Positive semidefinite biquadratic forms
From MaRDI portal
Publication:1230093
DOI10.1016/0024-3795(75)90058-0zbMath0336.15014OpenAlexW1970556775WikidataQ93521097 ScholiaQ93521097MaRDI QIDQ1230093
Publication date: 1975
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(75)90058-0
Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Quadratic and bilinear forms, inner products (15A63)
Related Items
A practical approach to SOS relaxations for detecting quantum entanglement, Positive maps and entanglement in real Hilbert spaces, Second‐Second Moments and Two Observers Testing Quantum Nonlocality, Non-Markovianity and entanglement detection, Orbit-injective covariant quantum channels, A class of optimal positive maps in \(M_n\), Zero-error correctibility and phase retrievability for twirling channels, On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities, Measurement-device-independent nonlinear entanglement witnesses, Unnamed Item, On the extreme rays of the cone of \(3\times 3\) quasiconvex quadratic forms: extremal determinants versus extremal and polyconvex forms, Merging of positive maps: a construction of various classes of positive maps on matrix algebras, Linear preservers of balanced singular inertia classes, Symmetry groups, semidefinite programs, and sums of squares, Entanglement Witnesses Arising from Exposed Positive Linear Maps, On positive linear maps between matrix algebras, On maps which preserve semipositivity and quantifier elimination theory for real numbers, Some Recent Developments in Spectrahedral Computation, Extreme n-positive linear maps, The \(\mathrm{PPT}^2\) conjecture holds for all Choi-type maps, Matrix analysis and quantum information, Real zeros for positive semidefinite forms. I, New examples of extremal positive linear maps, Opérateurs positifs sur certains espaces de formes quadratiques. (Positive operators on certain spaces of quadratic forms), On the definition, stationary distribution and second order structure of positive semidefinite Ornstein-Uhlenbeck type processes, Optimality of a class of entanglement witnesses for \(3\otimes 3\) systems, Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery, Signature preserving linear maps of Hermitian matrices, Chapter 3:inertia preservers, On the structure of the set of positive maps, Generation of mapping cones from small sets, A note on decomposable maps on operator systems, Decomposition of positive projections on C*-algebras, Separable states and positive maps, A note on the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry, NP-hardness of deciding convexity of quartic polynomials and related problems, Quantifier elimination theory and maps which preserve semipositivity, Sums of squares. II: Matrix functions, Formulas for calculating the extremum ranks and inertias of a four-term quadratic matrix-valued function and their applications, Multidimensional circuit synthesis and multivariable dilation theory, Standard bi-quadratic optimization problems and unconstrained polynomial reformulations, Some angularity and inertia theorems related to normal matrices, Unital Positive Maps and Quantum States, A class of generalized positive linear maps on matrix algebras, Notes on extremality of the Choi map, Completely positive module maps and completely positive extreme maps, A factorization property of positive maps on C*-algebras, Who's afraid of not completely positive maps?, Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive, Convex cones in mapping spaces between matrix algebras, Geometry of quantum states: new construction of positive maps, Atomic positive linear maps in matrix algebras, Construction of noisy bound entangled states and the range criterion, Generalized Choi maps in three-dimensional matrix algebra, Unextendible product bases, bound entangled states, and the range criterion, Positive definiteness of paired symmetric tensors and elasticity tensors, Polynomial diffusions on compact quadric sets, Indecomposable exposed positive bi-linear maps between two by two matrices, Generalizing Choi-like maps, A Note on Positive Maps and Classification of States, Families of positivity preserving but not completely positive superoperators, Partial positive scaling transform: a separability criterion, Quantum dynamical semigroups and non-decomposable positive maps, A family of indecomposable positive linear maps based on entangled quantum states, FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT, Structure of irreducibly covariant quantum channels for finite groups, Cartesian decomposition of an almost definite complex matrix, On sums of squares, Characterization of partial positive transposition states and measures of entanglement, Positive groups on \(\mathcal H^n\) are completely positive, Remarks on positive maps of finite-dimensional simple Jordan algebras, Facial structures for decomposable positive linear maps in matrix algebras, An elementary and constructive solution to Hilbert’s 17th Problem for matrices, On \(k\)-decomposability of positive maps, Entanglement witnesses generated by positive maps, Non-Decomposable Quantum Dynamical Semigroups and Bound Entangled States, A convex polynomial that is not sos-convex, The structural physical approximation conjecture, Extremal positive semidefinite forms, Positive maps of low dimensional matrix algebras, Indecomposable positive linear maps constructed from permutations, DUALITIES AND POSITIVITY IN THE STUDY OF QUANTUM ENTANGLEMENT, Tensor product extension of entanglement witnesses and their connection with measurement-device-independent entanglement witnesses, Cones of positive maps and their duality relations, On the Choi-Lam analogue of Hilbert's 1888 theorem for symmetric forms, Bi-block positive semidefiniteness of bi-block symmetric tensors, Linear preservers of copositive matrices, Entanglement of positive definite functions on compact groups, A series of absolutely indecomposable positive maps in matrix algebras, Integral solution of Hilbert's seventeenth problem, Positive Maps and Separable Matrices, Positive linear maps between matrix algebras which fix diagonals, The set of separable states has no finite semidefinite representation except in dimension \(3\times 2\), ON THE RELATION BETWEEN THE VEC AND BEKK MULTIVARIATE GARCH MODELS, Entangled states with positive partial transposes arising from indecomposable positive linear maps, Reflections upon separability and distillability, Characterization of distillability of entanglement in terms of positive maps, On bipartite operators defined by sets of completely different permutations, ON APPLICATIONS OF PI-ALGEBRAS IN THE ANALYSIS OF QUANTUM CHANNELS, Rank properties of exposed positive maps, On the Real Zeros of Positive Semidefinite Biquadratic Forms, Quantum causal modelling, A Semidefinite Hierarchy for Containment of Spectrahedra, Detecting quantum entanglement., Exotic one-parameter semigroups of endomorphisms of a symmetric cone, Positive maps from irreducibly covariant operators, A class of atomic positive linear maps in matrix algebras, Indecomposable positive maps in low dimensional matrix algebras, On Symmetric Bound Entangled States of Two Qudits
Cites Work