41,363 research outputs found
Efficient high-capacity quantum secret sharing with two-photon entanglement
An efficient high-capacity quantum secret sharing scheme is proposed
following some ideas in quantum dense coding with two-photon entanglement. The
message sender, Alice prepares and measures the two-photon entangled states,
and the two agents, Bob and Charlie code their information on their photons
with four local unitary operations, which makes this scheme more convenient for
the agents than others. This scheme has a high intrinsic efficiency for qubits
and a high capacity.Comment: 5 pages, no figures. A inappreciable error is correcte
On fermionic representation of the framed topological vertex
The Gromov-Witten invariants of \mathbb{C}^3 with branes is encoded in the
topological vertex which has a very complicated combinatorial expression. A
simple formula for the topological vertex was proposed by Aganagic et al in the
fermionic picture. We will propose a similar formula for the framed topological
vertex and prove it in the case when there are one or two branes.Comment: An acknowledgement adde
A Class of Second Order Difference Approximation for Solving Space Fractional Diffusion Equations
A class of second order approximations, called the weighted and shifted
Gr\"{u}nwald difference operators, are proposed for Riemann-Liouville
fractional derivatives, with their effective applications to numerically
solving space fractional diffusion equations in one and two dimensions. The
stability and convergence of our difference schemes for space fractional
diffusion equations with constant coefficients in one and two dimensions are
theoretically established. Several numerical examples are implemented to
testify the efficiency of the numerical schemes and confirm the convergence
order, and the numerical results for variable coefficients problem are also
presented.Comment: 24 Page
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