Fetching the paper…
Reading the bibliography…
We consider optimization problems with polynomial inequality constraints in non-commuting variables.
On rings of operators. Reduction theory
J. von Neumann · 1949
Earlier work this paper cites.
Functional analysis
M. Reed and B. Simon · 1972
Earlier work this paper cites.
Positive polynomials on compact semi-algebraic sets
M. Putinar · 1993
Earlier work this paper cites.
An introduction to commutative and noncommutative Gröbner bases
T. Mora · 1994
Earlier work this paper cites.
Solution of the truncated complex moment problem with flat data
R.E. Curto and L.A. Fialkow · 1996
Earlier work this paper cites.
Structured semidefinite programs and semialgebraic geometry methods in robstness and optimization
P. A. Parrilo · 2000
Earlier work this paper cites.
Global optimization with polynomials and the problem of moments
J. B. Lasserre · 2001
Earlier work this paper cites.
L. Vandenberghe and S. Boyd · 2001
Cited alongside, same era.
“positive” noncommutative polynomials are sums of squares
J. W. Helton · 2002
Cited alongside, same era.
Variational minimization of atomic and molecular ground-state energies via the two-particle reduced density matrix
D. A. Mazziotti · 2002
Cited alongside, same era.
A positivstellensatz for non-commutative polynomials
J. W. Helton and S. A. McCullough · 2004
Cited alongside, same era.
Realization of quantum chemistry without wave functions through first-order semidefinite programming
D. A. Mazziotti · 2004
Cited alongside, same era.
Detecting global optimality and extracting solutions in GloptiPoly
Positive polynomials in scalar and matrix variables, the spectral theorem, and optimization
J. W. Helton and M. Putinar · 2007
Later among the works it cites.
Bounding the set of quantum correlations
M. Navascues, S. Pironio, and A. Acin · 2007
Later among the works it cites.
A Nichtnegativstellensatz for polynomials in noncommuting variables
I. Klep and M. Schweighofer · 2007
Later among the works it cites.
A convergent hierarchy of semdefinite programs characterizing the set of quantum correlations
M. Navascues, S. Pironio, and A. Acin · 2008
Later among the works it cites.
The quantum moment problem and bounds on entangled multi-prover games
A. C. Doherty, Y. C. Liang, B. Toner, and S. Wehner · 2008
Later among the works it cites.
Sums of squares, moment matrices and optimization over polynomials
M. Laurent · 2009
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
D. Henrion and J. B. Lasserre · 2005
Cited alongside, same era.
Convergent relaxations of polynomial matrix inequalities and static output feedback
D. Henrion and J. B. Lasserre · 2006
Cited alongside, same era.
Semidefinite programming and sums of hermitian squares of noncommutative polynomials
I. Klep and J. Povh
Cited in the paper.
NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials, available from http://ncsostools.fis.unm.si
K. Cafuta and I. Klep abd J. Povh
Cited in the paper.
Quantum multi-prover interactive proofs and decidability
T. Ito, H. Kobayashi, and K. Matsumoto
Cited in the paper.
Yalmip : A toolbox for modeling and optimization in MATLAB
J. Löfberg
Cited in the paper.
SeDuMi, a MATLAB toolbox for optimization over symmetric cones
J.F. Sturm
Cited in the paper.
Closest in time.
Quantum Bounds on Bell inequalities
K.F. Pál and T. Vértesi · 2009
Closest in time.