Use of dynamical coupling for improved quantum state transfer

We propose a method to improve quantum state transfer in transmission lines. The idea is to localize the information on the last qubit of a transmission line, by dynamically varying the coupling constants between the first and the last pair of qubits. The fidelity of state transfer is higher then in a chain with fixed coupling constants. The effect is stable against small fluctuations in the system parameters.Comment: 5 pages, 7 figure

Role of interference in quantum state transfer through spin chains

We examine the role that interference plays in quantum state transfer through several types of finite spin chains, including chains with isotropic Heisenberg interaction between nearest neighbors, chains with reduced coupling constants to the spins at the end of the chain, and chains with anisotropic coupling constants. We evaluate quantitatively both the interference corresponding to the propagation of the entire chain, and the interference in the effective propagation of the first and last spins only, treating the rest of the chain as black box. We show that perfect quantum state transfer is possible without quantum interference, and provide evidence that the spin chains examined realize interference-free quantum state transfer to a good approximation.Comment: 10 figure

Efficiency of Grinding and Mechanical Activation of Solids in Planetary Ball Mills

We develop the algorithm of the procedure for determin-ing the efficiency of operation of planetary mills which is based on the analysis of the movement of the entire load(balls and material) in drums, with the calculation of energy and frequency characteristics of the interaction between milling bodies and material under treatment. We describe the procedure of determination of the efficient power input consumed for driving the ball load of a plane-tary mill and thus for performing the work of grinding and mechanical activation of the material, and some practical examples of industrial applications of planetary-type mills

Quantum state transfer in arrays of flux qubits

In this work, we describe a possible experimental realization of Bose's idea to use spin chains for short distance quantum communication [S. Bose, {\it Phys. Rev. Lett.} {\bf 91} 207901]. Josephson arrays have been proposed and analyzed as transmission channels for systems of superconducting charge qubits. Here, we consider a chain of persistent current qubits, that is appropriate for state transfer with high fidelity in systems containing flux qubits. We calculate the fidelity of state transfer for this system. In general, the Hamiltonian of this system is not of XXZ-type, and we analyze the magnitude and the effect of the terms that don't conserve the z-component of the total spin.Comment: 10 pages, 8 figure

1-(3,5-Dichloro­phen­yl)-1H-1,2,3,4-tetra­zole

In the title compound, C7H4Cl2N4, the dihedral angle between the tetra­zole and benzene rings is 17.2 (2)°. In the crystal, C—H⋯N inter­actions link the mol­ecules into a flattened helical chain along the b axis

1-(4-Chloro­phen­yl)-1H-1,2,3,4-tetra­zole

There are two independent mol­ecules in the asymmetric unit of the title compound, C7H5ClN4, in which the tetra­zole and benzene rings are twisted by dihedral angles of 12.9 (1) and 39.8 (1)°. In the crystal, the independent mol­ecules are connected into a tetra­mer by C—H⋯N hydrogen bonds, generating an R 4 4(12) graph-set motif

Lost photon enhances superresolution

Quantum imaging can beat classical resolution limits, imposed by diffraction of light. In particular, it is known that one can reduce the image blurring and increase the achievable resolution by illuminating an object by entangled light and measuring coincidences of photons. If an $n$-photon entangled state is used and the $n$th-order correlation function is measured, the point-spread function (PSF) effectively becomes $\sqrt n$ times narrower relatively to classical coherent imaging. Quite surprisingly, measuring $n$-photon correlations is not the best choice if an $n$-photon entangled state is available. We show that for measuring $(n-1)$-photon coincidences (thus, ignoring one of the available photons), PSF can be made even narrower. This observation paves a way for a strong conditional resolution enhancement by registering one of the photons outside the imaging area. We analyze the conditions necessary for the resolution increase and propose a practical scheme, suitable for observation and exploitation of the effect

Algorithmic approach to linearization of scalar ordinary differential equation

Аналитическая теория дифференциальных уравнени