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Lectures on entanglement in quantum field theory
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Lectures on entanglement in quantum field theory
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These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four chapters covering the following subjects: Entanglement in quantum field theory, Irreversibility theorems, Energy-entropy bounds, Entanglement and symmetries.
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Cited by 10 Pith papers
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Mutual Information from Modular Flow in General CFTs
A hierarchy of approximations to the mutual information in CFTs is derived from modular flow and two-point functions of primaries, providing a high-precision formula for arbitrary ball separations that supersedes prev...
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q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of DSSYK produce transfer matrices from basic orthogonal polynomials whose chord numbers map to ER bridge lengths and signal geometric transitions with discrete spectra in sine dilaton gravity.
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q-Askey Deformations of Double-Scaled SYK
q-Askey deformations of double-scaled SYK yield transfer matrices for orthogonal polynomials whose semiclassical chord dynamics map to ER bridges and new geometric transitions in sine dilaton gravity.
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Probing chiral topological states with permutation defects
Permutation defects between wavefunction replicas yield multipartite entanglement measures that capture the chiral central charge from bulk states in chiral topological phases.
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Exact calculation of entanglement negativity for a 1+1D massless scalar field using phase space methods
Exact computation of logarithmic negativity between arbitrary compact regions in 1+1D massless scalar field vacuum via Kähler structure diagonalization of partially-transposed complex structure, reformulated as comple...
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The negativity core of a 1+1D massless scalar quantum field
Analytic computation of logarithmic negativity and closed-form negativity cores for vacuum entanglement between two bounded regions in 1+1D free massless scalar QFT.
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Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-ener...
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Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specif...
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Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory
Derives new state-independent lower bounds on semi-local integrals of null energy flux in QFTs of two and higher dimensions using QNEC, strong subadditivity, and modular Hamiltonians.
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Topological entanglement entropy meets holographic entropy inequalities
Derives conditions for TEE probes, generalizes cyclic and multi-information quantities, and verifies holographic entropy inequalities for gapped topological states.
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