Bounds for fidelity of semiclassical Lagrangian states in Kähler quantization
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Publication:4586489
DOI10.1063/1.5030410zbMath1405.81056arXiv1705.01374OpenAlexW3101683147MaRDI QIDQ4586489
Publication date: 13 September 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.01374
Kähler manifolds (32Q15) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Lagrangian submanifolds; Maslov index (53D12) Geometric quantization (53D50) Quantum state spaces, operational and probabilistic concepts (81P16)
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Hankel-type Segal-Bargmann transform and its applications to UP and PDEs ⋮ Entanglement and products ⋮ Szegő limit theorems for singular Berezin-Toeplitz operators
Cites Work
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- Quantization of compact symplectic manifolds
- General concept of quantization
- Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
- On the quantization of polygon spaces
- Symbolic calculus for Toeplitz operators with half-form
- Toeplitz operators on symplectic manifolds
- Quantification géométrique.
- The transition probability in the state space of a \(^*\)-algebra
- Berezin--Toeplitz operators, a semi-classical approach
- Quantum speed limit versus classical displacement energy
- Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
- Legendrian distributions with applications to relative Poincaré series
- On a Hilbert space of analytic functions and an associated integral transform part I
- The Spectral Theory of Toeplitz Operators. (AM-99)
- Quasimodes and Bohr-Sommerfeld Conditions for the Toeplitz Operators
- Fidelity for Mixed Quantum States
- Sharp correspondence principle and quantum measurements
- Numerical Methods for Computing Angles Between Linear Subspaces
- Classicality of spin states
- Quantization and unitary representations
- Angles between subspaces and their tangents
- Fidelity preserving maps on density operators
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