13 papers · ranked by Valyu relevance
Hayato Goto
The seven-qubit quantum error-correcting code originally proposed by Steane is one of the best known quantum codes. The Steane code has a desirable property that most basic operations can be performed easily in a fault-tolerant manner. A major obstacle to fault-tolerant quantum computation with the Steane code is…
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, Ying Li
In the shallow sub-threshold regime, fault-tolerant quantum computation requires a tremendous amount of qubits. In this paper, we study the error correction in the deep sub-threshold regime. We estimate the physical error rate for achieving the logical error rates of 10−6 − 10−15 using few-qubit codes, i.e. short…
Panagiotis Botsinis, Zunaira Babar, Dimitrios Alanis, Daryus Chandra + 3 more
'Hung Nguyen' 'Soon Xin Ng' 'Lajos Hanzo'] When quantum computing becomes a wide-spread commercial reality, Quantum Search Algorithms (QSA) and especially Grover’s QSA will inevitably be one of their main applications, constituting their cornerstone. Most of the literature assumes that the quantum circuits are free…
Yongsoo Hwang, Byung-Soo Choi, Young‐Chai Ko, Jun Heo
We propose a scheme that converts a stabilizer code into another stabilizer code in a fault tolerant manner. The scheme first puts both codes in specific forms, and proceeds the conversion from a source code to a target code by applying Clifford gates. The Clifford gates are chosen from the comparisons between both…
Ben W. Reichardt
Steane's seven-qubit quantum code is a natural choice for fault-tolerance experiments because it is small and just two extra qubits are enough to correct errors. However, the two-qubit error-correction technique, known as "flagged" syndrome extraction, works slowly, measuring only one syndrome at a time. This is a…
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…
René Bødker Christensen, Olav Geil
In this paper, we study the construction of quantum codes by applying Steaneenlargement to codes from the Hermitian curve. We cover Steane-enlargement of both usual one-point Hermitian codes and of order bound improved Hermitian codes. In particular, the paper contains two constructions of quantum codes whose…
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…
Paweł Błażej, Dariusz R. Kowalski, Dorota Mackiewicz, Małgorzata Wnetrzak + 2 more
The standard genetic code (SGC) is the set of rules by which genetic information is translated into proteins, from codons, i.e. triplets of nucleotides, to amino acids. The questions about the origin and the main factor responsible for the present structure of the code are still under a hot debate. Various…
Miloje Rakočević
In some previous works (2018a,b; 2019, 2021a,b, 2022) we presented a new type of mirror symmetry, expressed in the set of protein amino acids; such a symmetry, that it simultaneously represents the semiotic essence of the genetic code. In this paper we provide new evidences that the genetic code represents the unity of…