Derives several new quantum bit thread prescriptions equivalent to quantum extremal surfaces for static holographic states and introduces entanglement distribution functions organized into the entropohedron convex polytope.
Infinitely many constrained inequalities for the von Neumann entropy
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We exhibit infinitely many new, constrained inequalities for the von Neumann entropy, and show that they are independent of each other and the known inequalities obeyed by the von Neumann entropy (basically strong subadditivity). The new inequalities were proved originally by Makarychev et al. [Commun. Inf. Syst., 2(2):147-166, 2002] for the Shannon entropy, using properties of probability distributions. Our approach extends the proof of the inequalities to the quantum domain, and includes their independence for the quantum and also the classical cases.
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UNVERDICTED 2representative citing papers
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.
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Quantum Bit Threads and the Entropohedron
Derives several new quantum bit thread prescriptions equivalent to quantum extremal surfaces for static holographic states and introduces entanglement distribution functions organized into the entropohedron convex polytope.
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Lectures on entanglement entropy in field theory and holography
Lecture notes surveying entanglement entropy in QFT and holography, emphasizing physical aspects and the Ryu-Takayanagi formula.