Quantum error correction

GG La Guardia - Quantum science and technology. Cham: Springer, 2020 - Springer
Theory of quantum information and computation has been extensively investigated in the
last two decades (see the textbook [121] by Nielsen and Chuang and the references [25, 53 …

[HTML][HTML] On optimal constacyclic codes

GG La Guardia - Linear Algebra and Its Applications, 2016 - Elsevier
In this paper we construct new families of maximum-distance-separable (MDS)
convolutional codes derived from classical constacyclic codes. Additionally, we also …

New optimal asymmetric quantum codes and quantum convolutional codes derived from constacyclic codes

J Chen, Y Chen, Y Huang, C Feng - Quantum Information Processing, 2019 - Springer
In this paper, some families of asymmetric quantum codes and quantum convolutional codes
that satisfy the quantum Singleton bound are constructed by utilizing constacyclic codes with …

[HTML][HTML] On negacyclic MDS-convolutional codes

GG La Guardia - Linear Algebra and its Applications, 2014 - Elsevier
New families of classical and quantum optimal negacyclic convolutional codes are
constructed in this paper. This optimality is in the sense that they attain the classical …

On classical and quantum MDS-convolutional BCH codes

GG La Guardia - IEEE transactions on information theory, 2013 - ieeexplore.ieee.org
Several new families of multi-memory classical convolutional Bose-Chaudhuri-
Hocquenghem codes as well as families of unit-memory quantum convolutional codes are …

Minimal-memory, noncatastrophic, polynomial-depth quantum convolutional encoders

M Houshmand, S Hosseini-Khayat… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Quantum convolutional coding is a technique for encoding a stream of quantum information
before transmitting it over a noisy quantum channel. Two important goals in the design of …

Quantum coding with entanglement

MMM Wilde - 2008 - search.proquest.com
Quantum error-correcting codes will be the ultimate enabler of a future quantum computing
or quantum communication device. This theory forms the cornerstone of practical quantum …

Quantum-shift-register circuits

MM Wilde - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
A quantum-shift-register circuit acts on a set of input qubits and memory qubits, outputs a set
of output qubits and updated memory qubits, and feeds the memory back into the device for …

[HTML][HTML] Some families of asymmetric quantum codes and quantum convolutional codes from constacyclic codes

J Chen, J Li, Y Huang, J Lin - Linear Algebra and its Applications, 2015 - Elsevier
Quantum maximal-distance-separable (MDS) codes are an important class of quantum
codes. Recently, many scholars utilize constacyclic codes to construct some quantum MDS …

[BOOK][B] Quantum error control codes

SAAA Ahmed - 2008 - search.proquest.com
It is conjectured that quantum computers are able to solve certain problems more quickly
than any deterministic or probabilistic computer. For instance, Shor's algorithm is able to …