Dear all,
this is a reminder that Maarten van den Nest will be giving the
quantum information seminar at PI today. See the title and abstract
below.
Best wishes,
Markus
Title:
A monomial matrix formalism to describe quantum many-body states
Speaker: Maarten van den Nest (Max Planck Institute for Quantum
Optics, Garching/Munich, Germany)
Abstract:
We propose a framework to describe and simulate a class of many-body
quantum states. We do so by considering joint eigenspaces of sets of
monomial unitary matrices, called "M-spaces"; a unitary matrix is
monomial if precisely one entry per row and column is nonzero. We
show that M-spaces encompass various important state families, such
as all Pauli stabilizer states and codes, the AKLT model, Kitaev's
anyon models, W states and several others. We furthermore
demonstrate how basic properties of M-spaces can transparently be
understood by manipulating their monomial stabilizer groups. Finally
we show that a large subclass of M-spaces can be simulated
efficiently classically with one unified method. [cf. M. Van den
Nest, http://arxiv.org/abs/1108.0531]
Date: Monday, April 16, 2012 - 4:00 pm
Series: Perimeter Institute Quantum Information Seminar
Location: Time Room