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6 papers · 1 filter
(a,b)-rectangle patterns in permutations and words
Sergey Kitaev, Jeffrey Remmel
In this paper, we introduce the notion of a -rectangle pattern on permutations that not only generalizes the notion of successive elements (bonds) in permutations, but is al…
Entanglement of one-magnon Schur-Weyl states
Pawel Jakubczyk, Yevgen Kravets, Dorota Jakubczyk
We investigate the entanglement properties of symmetry states of the Schur-Weyl duality. Our approach based on reduced two-qubit density matrices, and concurrence as the measure of…
Ancilla Driven Quantum Computation with arbitrary entangling strength
Kerem Halil Shah, Daniel Kuan Li Oi
We extend the model of Ancilla Driven Quantum Computation (ADQC) by considering gates with arbitrary entangling power. By giving up stepwise determinism, universal QC can still be…
A statistical mechanics description of environmental variability in metabolic networks
Jonathan J Crofts, Ernesto Estrada
Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are high…
Web worlds, web-colouring matrices, and web-mixing matrices
Mark Dukes, Einan Gardi, Einar Steingrimsson +1
We introduce a new combinatorial object called a web world that consists of a set of web diagrams. The diagrams of a web world are generalizations of graphs, and each is built on t…
Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers
Jean-Christophe Aval, Michele D'Adderio, Mark Dukes +2
We study the statistics area, bounce and dinv on the set of parallelogram polyominoes having a rectangular m times n bounding box. We show that the bi-statistics (area, bounce) and…