7 papers
Deformations of the Boundary Theory of the Square Lattice AKLT Model
John Martyn, Kohtaro Kato, Angelo Lucia
The 1D AKLT model is a paradigm of antiferromagnetism, and its ground state exhibits symmetry-protected topological order. On a 2D lattice, the AKLT model has recently gained atten…
Toy model of boundary states with spurious topological entanglement entropy
Kohtaro Kato, Fernando G. S. L. Brandão
Topological entanglement entropy has been extensively used as an indicator of topologically ordered phases. We study the conditions needed for two-dimensional topologically trivial…
Clustering of conditional mutual information for quantum Gibbs states above a threshold temperature
Tomotaka Kuwahara, Kohtaro Kato, Fernando G. S. L. Brandão
We prove that the quantum Gibbs states of spin systems above a certain threshold temperature are approximate quantum Markov networks, meaning that the conditional mutual informatio…
Macroscopic Thermodynamic Reversibility in Quantum Many-Body Systems
Philippe Faist, Takahiro Sagawa, Kohtaro Kato +2
The resource theory of thermal operations, an established model for small-scale thermodynamics, provides an extension of equilibrium thermodynamics to nonequilibrium situations. On…
Fusion rules from entanglement
Bowen Shi, Kohtaro Kato, Isaac H. Kim
We derive some of the axioms of the algebraic theory of anyon [A. Kitaev, Ann. Phys., 321, 2 (2006)] from a conjectured form of entanglement area law for two-dimensional gapped sys…
An entropic invariant for 2D gapped quantum phases
Kohtaro Kato, Pieter Naaijkens
We introduce an entropic quantity for two-dimensional (2D) quantum spin systems to characterize gapped quantum phases modeled by local commuting projector code Hamiltonians. The de…