339 research outputs found
Towards Toric Absolute Factorization
International audienceThis article gives an algorithm to recover the absolute factorization of a bivariate polynomial, taking into account the geometry of its monomials. It is based on algebraic criterions inherited from algebraic interpolation and toric geometry
Strings, Projected Entangled Pair States, and variational Monte Carlo methods
We introduce string-bond states, a class of states obtained by placing
strings of operators on a lattice, which encompasses the relevant states in
Quantum Information. For string-bond states, expectation values of local
observables can be computed efficiently using Monte Carlo sampling, making them
suitable for a variational abgorithm which extends DMRG to higher dimensional
and irregular systems. Numerical results demonstrate the applicability of these
states to the simulation of many-body sytems.Comment: 4 pages. v2: Submitted version, containing more numerical data.
Changed title and renamed "string states" to "string-bond states" to comply
with PRL conventions. v3: Accepted version, Journal-Ref. added (title differs
from journal
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