Zhi-Jun Qin, Zhao-Hua Xu, Hui Zheng, Ya-Qi Song, Hang Ren, Wen-Ya Wang, Hong Chen, Jia-Jun Liang, Xiao-Liang Ge, Guan-Long Huang, Su Xu
Manipulating circular-, elliptical-, and linear- polarization states of radiation and enhancing the matching efficiency between radiators and receivers/detectors, emerges as a cornerstone technology for achieving high-quality wireless communications and radar detections. However, reconfiguring these polarization states freely in the chip is still an open challenge over the sub-terahertz (sub-THz) band. Here, we achieve broadband sub-THz polarization-reconfigurable on-chip radiation based on a spoof surface plasmon polaritons (SSPPs) platform. By modulating the asymmetric near-field coupling between the SSPP waveguide and scatter arrays, continuous adjustment of the axial ratio is observed numerically from 1 to 40 dB, enabling the flexible switching among all three classes of polarization states. The experiment also demonstrates this powerful dynamic polarization switching functionality. Our work broadens on-chip dynamic manipulation of sub-THz and THz waves and may also open an avenue to secure communication, satellite networks, and local data-center interconnects.
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Pub Date : 2026-02-09DOI: 10.22331/q-2026-02-09-1999
Yiyuan Chen, Jonas Helsen, Maris Ozols
The Sachdev–Ye–Kitaev (SYK) model is a prominent model of strongly interacting fermions that serves as a toy model of quantum gravity and black hole physics. In this work, we study the Trotter error and gate complexity of the quantum simulation of the SYK model using Lie–Trotter–Suzuki formulas. Building on recent results by Chen and Brandão [6] — in particular their uniform smoothing technique for random matrix polynomials — we derive bounds on the first- and higher-order Trotter error of the SYK model, and subsequently find near-optimal gate complexities for simulating these models using Lie–Trotter–Suzuki formulas. For the $k$-local SYK model on $n$ Majorana fermions, at time $t$, our gate complexity estimates for the first-order Lie–Trotter–Suzuki formula scales with $tilde{mathcal{O}}(n^{k+frac{5}{2}}t^2)$ for even $k$ and $tilde{mathcal{O}}(n^{k+3}t^2)$ for odd $k$, and the gate complexity of simulations using higher-order formulas scales with $tilde{mathcal{O}}(n^{k+frac{1}{2}}t)$ for even $k$ and $tilde{mathcal{O}}(n^{k+1}t)$ for odd $k$. Given that the SYK model has $Theta(n^k)$ terms, these estimates are close to optimal. These gate complexities can be further improved upon in the context of simulating the time evolution of an arbitrary fixed input state $|psirangle$, leading to a $mathcal{O}(n^2)$-reduction in gate complexity for first-order formulas and $mathcal{O}(sqrt{n})$-reduction for higher-order formulas.