Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength

JP Tillich, G Zémor - IEEE Transactions on Information Theory, 2013 - ieeexplore.ieee.org
The current best asymptotic lower bound on the minimum distance of quantum LDPC codes
with a fixed non-zero rate is logarithmic in the blocklength. We propose a construction of …

Quantum variational learning for quantum error-correcting codes

C Cao, C Zhang, Z Wu, M Grassl, B Zeng - Quantum, 2022 - quantum-journal.org
Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum
computation. In the past two decades, various constructions of quantum error-correcting …

Asymmetric quantum codes: constructions, bounds and performance

PK Sarvepalli, A Klappenecker… - Proceedings of the …, 2009 - royalsocietypublishing.org
Recently, quantum error-correcting codes have been proposed that capitalize on the fact
that many physical error models lead to a significant asymmetry between the probabilities for …

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 …

Quantum error-correcting codes for qudit amplitude dam**

M Grassl, L Kong, Z Wei, ZQ Yin… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Traditional quantum error-correcting codes are designed for the depolarizing channel
modeled by generalized Pauli errors occurring with equal probability. Amplitude dam** …

Asymmetric quantum codes: characterization and constructions

L Wang, K Feng, S Ling, C **ng - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
The stabilizer method for constructing a class of asymmetric quantum codes (AQC), called
additive AQC, has been established by Aly et. al. In this paper, we present a new …

Novel encoding method for quantum error correction

M Swathi, B Rudra - 2022 IEEE 12th Annual Computing and …, 2022 - ieeexplore.ieee.org
Quantum error correction plays a vital role in the Quantum information process. Nowadays,
the research has been increased in quantum technology and is being applied in various …

Asymmetric quantum reed-solomon and generalized reed-solomon codes

GG La Guardia - Quantum Information Processing, 2012 - Springer
Two new families of asymmetric quantum codes are constructed in this paper. The first one
is derived from the Calderbank-Shor-Steane (CSS) construction applied to classical Reed …

Quantum stabilizer codes embedding qubits into qudits

C Cafaro, F Maiolini, S Mancini - Physical Review A—Atomic, Molecular, and …, 2012 - APS
We study, by means of the stabilizer formalism, a quantum error correcting code which is
alternative to the standard block codes since it embeds a qubit into a qudit. The code …

Experimental analysis of a quantum encoder in various quantum systems

M Swathi, B Rudra - 2022 IEEE 13th Annual Ubiquitous …, 2022 - ieeexplore.ieee.org
Quantum computer performs operations by adopting the principles of quantum physics and
quantum mechanics. With these principles, it performs operations exponentially faster …