Entanglement Theory

Controlled quantum dynamics is concerned with the preparation, control and read-out of composite quantum systems. This raises considerable experimental challenges but also leads us, quite naturally, to questions concerning the mathematical structure of states, dynamics and correlations in composite quantum systems.
What are for example the most suitable mathematical structures for the description of the states and evolution of composite quantum systems or quantum many-body systems? How efficiently can we manipulate quantum states under contrained sets of operations? Is there a quantitative theory of quantum correlations a.k.a. entanglement and how is it related for example to thermodynamics and statistical mechanics.
Our group explores all of the above questions, and some more, within the subject ofentanglement theory. This work provides the technical and conceptual underpinning for many research problems that we are pursuing in this group.

Some material for first reading:

An introduction to entanglement measures – M. B. Plenio and S. Virmani, Quantum Information and Computation 7, 1 (2007).
Area laws for the entanglement entropy – a review– J. Eisert, M. Cramer and M. B. Plenio, Reviews of Modern Physics 82, 277 (2010).

More specialized recent work from our group:

A Generalization of Quantum Stein’s Lemma – F.G.S.L. Brandao and M. B. Plenio, Communications in Mathematical Physics 295, 791 (2010).
Entanglement Theory and the Second Law – F.G.S.L. Brandao and M. B. Plenio, Nature Physics 4, 873 (2008).
A complete criterion for separability detection – M. Navascues, M. Owari and M. B. Plenio, Physical Review Letters 103, 160404 (2009).