Dear all,

please join us on Monday at 4pm for a quantum information seminar by Robert Hübener.


Title: Wick's theorem for Matrix Product states
Speaker: Robert Hübener (Freie Universität Berlin)

Abstract:
Matrix product states and their continuous analogues are variational classes of states that capture quantum many-body systems or quantum fields with low entanglement; they are at the basis of the density-matrix renormalization group method and continuous variants thereof. In this talk we show that, generically, N-point functions of arbitrary operators in discrete and continuous translation invariant matrix product states are completely characterized by the corresponding two- and three-point functions. Aside from having important consequences for the structure of correlations in quantum states with low entanglement, this result provides a new way of reconstructing unknown states from correlation measurements e.g. for one-dimensional continuous systems of cold atoms. We argue that such a relation of correlation functions may help in devising perturbative approaches to interacting theories.

Joint work with Andrea Mari and Jens Eisert.
arXiv:1207.6537

Date: Monday, March 25, 2013 - 4:00 pm
Location: Time Room (294)


Best,
Markus