TY - JOUR AB - Quantum entanglement is a key resource in currently developed quantum technologies. Sharing this fragile property between superconducting microwave circuits and optical or atomic systems would enable new functionalities, but this has been hindered by an energy scale mismatch of >104 and the resulting mutually imposed loss and noise. In this work, we created and verified entanglement between microwave and optical fields in a millikelvin environment. Using an optically pulsed superconducting electro-optical device, we show entanglement between propagating microwave and optical fields in the continuous variable domain. This achievement not only paves the way for entanglement between superconducting circuits and telecom wavelength light, but also has wide-ranging implications for hybrid quantum networks in the context of modularization, scaling, sensing, and cross-platform verification. AU - Sahu, Rishabh AU - Qiu, Liu AU - Hease, William J AU - Arnold, Georg M AU - Minoguchi, Y. AU - Rabl, P. AU - Fink, Johannes M ID - 13106 IS - 6646 JF - Science KW - Multidisciplinary SN - 0036-8075 TI - Entangling microwaves with light VL - 380 ER - TY - JOUR AB - We study the representative volume element (RVE) method, which is a method to approximately infer the effective behavior ahom of a stationary random medium. The latter is described by a coefficient field a(x) generated from a given ensemble ⟨⋅⟩ and the corresponding linear elliptic operator −∇⋅a∇. In line with the theory of homogenization, the method proceeds by computing d=3 correctors (d denoting the space dimension). To be numerically tractable, this computation has to be done on a finite domain: the so-called representative volume element, i.e., a large box with, say, periodic boundary conditions. The main message of this article is: Periodize the ensemble instead of its realizations. By this, we mean that it is better to sample from a suitably periodized ensemble than to periodically extend the restriction of a realization a(x) from the whole-space ensemble ⟨⋅⟩. We make this point by investigating the bias (or systematic error), i.e., the difference between ahom and the expected value of the RVE method, in terms of its scaling w.r.t. the lateral size L of the box. In case of periodizing a(x), we heuristically argue that this error is generically O(L−1). In case of a suitable periodization of ⟨⋅⟩ , we rigorously show that it is O(L−d). In fact, we give a characterization of the leading-order error term for both strategies and argue that even in the isotropic case it is generically non-degenerate. We carry out the rigorous analysis in the convenient setting of ensembles ⟨⋅⟩ of Gaussian type, which allow for a straightforward periodization, passing via the (integrable) covariance function. This setting has also the advantage of making the Price theorem and the Malliavin calculus available for optimal stochastic estimates of correctors. We actually need control of second-order correctors to capture the leading-order error term. This is due to inversion symmetry when applying the two-scale expansion to the Green function. As a bonus, we present a stream-lined strategy to estimate the error in a higher-order two-scale expansion of the Green function. AU - Clozeau, Nicolas AU - Josien, Marc AU - Otto, Felix AU - Xu, Qiang ID - 13129 JF - Foundations of Computational Mathematics SN - 1615-3375 TI - Bias in the representative volume element method: Periodize the ensemble instead of its realizations ER - TY - GEN AB - This dataset comprises all data shown in the figures of the submitted article "Tunable directional photon scattering from a pair of superconducting qubits" at arXiv:2205.03293. Additional raw data are available from the corresponding author on reasonable request. AU - Redchenko, Elena AU - Poshakinskiy, Alexander AU - Sett, Riya AU - Zemlicka, Martin AU - Poddubny, Alexander AU - Fink, Johannes M ID - 13124 TI - Tunable directional photon scattering from a pair of superconducting qubits ER - TY - GEN AB - Data for submitted article "Entangling microwaves with light" at arXiv:2301.03315v1 AU - Sahu, Rishabh ID - 13122 TI - Entangling microwaves with light ER - TY - JOUR AB - Brachyury, a member of T-box gene family, is widely known for its major role in mesoderm specification in bilaterians. It is also present in non-bilaterian metazoans, such as cnidarians, where it acts as a component of an axial patterning system. In this study, we present a phylogenetic analysis of Brachyury genes within phylum Cnidaria, investigate differential expression and address a functional framework of Brachyury paralogs in hydrozoan Dynamena pumila. Our analysis indicates two duplication events of Brachyury within the cnidarian lineage. The first duplication likely appeared in the medusozoan ancestor, resulting in two copies in medusozoans, while the second duplication arose in the hydrozoan ancestor, resulting in three copies in hydrozoans. Brachyury1 and 2 display a conservative expression pattern marking the oral pole of the body axis in D. pumila. On the contrary, Brachyury3 expression was detected in scattered presumably nerve cells of the D. pumila larva. Pharmacological modulations indicated that Brachyury3 is not under regulation of cWnt signaling in contrast to the other two Brachyury genes. Divergence in expression patterns and regulation suggest neofunctionalization of Brachyury3 in hydrozoans. AU - Vetrova, Alexandra A. AU - Kupaeva, Daria M. AU - Kizenko, Alena AU - Lebedeva, Tatiana S. AU - Walentek, Peter AU - Tsikolia, Nikoloz AU - Kremnyov, Stanislav V. ID - 13166 JF - Scientific Reports TI - The evolutionary history of Brachyury genes in Hydrozoa involves duplications, divergence, and neofunctionalization VL - 13 ER -