Entanglement-assisted quantum turbo codes

MM Wilde, MH Hsieh, Z Babar - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
An unexpected breakdown in the existing theory of quantum serial turbo coding is that a
quantum convolutional encoder cannot simultaneously be recursive and non-catastrophic …

Entanglement-assisted quantum error-correcting codes with imperfect ebits

CY Lai, TA Brun - Physical Review A—Atomic, Molecular, and Optical …, 2012 - APS
The scheme of entanglement-assisted quantum error-correcting (EAQEC) codes assumes
that the ebits of the receiver are error free. In practical situations, errors on these ebits are …

Entanglement boosts quantum turbo codes

MM Wilde, MH Hsieh - 2011 IEEE international symposium on …, 2011 - ieeexplore.ieee.org
One of the unexpected breakdowns in the existing theory of quantum serial turbo coding is
that a quantum convolutional encoder cannot simultaneously be recursive and non …

Quantum secret sharing with continuous variable graph state

Y Wu, R Cai, G He, J Zhang - Quantum information processing, 2014 - Springer
In this paper, we study several physically feasible quantum secret sharing (QSS) schemes
using continuous variable graph state (CVGS). Their implementation protocols are given …

Entanglement-assisted quantum codes achieving the quantum Singleton bound but violating the quantum Hamming bound

R Li, L Guo, Z Xu - Quantum Information & Computation, 2014 - dl.acm.org
We give an infinite family of degenerate entanglement-assisted quantum error-correcting
codes (EAQECCs) which violate the EA-quantum Hamming bound for nondegenerate …

High-rate quantum low-density parity-check codes assisted by reliable qubits

Y Fujiwara, A Gruner… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Quantum error correction is an important building block for reliable quantum information
processing. A challenging hurdle in the theory of quantum error correction is that it is …

Quantum error correction via less noisy qubits

Y Fujiwara - Physical Review Letters, 2013 - APS
Known quantum error correction schemes are typically able to take advantage of only a
limited class of classical error-correcting codes. Entanglement-assisted quantum error …

Breeding quantum error-correcting codes

Y Dong, D Hu, S Yu - Physical Review A—Atomic, Molecular, and Optical …, 2010 - APS
The stabilizer code, one major family of quantum error-correcting codes (QECC), is specified
by the joint eigenspace of a commuting set of Pauli observables. It turns out that …

Novel class of entanglement-assisted quantum codes with minimal ebits

C Dong, S Yaoliang - Journal of communications and networks, 2013 - ieeexplore.ieee.org
Quantum low-density parity-check (LDPC) codes based on the Calderbank-Shor-Steane
construction have low encoding and decoding complexity. The sum-product algorithm (SPA) …

Quantum error correction assisted by two-way noisy communication

Z Wang, S Yu, H Fan, CH Oh - Scientific Reports, 2014 - nature.com
Pre-shared non-local entanglement dramatically simplifies and improves the performance of
quantum error correction via entanglement-assisted quantum error-correcting codes …