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13 papers · 1 filter
Quantum conjugacy classes of simple matrix groups
A. Mudrov
Let be a simple complex classical group and $\g$ its Lie algebra. Let $\U_\hbar(\g)$ be the Drinfeld-Jimbo quantization of the universal enveloping algebra $\U(\g)$. We constru…
p-Nuclearity in a New Perspective
Christopher J. Fewster, Izumi Ojima, Martin Porrmann
In this paper we try to settle some confused points concerning the use of the notion of p-nuclearity in the mathematical and physical literature, pointing out that the nuclearity i…
Mediated Digraphs and Quantum Nonlocality
Gregory Gutin, Nick S. Jones, Arash Rafiey +2
A digraph D=(V,A) is mediated if, for each pair x,y of distinct vertices of D, either xy belongs to A or yx belongs to A or there is a vertex z such that both xz,yz belong to A. Fo…
Asymptotic behaviour of iterates of Volterra operators on L^p(0,1)
Simon Eveson
We derive asymptotic information on the iterates of a Volterra convolution operator acting on L^p(0,1), subject to a mild smoothness condition on the kernel. In particular, an asym…
Practical Implementations of Twirl Operations
M. S. Anwar, L. Xiao, A. J. Short +4
Twirl operations, which convert impure singlet states into Werner states, play an important role in many schemes for entanglement purification. In this paper we describe strategies…
Implementing Grover's Quantum Search on a Para-Hydrogen based Pure State NMR Quantum Computer
M. S. Anwar, D. Blazina, H. Carteret +2
We demonstrate the implementation of Grover's quantum search algorithm on a liquid state nuclear magnetic resonance (NMR) quantum computer using essentially pure states. This was a…