标题： 通过在ibm_osaka上的完整和边缘状态重构进行三量子比特W态层析成像 显示英文标题

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

摘要： 我们提出了一种三量子比特量子态层析成像方案，需要一组17个测量设置，与传统的63个泡利测量设置相比，显著减少了实验开销。 使用IBM的127量子比特开放访问量子处理器ibm osaka，我们制备了三量子比特的W态，并采用我们的层析成像方案对其进行重建。 此外，我们在ibm osaka上实现了一个涉及7个测量设置的两量子比特层析成像协议，以重建W态的两个两量子比特边缘密度矩阵。 这作为{\em 原理验证}的一个实例，证明了著名的理论结果：任意两个两量子比特约化密度矩阵可以唯一确定大部分整个三量子比特纯态。 我们表明，从其两量子比特子系统重建的W态保真度始终高于从完整三量子比特层析成像获得的保真度，突显了基于子系统的层析成像方法的实际优势。 显示英文摘要

摘要： 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.