Orthogonalised Self-Guided Quantum Tomography: Insights from Single-Pixel Imaging

TL;DR

This paper introduces orthogonalised self-guided quantum tomography, inspired by single-pixel imaging, achieving faster and more accurate quantum state estimation without extra experimental overhead.

Contribution

It presents orthogonalised SGQT, a novel method that improves convergence speed and accuracy by integrating ideas from SPI and ghost imaging.

Findings

Numerical fidelity improved from 95.2% to 99.17%.

Experimental fidelity improved from 92.1% to 95.3%.

Method requires no additional experimental overhead.

Abstract

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.