A General Method for Selecting Quantum Channel for Bidirectional Controlled State Teleportation and Other Schemes of Controlled Quantum Communication

Recently, a large number of protocols for bidirectional controlled state teleportation (BCST) have been proposed using $n$-qubit entangled states ($n\in\{5,6,7\}$) as quantum channel. Here, we propose a general method of selecting multi-qubit $(n>4)$ quantum channels suitable for BCST and show that all the channels used in the existing protocols of BCST can be obtained using the proposed method. Further, it is shown that the quantum channels used in the existing protocols of BCST forms only a negligibly small subset of the set of all the quantum channels that can be constructed using the proposed method to implement BCST. It is also noted that all these quantum channels are also suitable for controlled bidirectional remote state preparation (CBRSP). Following the same logic, methods for selecting quantum channels for other controlled quantum communication tasks, such as controlled bidirectional joint remote state preparation (CJBRSP) and controlled quantum dialogue, are also provided.Comment: 8 pages, no figur

Higher order nonclassicalities of finite dimensional coherent states: A comparative study

Conventional coherent states (CSs) are defined in various ways. For example, CS is defined as an infinite Poissonian expansion in Fock states, as displaced vacuum state, or as an eigenket of annihilation operator. In the infinite dimensional Hilbert space, these definitions are equivalent. However, these definitions are not equivalent for the finite dimensional systems. In this work, we present a comparative description of the lower- and higher-order nonclassical properties of the finite dimensional CSs which are also referred to as qudit CSs (QCSs). For the comparison, nonclassical properties of two types of QCSs are used: (i) nonlinear QCS produced by applying a truncated displacement operator on the vacuum and (ii) linear QCS produced by the Poissonian expansion in Fock states of the CS truncated at (d-1)-photon Fock state. The comparison is performed using a set of nonclassicality witnesses (e.g., higher order antiubunching, higher order sub-Poissonian statistics, higher order squeezing, Agarwal-Tara parameter, Klyshko's criterion) and a set of quantitative measures of nonclassicality (e.g., negativity potential, concurrence potential and anticlassicality). The higher order nonclassicality witness have found to reveal the existence of higher order nonclassical properties of QCS for the first time.Comment: A comparative description of the higher-order nonclassical properties of the finite dimensional coherent state

Rotational spectra of interstellar N- and CN-PAHs: pyrene and coronene

The detection of benzonitrile (C6H5CN), 1- and 2-cyano-naphthalene (C10H7CN) in the cold, dark molecular cloud TMC-1 at centimetre (cm) wavelengths has opened up prospects for the detection of other N- and CN-containing polycyclic aromatic hydrocarbons (PAHs). In this light, the pure rotational spectra of N-pyrene (C15H9N), CN-pyrene (C15H9CN), N-coronene (C23H11N) and CN-coronene (C23H11CN) are reported here for the first time. The B3LYP/6-311+G(d,p) level of theory, in the Density Functional Theory (DFT) calculations, achieves the best performance for calculating the spectroscopic parameters and simulating the rotational spectra. The large permanent dipole moment of CN-PAHs makes them the most suitable PAH species for detection in the interstellar medium. Additionally, pyrene's smaller partition function makes CN-pyrene a prime candidate to be discovered in cold, dark molecular clouds such as the TMC-1. The present work sets a benchmark for theoretical rotational spectra of N- and CN-containing PAHs and may act as a guide for laboratory experiments and observational searches

Matrix stiffness and confinement influence YAP localization in clustered epithelial cells

Epithelial cell clusters reside in complex extracellular matrices (ECMs) of varying mechanical properties including stiffness, topography, dimensionality, and confinement. Through mechanotransduction, cells sense and translate the mechanical cues presented by the surrounding ECM into biochemical signals, which control fundamental aspects of cell behavior including differentiation, proliferation, and motility. While it is well established that nuclear translocation of Yes-associated-protein (YAP) in single cells serves as a key sensor of ECM stiffness, it remains unknown whether grouped epithelial cells exhibit a similar nuclear YAP localization response on stiff substrates. Moreover, the regulation of YAP activity in clustered cells in confined microenvironments has remained unexplored. In this study, we cultured epithelial cell monolayers on flat polyacrylamide (PA) gels of varying stiffness and measured nuclear and cytoplasmic localization of YAP. We found that nuclear YAP localization in grouped cells increased on stiffer gels. However, this stiffness-dependent nuclear localization of YAP was not as effective in densely packed monolayers. To understand how ECM stiffness and confinement independently influence YAP activity, we fabricated a PA-microchannels platform and cultured epithelial cell clusters in channels of tunable width and stiffness. Our measurements demonstrate that the likelihood of nuclear YAP localization increases in cell clusters confined within narrower channels. In wide channels, cells neighboring the channel walls exhibit less roundedness and more nuclear YAP compared to those in the interior of the channels. Taken together, these findings reveal that the mechanosensitive nuclear localization of YAP in clustered cells depends not only on ECM stiffness, but also on the cell density and the degree of matrix confinement