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

Fuente: arXiv
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Autori principali: Talath, H., Govindaraja, B. P., Divyamani, B. G., H., Akshata Shenoy, Devi, A. R. Usha, Sudha
Natura: Preprint
Pubblicazione: 2025
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author Talath, H.
Govindaraja, B. P.
Divyamani, B. G.
H., Akshata Shenoy
Devi, A. R. Usha
Sudha
author_facet Talath, H.
Govindaraja, B. P.
Divyamani, B. G.
H., Akshata Shenoy
Devi, A. R. Usha
Sudha
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_02849
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
Talath, H.
Govindaraja, B. P.
Divyamani, B. G.
H., Akshata Shenoy
Devi, A. R. Usha
Sudha
Quantum Physics
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.
title Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
topic Quantum Physics
url https://arxiv.org/abs/2507.02849