Positive maps and trace polynomials from the symmetric group
From MaRDI portal
Publication:5855664
DOI10.1063/5.0028856zbMath1459.81023arXiv2002.12887OpenAlexW3135494478MaRDI QIDQ5855664
No author found.
Publication date: 19 March 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.12887
Miscellaneous inequalities involving matrices (15A45) Equations and inequalities involving linear operators, with vector unknowns (47A50) Spaces of linear operators; topological tensor products; approximation properties (46A32) Symmetric groups (20B30) Monoidal categories, symmetric monoidal categories (18M05) Particle exchange symmetries in quantum theory (general) (81V72) Entanglement measures, concurrencies, separability criteria (81P42)
Related Items
Tensor polynomial identities, Werner states from diagrams, Geometry and optimization in quantum information. Abstracts from the workshop held October 3--9, 2021 (hybrid meeting), Optimization over trace polynomials, Dimension-free entanglement detection in multipartite Werner states
Cites Work
- Unnamed Item
- Unnamed Item
- Polynomial identities and the Cayley-Hamilton theorem
- The invariant theory of \(n\times n\) matrices
- ``Positive noncommutative polynomials are sums of squares.
- Polynomial identity rings.
- Tensor polynomial identities
- Characterization of equivariant maps and application to entanglement detection
- When do composed maps become entanglement breaking?
- Compatibility of subsystem states
- Connes' embedding conjecture and sums of Hermitian squares
- Counterexamples to the maximal \(p\)-norm multiplicativity conjecture for all \(p>1\)
- The generalized Cayley-Hamilton theorem in n dimensions
- Positivity of linear maps under tensor powers
- Various notions of positivity for bi-linear maps and applications to tri-partite entanglement
- Optimization of Polynomials in Non-Commuting Variables
- Bipartite depolarizing maps
- Convergent Relaxations of Polynomial Optimization Problems with Noncommuting Variables
- Observable Entanglement Measure for Mixed Quantum States
- All degree 6 local unitary invariants ofkqudits
- A new criterion for indecomposability of positive maps
- TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
- Shadow bounds for self-dual codes
- Quantum shadow enumerators
- Polynomial invariants of quantum codes
- Decomposability of linear maps under tensor powers
- Bounds on absolutely maximally entangled states from shadow inequalities, and the quantum MacWilliams identity
- The Invariant Theory of Matrices
- Positive trace polynomials and the universal Procesi-Schacher conjecture
- Quantum weight enumerators
- A positivstellensatz for non-commutative polynomials
- Counterexample to an additivity conjecture for output purity of quantum channels
- 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
- Three-qubit entanglement witnesses with the full spanning properties
- Hand-waving and interpretive dance: an introductory course on tensor networks
- Genuine-multipartite entanglement criteria based on positive maps
- Compact Hermitian Young projection operators
- Structure of irreducibly covariant quantum channels for finite groups
- A Course in Finite Group Representation Theory
- Minimal Identities for Algebras
- Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps
