209 citations · 994 across the 7 of their papers we have counts for
5 papers · 1 filter
Statistical Mechanical Models and Topological Color Codes
H. Bombin, M. A. Martin-Delgado
We find that the overlapping of a topological quantum color code state, representing a quantum memory, with a factorized state of qubits can be written as the partition function of…
Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study
H. Bombin, M. A. Martin-Delgado
We study the resources needed to construct topological 2D stabilizer codes as a way to estimate in part their efficiency and this leads us to perform a comparative study of surface…
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…
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…
Entanglement Distillation Protocols and Number Theory
H. Bombin, M. A. Martin-Delgado
We show that the analysis of entanglement distillation protocols for qudits of arbitrary dimension benefits from applying basic concepts from number theory, since the set $\zdn…