116 citations · 152 across the 5 of their papers we have counts for
6 papers
On the closure of the completely positive semidefinite cone and linear approximations to quantum colorings
Sabine Burgdorf, Monique Laurent, Teresa Piovesan
We investigate structural properties of the completely positive semidefinite cone , consisting of all the symmetric matrices that admit a Gram repres…
Correction of a proof in "Connes' embedding conjecture and sums of hermitian squares"
Sabine Burgdorf, Ken Dykema, Igor Klep +1
We show that Connes' embedding conjecture (CEC) is equivalent to a real version of the same (RCEC). Moreover, we show that RCEC is equivalent to a real, purely algebraic statement…
The truncated tracial moment problem
Sabine Burgdorf, Igor Klep
We present tracial analogs of the classical results of Curto and Fialkow on moment matrices. A sequence of real numbers indexed by words in non-commuting variables with values inva…
Pure states, nonnegative polynomials and sums of squares
Sabine Burgdorf, Claus Scheiderer, Markus Schweighofer
In recent years, much work has been devoted to a systematic study of polynomial identities certifying strict or non-strict positivity of a polynomial on a basic closed semialgebrai…
Sums of Hermitian Squares as an Approach to the BMV Conjecture
Sabine Burgdorf
Lieb and Seiringer stated in their reformulation of the Bessis-Moussa-Villani (BMV) conjecture that all coefficients of the polynomial p(t)=Tr[(A+tB)^m], where A and B are positive…
Connes' embedding conjecture and sums of hermitian squares
Igor Klep, Markus Schweighofer
We show that Connes' embedding conjecture on von Neumann algebras is equivalent to the existence of certain algebraic certificates for a polynomial in noncommuting variables to sat…