143 citations · 758 across the 49 of their papers we have counts for
49 papers
Degrees of entanglement for multipartite systems
A. I. Solomon, C. -L. Ho, G. H. E. Duchamp
We propose a unified mathematical scheme, based on a classical tensor isomorphism, for characterizing entanglement that works for pure states of multipartite systems of any number…
Condition for tripartite entanglement
A. I. Solomon, C. -L. Ho
We propose a scheme for classifying the entanglement of a tripartite pure qubit state. This classification scheme consists of an ordered list of seven elements. These elements are…
Quantum Control of Two-Qubit Entanglement Dissipation
Sophie G. Schirmer, Allan I. Solomon
We investigate quantum control of the dissipation of entanglement under environmental decoherence. We show by means of a simple two-qubit model that standard control methods - cohe…
Entanglement Dissipation: Unitary and Non-unitary Processes
Allan I. Solomon
Dissipative processes in physics are usually associated with non-unitary actions. However, the important resource of entanglement is not invariant under general unitary transformat…
Independence of hyperlogarithms over function fields via algebraic combinatorics
Matthieu Deneufchâtel, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh +1
We obtain a necessary and sufficient condition for the linear independence of solutions of differential equations for hyperlogarithms. The key fact is that the multiplier (i.e. the…
An interface between physics and number theory
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Allan I. Solomon +1
We extend the Hopf algebra description of a simple quantum system given previously, to a more elaborate Hopf algebra, which is rich enough to encompass that related to a descriptio…