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most citedNew Approach To A Generalized Fractional Integral

766 citations

Showing 2010Show all

10 papers · 1 filter

quant-ph2010★ 13 cited

Affine Maps of the Polarization Vector for Quantum Systems of Arbitrary Dimension

Mark S. Byrd, C. Allen Bishop, Yong-Cheng Ou

The operator-sum decomposition (OS) of a mapping from one density matrix to another has many applications in quantum information science. To this mapping there corresponds an affin…

math.CA2010★ 766 cited

New Approach To A Generalized Fractional Integral

Udita N. Katugampola

The paper presents a new formula for the fractional integration, which generalizes the Riemann-Liouville and Hadamard fractional integrals into a single form, which when a paramete…

cond-mat.mes-hall2010★ 33 cited

Quantitative Excited State Spectroscopy of a Single InGaAs Quantum Dot Molecule through Multi-million Atom Electronic Structure Calculations

Muhammad Usman, Yui-Hong Matthias Tan, Hoon Ryu +4

Atomistic electronic structure calculations are performed to study the coherent inter-dot couplings of the electronic states in a single InGaAs quantum dot molecule. The experiment…

cond-mat.soft2010★ 64 cited

Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic

Carl F. Schreck, Corey S. O'Hern, Leonardo E. Silbert

We perform extensive computational studies of two-dimensional static bidisperse disk packings using two distinct packing-generation protocols. The first involves thermally quenchin…

quant-ph2010★ 1 cited

Security of high speed quantum key distribution with finite detector dead time

Viacheslav Burenkov, Bing Qi, Ben Fortescue +1

The security of a high speed quantum key distribution system with finite detector dead time τ is analyzed. When the transmission rate becomes higher than the maximum count rate of…

quant-ph2010★ 6 cited

All maps equivalent to a given map, completely positive or not

Yong-Cheng Ou, Mark S. Byrd

A dynamical map is a map which takes one density operator to another. Such a map can be written in an operator-sum representation (OSR) using a spectral decomposition. The method o…