Lorentzian symmetries emerge from preserving linear entropy in qubits, yielding SL(2,C) invariants for spectral quantities and the Minkowski metric from singlet-state correlations.
Takayanagi,Essay: Emergent Holographic Spacetime from Quantum Information,Phys
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Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripartite pure states.
citing papers explorer
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On Lorentzian symmetries of quantum information
Lorentzian symmetries emerge from preserving linear entropy in qubits, yielding SL(2,C) invariants for spectral quantities and the Minkowski metric from singlet-state correlations.
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Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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Genuine multientropy, dihedral invariants and Lifshitz theory
Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripartite pure states.