scholarly journals Continuous-Variable Error Correction for General Gaussian Noises

2021 ◽  
Vol 15 (3) ◽  
Author(s):  
Jing Wu ◽  
Quntao Zhuang
Keyword(s):  
Error Correction ◽  
Continuous Variable ◽  
Variable Error

scholarly journals Distributed quantum sensing enhanced by continuous-variable error correction

2020 ◽  
Vol 22 (2) ◽  
pp. 022001 ◽  
Author(s):  
Quntao Zhuang ◽  
John Preskill ◽  
Liang Jiang
Keyword(s):  
Error Correction ◽  
Continuous Variable ◽  
Variable Error ◽  
Quantum Sensing

scholarly journals A novel error correction protocol for continuous variable quantum key distribution

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Kadir Gümüş ◽  
Tobias A. Eriksson ◽  
Masahiro Takeoka ◽  
Mikio Fujiwara ◽  
Masahide Sasaki ◽  
...  
Keyword(s):  
Error Correction ◽  
Quantum Key Distribution ◽  
Ldpc Codes ◽  
Key Distribution ◽  
Continuous Variable ◽  
Early Termination ◽  
Parity Check ◽  
Secret Key ◽  
Ldpc Decoder ◽  
And Performance

AbstractReconciliation is a key element of continuous-variable quantum key distribution (CV-QKD) protocols, affecting both the complexity and performance of the entire system. During the reconciliation protocol, error correction is typically performed using low-density parity-check (LDPC) codes with a single decoding attempt. In this paper, we propose a modification to a conventional reconciliation protocol used in four-state protocol CV-QKD systems called the multiple decoding attempts (MDA) protocol. MDA uses multiple decoding attempts with LDPC codes, each attempt having fewer decoding iteration than the conventional protocol. Between each decoding attempt we propose to reveal information bits, which effectively lowers the code rate. MDA is shown to outperform the conventional protocol in regards to the secret key rate (SKR). A 10% decrease in frame error rate and an 8.5% increase in SKR are reported in this paper. A simple early termination for the LDPC decoder is also proposed and implemented. With early termination, MDA has decoding complexity similar to the conventional protocol while having an improved SKR.

Quantization of high dimensional Gaussian vector using permutation modulation with application to information reconciliation in continuous variable QKD

2017 ◽  
Vol 15 (08) ◽  
pp. 1740028 ◽  
Author(s):  
Fred Daneshgaran ◽  
Marina Mondin ◽  
Khashayar Olia
Keyword(s):  
Error Correction ◽  
Error Probability ◽  
Forward Error Correction ◽  
Continuous Variable ◽  
Unequal Error Protection ◽  
Secret Key ◽  
Information Reconciliation ◽  
Low Snr ◽  
Similar Sign ◽  
Sign Error

This paper is focused on the problem of Information Reconciliation (IR) for continuous variable Quantum Key Distribution (QKD). The main problem is quantization and assignment of labels to the samples of the Gaussian variables observed at Alice and Bob. Trouble is that most of the samples, assuming that the Gaussian variable is zero mean which is de-facto the case, tend to have small magnitudes and are easily disturbed by noise. Transmission over longer and longer distances increases the losses corresponding to a lower effective Signal-to-Noise Ratio (SNR) exasperating the problem. Quantization over higher dimensions is advantageous since it allows for fractional bit per sample accuracy which may be needed at very low SNR conditions whereby the achievable secret key rate is significantly less than one bit per sample. In this paper, we propose to use Permutation Modulation (PM) for quantization of Gaussian vectors potentially containing thousands of samples. PM is applied to the magnitudes of the Gaussian samples and we explore the dependence of the sign error probability on the magnitude of the samples. At very low SNR, we may transmit the entire label of the PM code from Bob to Alice in Reverse Reconciliation (RR) over public channel. The side information extracted from this label can then be used by Alice to characterize the sign error probability of her individual samples. Forward Error Correction (FEC) coding can be used by Bob on each subset of samples with similar sign error probability to aid Alice in error correction. This can be done for different subsets of samples with similar sign error probabilities leading to an Unequal Error Protection (UEP) coding paradigm.

scholarly journals On the problem of non-zero word error rates for fixed-rate error correction codes in continuous variable quantum key distribution

2017 ◽  
Vol 19 (2) ◽  
pp. 023003 ◽  
Author(s):  
Sarah J Johnson ◽  
Andrew M Lance ◽  
Lawrence Ong ◽  
Mahyar Shirvanimoghaddam ◽  
T C Ralph ◽  
...  
Keyword(s):  
Error Correction ◽  
Quantum Key Distribution ◽  
Key Distribution ◽  
Continuous Variable ◽  
Error Rates ◽  
Error Correction Codes ◽  
Fixed Rate

scholarly journals Five-wave-packet quantum error correction based on continuous-variable cluster entanglement

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Shuhong Hao ◽  
Xiaolong Su ◽  
Caixing Tian ◽  
Changde Xie ◽  
Kunchi Peng
Keyword(s):  
Wave Packet ◽  
Error Correction ◽  
Continuous Variable ◽  
Quantum Error Correction ◽  
Variable Cluster ◽  
Quantum Error

Quantum computation and error correction based on continuous variable cluster states

2021 ◽  
Author(s):  
Shuhong Hao ◽  
Xiaowei Deng ◽  
Yang Liu ◽  
Xiaolong Su ◽  
Changde Xie ◽  
...  
Keyword(s):  
Error Correction ◽  
Quantum Computation ◽  
Continuous Variable ◽  
Cluster States ◽  
Variable Cluster
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