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Proof of an entropy conjecture for Bloch coherent spin states and its generalizations
Elliott H. Lieb, Jan Philip Solovej
Wehrl used Glauber coherent states to define a map from quantum density matrices to classical phase space densities and conjectured that for Glauber coherent states the mininimum c…
Ground state properties of multi-polaron systems
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer +1
We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss th…
Further implications of the Bessis-Moussa-Villani conjecture
Elliott H. Lieb, Robert Seiringer
We find further implications of the BMV conjecture, which states that for hermitian matrices A and B, the function Tr exp(A - t B) is the Laplace transform of a positive measure.
A smooth, complex generalization of the Hobby-Rice theorem
Oleg Lazarev, Elliott H. Lieb
The Hobby-Rice Theorem states that, given functions on , there exists a multiplier such that the integrals of are all simultaneously zero. This…
Extended quantum conditional entropy and quantum uncertainty inequalities
Rupert L. Frank, Elliott H. Lieb
Quantum states can be subjected to classical measurements, whose incompatibility, or uncertainty, can be quantified by a comparison of certain entropies. There is a long history of…
Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy
Eric A. Carlen, Elliott H. Lieb
We prove lower bounds for the entanglement of formation and the squashed entanglement for any a bipartite density matrix in terms of the conditional entropy of the bipartite state…
Symmetry of bipolaron bound states for small Coulomb repulsion
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
We consider the bipolaron in the Pekar--Tomasevich approximation and address the question whether the ground state is spherically symmetric or not. Numerical analysis has, so far,…