Tutorial on quantum error correction for 2024 quantum information knowledge (quik) workshop
PJ Nadkarni, N Rengaswamy, B Vasić - ar**, and Goursat's Lemma
The CSS code construction is a powerful framework used to express features of a quantum
code in terms of a pair of underlying classical codes. Its subsystem extension allows for …
code in terms of a pair of underlying classical codes. Its subsystem extension allows for …
Entanglement-assisted and subsystem quantum codes: New propagation rules and constructions
This paper proposes new propagation rules on quantum codes in the entanglement-
assisted and in quantum subsystem scenarios. The rules lead to new families of such …
assisted and in quantum subsystem scenarios. The rules lead to new families of such …
New MDS operator quantum error-correcting codes derived from constacyclic codes over
Y Zhang, Y Liu, X Hou, J Gao - Quantum Information Processing, 2023 - Springer
Operator quantum error-correcting codes (OQECCs), also known as subsystem codes, can
effectively protect quantum information from interference by encoding quantum information …
effectively protect quantum information from interference by encoding quantum information …
Synchronizable hybrid subsystem codes
Quantum synchronizable codes are quantum error correcting codes that can correct not only
Pauli errors but also errors in block synchronization. The code can be constructed from two …
Pauli errors but also errors in block synchronization. The code can be constructed from two …
Clifford code constructions of operator quantum error-correcting codes
Recently, operator quantum error-correcting codes have been proposed to unify and
generalize decoherence free subspaces, noiseless subsystems, and quantum error …
generalize decoherence free subspaces, noiseless subsystems, and quantum error …
SDP bounds on quantum codes
This paper provides a semidefinite programming hierarchy based on state polynomial
optimization to determine the existence of quantum codes with given parameters. The …
optimization to determine the existence of quantum codes with given parameters. The …
Asymmetric quantum BCH codes
SA Aly - … International Conference on Computer Engineering & …, 2008 - ieeexplore.ieee.org
Recently, the theory of quantum error control codes has been extended to include quantum
codes over asymmetric quantum channels-qubit-flip and phase-shift errors may have equal …
codes over asymmetric quantum channels-qubit-flip and phase-shift errors may have equal …
A class of quantum LDPC codes constructed from finite geometries
SA Aly - IEEE GLOBECOM 2008-2008 IEEE Global …, 2008 - ieeexplore.ieee.org
Low-density parity check (LDPC) codes are a significant class of classical codes with many
applications. Several good LDPC codes have been constructed using random, algebraic …
applications. Several good LDPC codes have been constructed using random, algebraic …