We consider BRST quantized 2D gravity coupled to conformal matter with arbitrary central charge c M = c(p, q) < 1 in the conformal gauge. We apply a Lian-Zuckerman SO(2, C I) ((p, q)-dependent) rotation to Witten's c M = 1 chiral ground ring. We show that the ring structure generated by the (relative BRST cohomology) discrete states in the (matter ⊗ Liouville ⊗ ghosts) Fock module may be obtain...

We study the quantum matrix algebra R21x1x2 = x2x1R and for the standard 2×2 case propose it for the co-ordinates of q-deformed Euclidean space. The algebra in this simplest case is isomorphic to the usual quantum matrices Mq(2) but in a form which is naturally covariant under the Euclidean rotations SUq(2)⊗SUq(2). We also introduce a quantum Wick rotation that twists this system precisely into...

We have devised an artificial intelligence algorithm with machine reinforcement learning (Q-learning) to construct remarkable entangled states four qubits. This way, the is able generate representative for some of 49 true SLOCC classes four-qubit entanglement states. In particular, it possible reach at least one class each nine families. The quantum circuits synthesized by may be useful experim...

Non-linear reduced MHD modelling of the response of a toroidally rotating plasma on Resonant Magnetic Perturbations (RMPs) is presented for DIII-D and ITER typical parameter. The non-linear cylindrical reduced MHD (RMHD) code was adapted to take into account toroidal rotation and plasma braking mechanisms such as resonant braking and the Neoclassical Toroidal Viscosity (NTV). The resonant harmo...

We obtained high quality spectra of 135 stars of spectral types F and later and derived " overall " broadening functions in selected wavelength regions utilizing a Least Squares Deconvolution (LSD) procedure. Precision values of the projected rotational velocity v sin i were derived from the first zero of the Fourier transformed profiles and the shapes of the profiles were analyzed for effects ...

Inwardly rectifying K(+) (Kir) channels, serving as natural molecular nanomachines, transport potassium ions across the plasma membrane of the cell. Along the ion permeation pathway, three relatively narrow regions (the selectivity filter (SF), the inner helix bundle crossing (HBC), and the cytosolic G loop) may serve as gates to control ion permeation. Our previous molecular dynamics simulatio...

We show that, for any n > 0, the Heisenberg interaction among 2n qubits (as spin-1/2 particles) can be used to exactly implement an n-qubit parity gate, which is equivalent in constant depth to an n-qubit fanout gate. Either isotropic or nonisotropic versions of the interaction can be used. We generalize our basic results by showing that any Hamiltonian (acting on suitably encoded logical qubit...

The experimental study was conducted to investigate the effects of different opening ranges of waste gate of a turbocharged medium displacement spark ignition engine on improving work parameters such as exhaust emission, torque characteristics and fuel consumption. The object of the experimental tests was an engine with modified intake and exhaust manifolds. The intake and exhaust manifold modi...

Rauschenberger and Yantis (2006) observed that an intersecting circle-line combination enjoyed significantly greater search efficiency when it was oriented to resemble a "Q" than when it was oriented so that the intersecting line was vertical (cf. Treisman and Souther, 1985). Although a control experiment made it unlikely that the obliqueness of the line was responsible for the observed benefit...

We present designs of reversible Peres logic gate and FeynmanDouble logic gate based on all-optical switching by two-photon absorption induced free-carrier injection in silicon add-drop microring resonators. The logic gates have been theoretically analyzed using time-domain coupled-mode theory and all-optical switching has been optimized for low-power (25 mW) ultrafast (25 ps) operation with hi...