Kähler quantization and entanglement

DOI10.1016/S0034-4877(17)30077-0zbMath1384.81140arXiv1806.10226OpenAlexW3103326641MaRDI QIDQ1746052

Timothy Pollock, Tatyana Barron

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10226

zbMATH Keywords

Lagrangian submanifoldcompact Kähler manifoldholomorphic Hermitian line bundleentropy of entanglement

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (3)

Entanglement and products ⋮ Entanglement of mixed states in Kähler quantization ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semiclassical states associated with isotropic submanifolds of phase space
• Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
• Symplectic geometry of entanglement
• Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
• Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
• Dispersionless Toda and Toeplitz operators
• Bohr-Sommerfeld tori and relative Poincaré series on a complex hyperbolic space
• Lagrangian intersections in contact geometry
• Legendrian distributions with applications to relative Poincaré series
• Stability functions
• String theory on elliptic curve orientifolds and \(KR\)-theory
• Holomorphic Morse inequalities and Bergman kernels
• Legendrian tori and the semi-classical limit
• BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS
• Symmetry types of hyperelliptic Riemann surfaces
• A note on scaling asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
• COHERENT STATES AND KAHLER MANIFOLDS
• Abelian Lagrangian algebraic geometry
• Toeplitz operators in TQFT via skein theory
• Bipartite entanglement, spherical actions, and geometry of local unitary orbits
• Geometry of Quantum States

This page was built for publication: Kähler quantization and entanglement