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9 papers · 1 filter
Unbiased complex Hadamard matrices and bases
Darcy Best, Hadi Kharaghani
We introduce mutually unbiased complex Hadamard (MUCH) matrices and show that the number of MUCH matrices of order 2n, n odd, is at most 2 and the bound is attained for n = 1,5,9.…
On unit weighing matrices with small weight
Darcy Best, Hadi Kharaghani, Hugh Ramp
We study the structure of unit weighing matrices of order n and weights 2, 3 and 4. We show that the number of inequivalent unit weighing matrices UW(n,4) depends on the number of…
On Affine Fusion and the Phase Model
Mark A. Walton
A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the Wess-Zumino-Novi…
Turyn-type sequences: Classification, Enumeration and Construction
D. Best, D. Z. Djokovic, H. Kharaghani +1
Turyn-type sequences, TT(n), are quadruples of {+,-1}-sequences (A;B;C;D), with lengths n,n,n,n-1 respectively, where the sum of the nonperiodic autocorrelation functions of A,B an…
Hawking radiation, chirality, and the principle of effective theory of gravity
Adamantia Zampeli, Douglas Singleton, Elias C. Vagenas
In this paper we combine the chirality of field theories in near horizon regions with the principle of effective theory of gravity to define a new energy-momentum tensor for the th…
Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian
Dave Witte Morris
We show that if G is a nontrivial, finite group of odd order, whose commutator subgroup [G,G] is cyclic of order p^m q^n, where p and q are prime, then every connected Cayley graph…