12,519 research outputs found

    Electric field distortions in structures of the twist bend nematic (NTB) phase of a bent-core liquid crystal

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    Dielectric spectroscopy of a twist bend nematic phase of an achiral bent core liquid crystalline compound under DC bias is used to investigate its response to electric field. Two collective relaxation processes are revealed, these are assigned to distortions of helicoidal structure by the external bias field. Frequency of the mode depends primarily on the helicoidal angle and has anomalous, softening- like behaviour at the nematic to the twist bend nematic transition. A coupling of dielectric anisotropy with electric field gives rise to a new equilibrium periodic structure in the time scale involved. The modulus of the wave vector gradually vanishes on increasing the bias field (except for the initial behaviour, which is just the opposite). Transition from the twist bend to the splay bend structure is clearly observed by a sudden drop in the frequency of this mode, which decreases almost linearly with increasing field. Results agree with predictions from current models for the periodically distorted a twist bend nematic phase.Comment: 14 PAGES, 7 FIGURES, submitted to Physical Review Letter

    Randomized Benchmarking as Convolution: Fourier Analysis of Gate Dependent Errors

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    We provide an alternative proof of Wallman's [Quantum 2, 47 (2018)] and Proctor's [Phys. Rev. Lett. 119, 130502 (2017)] bounds on the effect of gate-dependent noise on randomized benchmarking (RB). Our primary insight is that a RB sequence is a convolution amenable to Fourier space analysis, and we adopt the mathematical framework of Fourier transforms of matrix-valued functions on groups established in recent work from Gowers and Hatami [Sbornik: Mathematics 208, 1784 (2017)]. We show explicitly that as long as our faulty gate-set is close to some representation of the Clifford group, an RB sequence is described by the exponential decay of a process that has exactly two eigenvalues close to one and the rest close to zero. This framework also allows us to construct a gauge in which the average gate-set error is a depolarizing channel parameterized by the RB decay rates, as well as a gauge which maximizes the fidelity with respect to the ideal gate-set

    Generation and detection of NOON states in superconducting circuits

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    NOON states, states between two modes of light of the form ∣N,0⟩+eiϕ∣0,N⟩|N,0\rangle+e^{i\phi}|0,N\rangle allow for super-resolution interformetry. We show how NOON states can be efficiently produced in circuit quntum electrodynamics using superconducting phase qubits and resonators. We propose a protocol where only one interaction between the two modes is required, creating all the necessary entanglement at the start of the procedure. This protocol makes active use of the first three states of the phase qubits. Additionally, we show how to efficiently verify the success of such an experiment, even for large NOON states, using randomly sampled measurements and semidefinite programming techniques.Comment: 15 pages and 3 figure

    Characterization of fibroblasts with a unique defect in processing antigens with disulfide bonds

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    A Chinese hamster ovary (CHO) fibroblast, transfected with murine major histocompatibility complex (MHC) class II genes, inefficiently simulated CD4+ Th cells specific for ovalbumin (OVA), hen egg lysozyme (HEL), and pork insulin which contains disulfide bonds. However, the fibroblasts elicited a T cell response to λ-repressor, which lacks disulfide bonds, and efficiently presented synthetic peptides. A somatic cell hybrid WALC, generated by fusing the hamster fibroblast with a murine L cell fibroblast, very efficiently processed OVA and HEL, suggesting that impaired processing was genetically complemented, suggesting that the processing defect is a recessive trait. Three distinct processing phenotypes were observed among twenty-eight hybrid clones analyzed for their ability to process a suboptimal concentration of OVA suggesting that a limited number of genes mediates the defect of WAB4 cells. The hamster fibroblasts were capable of processing two distinct denatured forms of OVA and carboxymethylated HEL either as effectively or more efficiently than a B lymphoma cell. The CHO cells also displayed diminished disulfide reduction of an endocytosed conjugate consisting of 125I-tyramine linked to poly-(D-lysine) through a disulfide spacer compared with that of the cell hybrid, providing direct evidence for defective reductive cleavage for the CHO cells. Diminished aspartic acid-mediated proteolysis of Ag could not account for the phenotype, because cell lysates and separated organelles from the fibroblast possessed higher acidic aspartyl proteolytic activity than lysates and organelles from a B lymphoma cell. The WAB4 cells had normal intracellular levels of cysteine, however they possessed diminished levels of intracellular glutathione (GSH). Buthionine sulfoximine (BSO) - mediated reduction of intracellular levels of GSH decreased the ability of the hybrid line WALC to process HEL. Conversely, treatment of WAB4 cells with N-acetyl cysteine increased their efficiency in the processing of HEl. These findings indicate that the intracellular level of GSH influences the capacity of cells to process antigens with the disulfide bonds. Thus, the antigen processing defect exhibited by transfected CHO cells is probably caused by their impaired ability to reduce disulfide bonds which may be related to the diminished intracellular GSH level
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