308 citations · 1.8k across the 76 of their papers we have counts for
4 papers · 2 filters
A new operator extension of strong subadditivity of quantum entropy
Ting-Chun Lin, Isaac H. Kim, Min-Hsiu Hsieh
Let be the von Neumann entropy of a density matrix . Weak monotonicity asserts that for any tripartite density matrix $ρ_{…
Circuit depth versus energy in topologically ordered systems
Arkin Tikku, Isaac H. Kim
We prove a nontrivial circuit-depth lower bound for preparing a low-energy state of a locally interacting quantum many-body system in two dimensions, assuming the circuit is geomet…
Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
Zhaoyi Li, Isaac Kim, Patrick Hayden
We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional…
Adaptive constant-depth circuits for manipulating non-abelian anyons
Sergey Bravyi, Isaac Kim, Alexander Kliesch +1
We consider Kitaev's quantum double model based on a finite group and describe quantum circuits for (a) preparation of the ground state, (b) creation of anyon pairs separated b…