Enhanced Compressive Threshold Quantum State Tomography for Qudit Systems

TL;DR

This paper introduces an improved quantum state tomography method for qudit systems that significantly reduces measurement settings needed for accurate density matrix reconstruction, validated through simulations on IBMQ.

Contribution

The authors develop a novel compressed sensing-inspired quantum tomography technique that minimizes measurement settings for reconstructing multi-qubit states, including GHZ and W states.

Findings

Accurately reconstructs states with fewer measurements

Validates method on IBMQ with up to 7 qubits

Reproduces complex quantum states efficiently

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 simulations on IBMQ and demonstrate the efficient and accurate reconstruction of $N\leq7$ qubit systems, reproducing GHZ, $W$, and random states with $O(1)$, $O(N^2)$, and $O(N)$ settings.