386 citations · 2.1k across the 25 of their papers we have counts for
Showing 2006 · quant-phShow all
3 papers · 2 filters
quant-ph2006★ 203 cited
Topological Computation without Braiding
H. Bombin, M. A. Martin-Delgado
We show that universal quantum computation can be performed within the ground state of a topologically ordered quantum system, which is a naturally protected quantum memory. In par…
quant-ph2006★ 91 cited
Homological Error Correction: Classical and Quantum Codes
H. Bombin, M. A. Martin-Delgado
We prove several theorems characterizing the existence of homological error correction codes both classically and quantumly. Not every classical code is homological, but we find a…
quant-ph2006★ 42 cited
Topological Quantum Error Correction with Optimal Encoding Rate
H. Bombin, M. A. Martin-Delgado
We prove the existence of topological quantum error correcting codes with encoding rates asymptotically approaching the maximum possible value. Explicit constructions of thes…