Epidermolysis bullosa is a rare genetic skin disease in which easily peels off and blisters are formed with mild mechanical trauma. It classified into simple, borderline, dysmorphic, mixed type. These four subtypes further according to the location of gene mutation patterns. simplex (EBS) characterized by separation epidermal or subepidermal layer. And it mostly caused keratin 5 (KRT5) KRT14 ge...

We prove upper and lower bounds relating the quantum gate complexity of a unitary operation, U, to the optimal control cost associated to the synthesis of U. These bounds apply for any optimal control problem, and can be used to show that the quantum gate complexity is essentially equivalent to the optimal control cost for a wide range of problems, including time-optimal control and finding min...

Abstract We construct a family of partially ordered sets (posets) that are q-analogs of the set partition lattice. They are different from the q-analogs proposed by Dowling [5]. One of the important features of these posets is that their Whitney numbers of the first and second kind are just the q-Stirling numbers of the first and second kind, respectively. One member of this family [4] can be c...

Russell Dowling 1,*, Bret Ericson 1,†, Jack Caravanos 2,†, Patrick Grigsby 1 and Yaw Amoyaw-Osei 3 1 Pure Earth, Formerly Blacksmith Institute, 475 Riverside Drive, Suite 860, New York, NY 10115, USA; [email protected] (B.E.); [email protected] (P.G.) 2 School of Public Health, City University of New York, 2180 Third Ave., New York, NY 10035, USA; [email protected] 3 Green Advoca...

Mark R. Dowling,* Stephen D. Bartlett, Terry Rudolph, and Robert W. Spekkens School of Physical Sciences, The University of Queensland, St. Lucia, Queensland 4072, Australia School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia Optics Section, Blackett Laboratory, Imperial College London, London SW7 2BW, United Kingdom Institute for Mathematical Sciences, Imperial...

Pieter Kok, 2, ∗ W.J. Munro, Kae Nemoto, T.C. Ralph, Jonathan P. Dowling, 6 and G.J. Milburn Department of Materials, Oxford University, Oxford OX1 3PH, UK Hewlett-Packard Laboratories, Filton Road Stoke Gifford, Bristol BS34 8QZ, UK National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan Centre for Quantum Computer Technology, University of Queensland, St. Luci...

Tae-Woo Lee, Sean D. Huver, Hwang Lee, Lev Kaplan, Steven B. McCracken, Changjun Min, Dmitry B. Uskov, Christoph F. Wildfeuer, Georgios Veronis, and Jonathan P. Dowling Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisia...

Marian Florescu,* Hwang Lee, Andrew J. Stimpson, and Jonathan Dowling Quantum Computing Technologies Group, Jet Propulsion Laboratory, California Institute of Technology, MS 126-347, 4800 Oak Grove Drive, Pasadena, California 91109, USA Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Tower Drive, Baton Rouge, Louisia...