Rate-adaptive reconciliation and its estimator for quantum bit error rate

Treeviriyanupab, Patcharapong; Phromsa-ard, Tharathorn; Zhang, Chun-Mei; Li, Mo; Sangwongngam, Paramin; Ayutaya, Tomeyot Sanevong Na; Songneam, Nattapong; Rattanatamma, Ronnagorn; Ingkavet, Chanvate; Sanor, Wasana; Chen, Wei; Han, Zheng‐Fu; Sripimanwat, Keattisak

doi:10.1109/iscit.2014.7011930

Cited by 8 publications

(15 citation statements)

References 16 publications

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“…Where the symbol and corresponds to matrix multiplication and summation operation in modulo 2 arithmetic. B should determines vector as it satisfies equation (7). Indeed along with decoding approaches aim to find the nearest codeword to the received one, B should determines vector with minimum weight.…”

Section: -Proposed Error Correction Approach Based On Ilp Modelmentioning

confidence: 99%

“…Thus, after transmitting the key via the quantum channel, A and B use the public channel to estimate the amount of Quantum Bit Error Rate (QBER) and correct errors in the key to establish symmetric key on both sides of the connection. To do this, A send a key, and then at the side B, 1-the key bits are sifted, then 2-B estimates errors in sifted key bits, QBER, using the error estimation approaches [6][7][8][9]. Comparing the estimated QBER with a determined threshold, B decides that the channel is affected by channel or device noises or the presence of Eve.…”

Section: -Introductionmentioning

confidence: 99%

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Error Reconciliation based on Integer Linear Programming in Quantum Key Distribution

Eskandari¹,

Mohammad²

2021

jist

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Quantum telecommunication has received a lot of attention today by providing unconditional security because of the inherent nature of quantum channels based on the no-cloning theorem. In this mode of communication, first, the key is sent through a quantum channel that is resistant to eavesdropping, and then secure communication is established using the exchanged key. Due to the inevitability of noise, the received key needs to be distilled. One of the vital steps in key distillation is named key reconciliation which corrects the occurred errors in the key. Different solutions have been presented for this issue, with different efficiency and success rate. One of the most notable works is LDPC decoding which has higher efficiency compared to the others, but unfortunately, this method does not work well in the codes with a high rate. In this paper, we present an approach to correct the errors in the high rate LDPC code-based reconciliation algorithm. The proposed algorithm utilizes Integer Linear Programming to model the error correction problem to an optimization problem and solve it. Testing the proposed approach through simulation, we show it has high efficiency in high rate LDPC codes as well as a higher success rate compared with the LDPC decoding method -belief propagationin a reasonable time.

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Section: -Proposed Error Correction Approach Based On Ilp Modelmentioning

confidence: 99%

Section: -Introductionmentioning

confidence: 99%

Error Reconciliation based on Integer Linear Programming in Quantum Key Distribution

Eskandari¹,

Mohammad²

2021

jist

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show abstract

“…According Ref. [16], for a regular LDPC code, that is a code with the parity-check matrix having the same numbers of unities in each row and each column, the bits of ∆s turn out to be i.i.d. Bernoulli random variables with the following probability being equal to one:…”

Section: Estimation Of the Qber Using Syndromesmentioning

confidence: 99%

“…A distinct approach has been considered in Ref. [16]. It is based on the use of syndromes of both parties to obtain on-the-fly estimation of the QBER for each block of the sifted key.…”

Section: Introductionmentioning

confidence: 99%

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Error Estimation at the Information Reconciliation Stage of Quantum Key Distribution

et al. 2018

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Quantum key distribution (QKD) offers a practical solution for secure communication between two distinct parties via a quantum channel and an authentic public channel. In this work, we consider different approaches to the quantum bit error rate (QBER) estimation at the information reconciliation stage of the post-processing procedure. For reconciliation schemes using LDPC codes we develop a novel syndrome-based QBER estimation algorithm. The suggested algorithm is suitable for irregular LDPC-codes, and takes into account punctured and shortened bits. With testing our approach in the real QKD setup, we show that an approach combining the proposed algorithm with conventional QBER estimation techniques allows improving accuracy of the QBER estimation.

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A self-adjusting quantum key renewal management scheme in classical network symmetric cryptography

Liu

Sun²,

Chen

2018

J Supercomput

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Rate-adaptive reconciliation and its estimator for quantum bit error rate

Cited by 8 publications

References 16 publications

Error Reconciliation based on Integer Linear Programming in Quantum Key Distribution

Error Reconciliation based on Integer Linear Programming in Quantum Key Distribution

Error Estimation at the Information Reconciliation Stage of Quantum Key Distribution

A self-adjusting quantum key renewal management scheme in classical network symmetric cryptography

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