Superbalance of Holographic Entropy Inequalities

• URL: http://arxiv.org/abs/2002.04558v2
• Date: Tue, 7 Jul 2020 17:37:59 GMT
• Title: Superbalance of Holographic Entropy Inequalities
• Authors: Temple He, Veronika E. Hubeny, and Mukund Rangamani
• Abstract summary: We prove that all non-redundant holographic entropy inequalities are superbalanced. This is tantamount to proving that besides subadditivity, all non-redundant holographic entropy inequalities are superbalanced.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The domain of allowed von Neumann entropies of a holographic field theory carves out a polyhedral cone -- the holographic entropy cone -- in entropy space. Such polyhedral cones are characterized by their extreme rays. For an arbitrary number of parties, it is known that the so-called perfect tensors are extreme rays. In this work, we constrain the form of the remaining extreme rays by showing that they correspond to geometries with vanishing mutual information between any two parties, ensuring the absence of Bell pair type entanglement between them. This is tantamount to proving that besides subadditivity, all non-redundant holographic entropy inequalities are superbalanced, i.e. not only do UV divergences cancel in the inequality itself (assuming smooth entangling surfaces), but also in the purification thereof.

Related papers

• Critical spin models from holographic disorder [49.1574468325115]
  We study the behavior of XXZ spin chains with a quasiperiodic disorder not present in continuum holography. Our results suggest the existence of a class of critical phases whose symmetries are derived from models of discrete holography.
  arXiv  Detail & Related papers  (2024-09-25T18:00:02Z)
• Characterizing Translation-Invariant Bell Inequalities using Tropical Algebra and Graph Polytopes [0.873811641236639]
  We characterize translation-invariant (TI) Bell inequalities with finite-range correlators in one-dimensional geometries. Surprisingly, we find that the TI Bell polytope has a number of extremal points that can be uniformly upper-bounded with respect to the system size.
  arXiv  Detail & Related papers  (2024-07-11T18:00:06Z)
• Two infinite families of facets of the holographic entropy cone [4.851309113635069]
  We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are symmetry facets of the holographic entropy cone. On star graphs, both families of inequalities quantify how concentrated / spread information is with respect to a dihedral acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors.
  arXiv  Detail & Related papers  (2024-01-23T19:00:01Z)
• Holographic Entropy Inequalities and the Topology of Entanglement Wedge Nesting [0.5852077003870417]
  We prove two new infinite families of holographic entropy inequalities. A key tool is a graphical arrangement of terms of inequalities, which is based on entanglement wedge nesting (EWN)
  arXiv  Detail & Related papers  (2023-09-26T18:00:01Z)
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
  Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
  arXiv  Detail & Related papers  (2022-05-19T13:28:47Z)
• Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
  Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling. In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures. By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
  arXiv  Detail & Related papers  (2022-02-14T02:23:16Z)
• Holographic Cone of Average Entropies [0.0]
  We conjecture that the holographic cone of average entropies is simplicial and specify all its bounding inequalities. Its extreme rays combine features of bipartite and perfect tensor entanglement, and correspond to stages of unitary evaporation of old black holes.
  arXiv  Detail & Related papers  (2021-12-01T19:00:04Z)
• Lifting the Convex Conjugate in Lagrangian Relaxations: A Tractable Approach for Continuous Markov Random Fields [53.31927549039624]
  We show that a piecewise discretization preserves better contrast from existing discretization problems. We apply this theory to the problem of matching two images.
  arXiv  Detail & Related papers  (2021-07-13T12:31:06Z)
• Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
  We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
  arXiv  Detail & Related papers  (2021-01-29T19:00:03Z)
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories [55.53519491066413]
  We find pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace. We analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories.
  arXiv  Detail & Related papers  (2020-09-24T18:00:13Z)
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories [0.0]
  We consider the time evolution of mixed state correlation measures in two-dimensional conformal field theories. We compare rational and irrational conformal field theories. We interpret these results as a signature of information scrambling and chaos in irrational theories.
  arXiv  Detail & Related papers  (2020-01-15T19:00:01Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.