Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka

2025/07/03 by Talath, H., Govindaraja, B. P., Divyamani, B. G. +3 · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2507.02849

Abstract

We present a three-qubit quantum state tomography scheme requiring a set of 17 measurement settings, significantly reducing the experimental overhead compared to the conventional 63 Pauli measurement settings. Using IBM's 127-qubit open-access quantum processor ibm osaka, we prepare the three-qubit W state and employ our tomography scheme to reconstruct it. Additionally, we implement a two-qubit tomography protocol, involving 7 measurement settings, on ibm osaka to reconstruct two of the two-qubit marginals of the W state. This serves as a \em proof-of-principle demonstration of the well-known theoretical result that any two of the two-qubit reduced density matrices can uniquely determine most of the whole three-qubit pure states. We show that the fidelity of the W-state reconstructed from its two-qubit subsystems is consistently larger than that obtained from the full three-qubit tomography, highlighting the practical advantage of the subsystem-based tomography approach.

Citations

• Quantum Computing in the NISQ era and beyond
• Three-party pure quantum states are determined by two two-party reduced states
• High order correlations of generic pure states of finite-dimensional quantum systems are determined by lower order correlations
• Three qubits can be entangled in two inequivalent ways

Cited by

• Experimental preparation of W states through frustration on a programmable quantum simulator

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• Matrix-Completion Quantum State Tomography