8 papers · ranked by Valyu relevance
Theerapat Tansuwannont, Debbie Leung
In quantum error correction using imperfect primitives, errors of high weight arising from a few faults are major concerns since they might not be correctable by the quantum error correcting code. Fortunately, some errors of different weights are logically equivalent and the same correction procedure is applicable to…
Andrea Rodriguez-Blanco, Ho Nam Nguyen, K. Birgitta Whaley
Practical quantum computation heavily relies on the ability to perform quantum error correction in a fault-tolerant manner. Fault-tolerant encoding is a critical first step, and careful consideration of the error correction cycle that follows is essential for ensuring the encoding's effectiveness and compatibility. In…
Dongxiao Quan, Chensong Liu, Xiaojie Lv, Changxing Pei + 1 more
Quantum error correction (QEC) is an effective way to overcome quantum noise and de-coherence, meanwhile the fault tolerance of the encoding circuit, syndrome measurement circuit, and logical gate realization circuit must be ensured so as to achieve reliable quantum computing. Steane code is one of the most famous…
Bálint Pató, Theerapat Tansuwannont, Kenneth R. Brown
A fault-tolerant error correction (FTEC) protocol with a high error suppression rate and low overhead is very desirable for the near-term implementation of quantum computers. In this work, we develop a distance-preserving flag FTEC protocol for the [[49, 1, 9]] concatenated Steane code, which requires only two ancilla…
Dawei Jiao, Mahdi Bayanifar, Alexei Ashikhmin, Olav Tirkkonen
We study the use of triorthogonal codes for universal fault-tolerant quantum computation and propose two methods to circumvent the Eastin-Knill theorem, which prohibits any single quantum error-correcting code from supporting both universality and a transversal gate set. We show that our methods reduce the resource…
Shilin Huang, Kenneth R. Brown, Marko Cetina
Quantum states decohere through interaction with the environment. Quantum error correction can preserve coherence through active feedback wherein quantum information is encoded into a logical state with a high degree of symmetry. Perturbations are detected by measuring the symmetries of the state and corrected by…
Lukas Postler, Friederike Butt, Ivan Pogorelov, Christian D. Marciniak + 6 more
'Christian D. Marciniak' 'Sascha Heußen' 'R. Blatt' 'Philipp Schindler' 'Manuel Rispler' 'Markus Müller' 'Thomas Monz'] Encoding information redundantly using quantum error-correcting (QEC) codes allows one to overcome the inherent sensitivity to noise in quantum computers to ultimately achieve large-scale quantum…
Rajeev Kohli
Genetic codes assign sixty-four codons to twenty amino acids. These assignments are known to follow certain rules. One question long considered but still unresolved is if these rules are derived from an underlying structure in genetic codes. Knowledge of such structure could facilitate better understanding of the…