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玻色场的非破坏性监测与维格纳断层扫描的量子相位估计

Quantum phase estimation for nondestructive monitoring and Wigner tomography of bosonic fields

Lucas R. S. Santos, Ciro M. Diniz, Daniel Z. Rossatto, Celso J. Villas-Boas

arXiv 2608.20787首次发表:更新:

AI 中文总结

该研究将量子相位估计经色散光-物质相互作用改造为玻色场非破坏性监测工具,结合相空间位移实现维格纳断层扫描,在多种量子态重建中获高保真度,适用于超导量子架构的玻色态表征等场景。

AI 中文摘要

量子相位估计通常作为提取幺正算子本征相位的算法基础。本文表明,当通过色散光-物质相互作用实现时,它也可作为玻色场的非破坏性测量工具。我们考虑一个与多量子比特寄存器耦合的玻色模式,校准与光子数相关的相移,使寄存器执行光子数分辨的量子相位估计读出。在耗散演化过程中重复该读出,可实现光子数动力学的非破坏性监测。我们进一步表明,通过在量子相位估计模块前施加相空间位移,相同的读出可转换为维格纳断层扫描重建。对福克态、相干态及奇偶薛定谔猫态的数值重建显示出预期的非经典相空间结构,且维格纳重叠保真度接近1。该协议为玻色场的非破坏性监测和态断层扫描提供了统一途径,与超导量子架构中玻色态的表征、校准及控制直接相关。

英文摘要

Quantum phase estimation is usually introduced as an algorithmic primitive for extracting eigenphases of unitary operators. Here we show that, when implemented through a dispersive light-matter interaction, it can also be used as a nondestructive measurement tool for bosonic fields. We consider a bosonic mode coupled to a multi-qubit register and calibrate the photon-number dependent phase shifts so that the register performs a number-resolved quantum phase estimation readout. Repeating this readout during dissipative evolution enables nondestructive monitoring of photon-number dynamics. We then show that the same readout can be converted into a Wigner tomography reconstruction by applying phase-space displacements before the quantum phase estimation block. Numerical reconstructions for Fock, coherent, and even/odd Schrödinger cat states show the expected nonclassical phase-space structures and near-unity Wigner overlap fidelities. The protocol provides a unified route to nondestructive monitoring and state tomography of bosonic fields, with direct relevance for bosonic-state characterization, calibration, and control in superconducting quantum architectures.

Comments14 pages, 3 figures

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