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Optimization over trace polynomials (Q2068367)

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Language	Label	Description	Also known as
English	Optimization over trace polynomials	scientific article

Statements

scholarly article

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Optimization over trace polynomials (English)

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Annales Henri Poincaré

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publication date

19 January 2022

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full work available at URL

https://arxiv.org/abs/2006.12510

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zbMATH Keywords

noncommutative polynomial

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(pure) trace polynomial

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semialgebraic set

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semidefinite programming

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trace optimization

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Positivstellensatz

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von Neumann algebra

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Handbook on semidefinite, conic and polynomial optimization

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The tracial moment problem and trace-optimization of polynomials

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Characterization of equivariant maps and application to entanglement detection

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Optimization of Polynomials in Non-Commuting Variables

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Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics

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Flat extensions of positive moment matrices: recursively generated relations

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Polynomial Bell Inequalities

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Proposed Experiment to Test Local Hidden-Variable Theories

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NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials

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Constrained Polynomial Optimization Problems with Noncommuting Variables

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Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.

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Separability properties of tripartite states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi></mml:math>symmetry

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Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels

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Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization

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Lower bounds on matrix factorization ranks via noncommutative polynomial optimization

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A noncommutative moment problem

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``Positive'' noncommutative polynomials are sums of squares.

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Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps

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Proper analytic free maps

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Generalized log-majorization and multivariate trace inequalities

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A positivstellensatz for non-commutative polynomials

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Positive maps and trace polynomials from the symmetric group

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Minimizer Extraction in Polynomial Optimization Is Robust

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Connes' embedding conjecture and sums of Hermitian squares

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Free Function Theory Through Matrix Invariants

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Positive trace polynomials and the universal Procesi-Schacher conjecture

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Global Optimization with Polynomials and the Problem of Moments

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Differential equations, difference equations and matrix theory

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Semidefinite characterization and computation of zero-dimensional real radical ideals

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Equivalent forms of the Bessis-Moussa-Villani conjecture

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Factorization of operator-valued polynomials in several non-commuting variables

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A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming

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Configuration of Separability and Tests for Multipartite Entanglement in Bell-Type Experiments

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Hyperbolic polynomials and generalized Clifford algebras

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Convergent Relaxations of Polynomial Optimization Problems with Noncommuting Variables

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The invariant theory of \(n\times n\) matrices

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Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer.

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Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization

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Multivariate trace inequalities

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The \(K\)-moment problem for compact semi-algebraic sets

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Proof of the BMV conjecture

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Theory of operator algebras I.

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Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model

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Handbook of semidefinite programming. Theory, algorithms, and applications

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Identifiers

zbMATH Open document ID

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10.1007/s00023-021-01095-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2068367

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