taking inspiration from orthogonalised ghost imaging, a recent advance in SPI, we introduce orthogonalised SGQT. This requires no additional experimental overhead and leads to faster and more accurate final convergence, as we demonstrate numerically (fidelity $95.2\% \rightarrow 99.17\%$) and experimentally (fidelity $92.1\% \rightarrow 95.3\%$). This work suggests that further routines from SPI and SGQT can be interchanged to optimise measurements and convergence.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08057
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Orthogonalised Self-Guided Quantum Tomography: Insights from Single-Pixel Imaging
Dekkers, Kiki
Ruget, Alice
Nothlawala, Fazilah
Henry, Sabrina
Scholes, Stirling
Padgett, Miles
Forbes, Andrew
Nape, Isaac
Leach, Jonathan
Quantum Physics
We introduce the concept of self-guided imaging (SGI) as a linear analogue of self-guided quantum tomography (SGQT). We show that SGI is mathematically equivalent to single-pixel imaging (SPI). Taking inspiration from orthogonalised ghost imaging, a recent advance in SPI, we introduce orthogonalised SGQT. This requires no additional experimental overhead and leads to faster and more accurate final convergence, as we demonstrate numerically (fidelity $95.2\% \rightarrow 99.17\%$) and experimentally (fidelity $92.1\% \rightarrow 95.3\%$). This work suggests that further routines from SPI and SGQT can be interchanged to optimise measurements and convergence.
title Orthogonalised Self-Guided Quantum Tomography: Insights from Single-Pixel Imaging
topic Quantum Physics
url https://arxiv.org/abs/2604.08057