5 papers · 1 filter
Chiral Color Code : Single-shot error correction for exotic topological order
Dongjin Lee, Beni Yoshida
We present a family of simple three-dimensional stabilizer codes, called the chiral color codes, that realize fermionic and chiral topological orders. In the qubit case, the code r…
How Much Entanglement Is Needed for Topological Codes and Mixed States with Anomalous Symmetry?
Zhi Li, Dongjin Lee, Beni Yoshida
It is known that particles with exotic properties can emerge in systems made of simple constituents such as qubits, due to long-range quantum entanglement. In this paper, we provid…
How much entanglement is needed for quantum error correction?
Sergey Bravyi, Dongjin Lee, Zhi Li +1
It is commonly believed that logical states of quantum error-correcting codes have to be highly entangled such that codes capable of correcting more errors require more entanglemen…
Randomly Monitored Quantum Codes
Dongjin Lee, Beni Yoshida
Quantum measurement has conventionally been regarded as the final step in quantum information processing, which is essential for reading out the processed information but collapses…
Fracton models from product codes
Yi Tan, Brenden Roberts, Nathanan Tantivasadakarn +2
We explore a deep connection between fracton order and product codes. In particular, we propose and analyze conditions on classical seed codes which lead to fracton order in the re…