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20132024
most citedClustering of conditional mutual information for quantum Gibbs states above a threshold temperature

80 citations · 457 across the 18 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

quant-ph2019★ 1 cited

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…

quant-ph2019★ 17 cited

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…

quant-ph2019★ 80 cited

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…

quant-ph2019★ 17 cited

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…

quant-ph2019★ 7 cited

Asymptotic Reversibility of Thermal Operations for Interacting Quantum Spin Systems via Generalized Quantum Stein's Lemma

Takahiro Sagawa, Philippe Faist, Kohtaro Kato +3

For quantum spin systems in any spatial dimension with a local, translation-invariant Hamiltonian, we prove that asymptotic state convertibility from a quantum state to another one…

cond-mat.str-el2019★ 43 cited

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…