We present conductance-matrix measurements of a three-terminal superconductor-semiconductor hybrid device consisting of two normal leads and one superconducting lead. Using a symmetry decomposition of the conductance, we find that the antisymmetric components of pairs of local and nonlocal conductances match at energies below the superconducting gap, consistent with expectations based on a non-interacting scattering matrix approach. Further, the local charge character of Andreev bound states is extracted from the symmetry-decomposed conductance data and is found to be similar at both ends of the device and tunable with gate voltage. Finally, we measure the conductance matrix as a function of magnetic field and identify correlated splittings in low-energy features, demonstrating how conductance-matrix measurements can complement traditional tunneling-probe measurements in the search for Majorana zero modes.PACS numbers: 03.67. Lx, 81.07.Gf, 85.25.Cp Symmetry relations for quantum transport are often connected to deep physical principles, and make strong predictions for comparison with experiment. For instance, the Onsager-Casimir relations [1-3] arise from microscopic reversibility, and were central in early studies of quantum-coherent transport [4][5][6]. Later, predicted departures from these relations due to interaction effects [7-9], which include bias-dependence of the effective potentials, were observed in nonlinear transport [10,11]. The introduction of superconducting terminals results in additional symmetries, as conductance occurs via Andreevreflection from electrons to holes, and is invariant under particle-hole conjugation [12]. For a two-terminal normal-superconducting device, the conductance, g(V ), is a symmetric function of bias voltage, V , neglecting interaction effects. As shown in a partner theoretical paper, for multi-terminal superconducting devices g(V ) need not be symmetric, although a curious relation exists between the antisymmetric components of the local and nonlocal conductances [13]. These predictions have, to our knowledge, not been tested.Hybrid superconductor-semiconductor nanowire structures have recently become a topic of intense interest [14][15][16][17][18][19], motivated in part by proposals for achieving topological superconductivity and Majorana zero modes (MZM) [20,21]. In two-terminal superconductor-semiconductor devices, observed asymmetries in the subgap conductance [22] have been suggested to arise from a dissipative fermionic reservoir, effectively acting as a third lead [23], although, as in the normal-conducting case [3], biasdependence of the self-consistent potential can also cause a deviation from symmetry [24]. Multi-terminal super-conducting devices are a topic of particular interest, as they can be used for MZM [25][26][27][28][29][30][31], Cooper-pair splitter [32,33], and multi-terminal Josephson studies [34][35][36][37][38]. In multi-terminal superconducting quantum dot devices, bias asymmetries have been observed [39], and a relationship between nonloca...

End-to-end correlated bound states are investigated in superconductor-semiconductor hybrid nanowires at zero magnetic field. Peaks in subgap conductance are independently identified from each wire end, and a cross-correlation function is computed that counts end-to-end coincidences, averaging over thousands of subgap features. Strong correlations in a short, 300 nm device are reduced by a factor of four in a long, 900 nm device. In addition, subgap conductance distributions are investigated, and correlations between the left and right distributions are identified based on their mutual information.arXiv:1908.05549v2 [cond-mat.mes-hall]

We propose VQE circuit fabrics with advantageous properties for the simulation of strongly correlated ground and excited states of molecules and materials under the Jordan–Wigner mapping that can be implemented linearly locally and preserve all relevant quantum numbers: the number of spin up (α) and down (β) electrons and the total spin squared. We demonstrate that our entangler circuits are expressive already at low depth and parameter count, appear to become universal, and may be trainable without having to cross regions of vanishing gradient, when the number of parameters becomes sufficiently large and when these parameters are suitably initialized. One particularly appealing construction achieves this with just orbital rotations and pair exchange gates. We derive optimal four-term parameter shift rules for and provide explicit decompositions of our quantum number preserving gates and perform numerical demonstrations on highly correlated molecules on up to 20 qubits.