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arXiv 2302.03155cond-mat.supr-con
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任意磁通偏置 Josephson 电路的 Hamiltonian 极值

Hamiltonian Extrema of an Arbitrary Flux-Biased Josephson Circuit

A. Miano, V. R. Joshi, G. Liu, W. Dai, P. D. Parakh, L. Frunzio, M. H. Devoret

AI总结:

针对任意磁通偏置非线性超导 Josephson 电路,本文提出系统寻找 Hamiltonian 极值并计算其邻域级数展开的方法,以支持新型量子器件功能设计。

摘要:

包含一个或多个 Josephson 结的磁通偏置环路,是基于超导电路的量子信息实验中普遍存在的元件。这些量子电路可被调控以实现多种 Hamiltonian,应用范围涵盖抗退相干量子比特、量子极限转换器和放大器。这些电路 Hamiltonian 的极值尤其受到关注,因为它们支配着电路的低能动力学。然而,迄今为止,超导量子电路理论仍缺少一种系统方法,用于针对任意非线性超导电路寻找这些极值,并计算 Hamiltonian 在其邻域内的级数展开。我们提出了这样一种方法,可助力合成量子器件中的新功能。

英文摘要:

Flux-biased loops including one or more Josephson junctions are ubiquitous elements in quantum information experiments based on superconducting circuits. These quantum circuits can be tuned to implement a variety of Hamiltonians, with applications ranging from decoherence-protected qubits to quantum limited converters and amplifiers. The extrema of the Hamiltonian of these circuits are of special interest because they govern their low-energy dynamics. However, the theory of superconducting quantum circuits so far lacks a systematic method to find these extrema and compute the series expansion of the Hamiltonian in their vicinity for an arbitrary nonlinear superconducting circuit. We present such a method, which can aid the synthesis of new functionalities in quantum devices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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