Design of Raptor codes in the low SNR regime with applications in quantum key distribution

Shirvanimoghaddam, Mahyar; Johnson, Sarah J.; Lance, Andrew M.

doi:10.1109/icc.2016.7510800

Cited by 11 publications

(10 citation statements)

References 16 publications

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“…However, the impact of the reconciliation efficiency is in most circumstances the dominant effect in reducing the quantum key rates. State-of-the-art CV reconciliation efficiencies are close to values of 0.95 [37]. At these efficiencies, achievable squeezing levels will produce key rates of 10 −3 bits per pulse at mean fading loss of 25dB.…”

Section: Simulation Resultsmentioning

confidence: 88%

CV-QKD with Gaussian and Non-Gaussian Entangled States over Satellite-Based Channels

Hosseinidehaj

Malaney

2016

2016 IEEE Global Communications Conference (GLOBECOM)

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In this work we investigate the effectiveness of continuous-variable (CV) entangled states, transferred through high-loss atmospheric channels, as a means of viable quantum key distribution (QKD) between terrestrial stations and low-Earth orbit (LEO) satellites. In particular, we investigate the role played by the Gaussian CV states as compared to non-Gaussian states. We find that beam-wandering induced atmospheric losses lead to QKD performance levels that are in general quite different from those found in fixed-attenuation channels. For example, circumstances can be found where no QKD is viable at some fixed loss in fiber but is viable at the same mean loss in fading channels. We also find that, in some circumstances, the QKD relative performance of Gaussian and non-Gaussian states can in atmospheric channels be the reverse of that found in fixedattenuation channels. These findings show that the nature of the atmospheric channel can have a large impact on the QKD performance. Our results should prove useful for emerging global quantum communications that use LEO satellites as communication relays.

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Section: Simulation Resultsmentioning

confidence: 88%

CV-QKD with Gaussian and Non-Gaussian Entangled States over Satellite-Based Channels

Hosseinidehaj

Malaney

2016

2016 IEEE Global Communications Conference (GLOBECOM)

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“…Other error-correcting codes have also been studied for the low-SNR regime of CV-QKD, including polar codes, repeataccumulate codes, and Raptor codes. 31,68,69 However, at the time of writing, there are no hardware implementations of such codes for long-distance CV-QKD beyond 100 km. In addition to extending information theoretic security to general attacks for finite key sizes, 30,70-72 a major remaining hurdle to extending the distance in CV-QKD is reducing excess noise in the optical channel.…”

Section: Discussionmentioning

confidence: 99%

Quasi-cyclic multi-edge LDPC codes for long-distance quantum cryptography

et al. 2018

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The speed at which two remote parties can exchange secret keys in continuous-variable quantum key distribution (CV-QKD) is currently limited by the computational complexity of key reconciliation. Multi-dimensional reconciliation using multi-edge lowdensity parity-check (LDPC) codes with low code rates and long block lengths has been shown to improve error-correction performance and extend the maximum reconciliation distance. We introduce a quasi-cyclic code construction for multi-edge codes that is highly suitable for hardware-accelerated decoding on a graphics processing unit (GPU). When combined with an 8dimensional reconciliation scheme, our LDPC decoder achieves an information throughput of 7.16 Kbit/s on a single NVIDIA GeForce GTX 1080 GPU, at a maximum distance of 142 km with a secret key rate of 6.64 × 10 −8 bits/pulse for a rate 0.02 code with block length of 10 6 bits. The LDPC codes presented in this work can be used to extend the previous maximum CV-QKD distance of 100 km to 142 km, while delivering up to 3.50× higher information throughput over the tight upper bound on secret key rate for a lossy channel.

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“…Raptor codes were studied for AWGN channels in [27], where a systematic framework was proposed to find the optimal degree distribution across a range of SNRs. The design of very low rate Raptor codes was studied in [28]. Using Raptor codes, a potentially limitless number of coded symbols can be generated, allowing the receiver to decode the message once a sufficient number of parity bits have been received; thus always decoding to a valid codeword.…”

Section: Operating At Low Word Error Ratesmentioning

confidence: 99%

“…We consider two Raptor codes in this paper. The first code, from [28] Figure B1. WER versus SNR for the considered ME-LDPC codes from left to right are the ME-LDPC codes with rates 0.005, 0.01, 0.02, 0.05, 0.1.…”

Section: Appendix Cmentioning

confidence: 99%

See 1 more Smart Citation

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

Johnson¹,

Lance²,

Ong³

et al. 2017

New J. Phys.

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The maximum operational range of continuous variable quantum key distribution protocols has shown to be improved by employing high-efficiency forward error correction codes. Typically, the secret key rate model for such protocols is modified to account for the non-zero word error rate of such codes. In this paper, we demonstrate that this model is incorrect: firstly, we show by example that fixed-rate error correction codes, as currently defined, can exhibit efficiencies greater than unity. Secondly, we show that using this secret key model combined with greater than unity efficiency codes, implies that it is possible to achieve a positive secret key over an entanglement breaking channel-an impossible scenario. We then consider the secret key model from a post-selection perspective, and examine the implications for key rate if we constrain the forward error correction codes to operate at low word error rates.

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Design of Raptor codes in the low SNR regime with applications in quantum key distribution

Cited by 11 publications

References 16 publications

CV-QKD with Gaussian and Non-Gaussian Entangled States over Satellite-Based Channels

CV-QKD with Gaussian and Non-Gaussian Entangled States over Satellite-Based Channels

Quasi-cyclic multi-edge LDPC codes for long-distance quantum cryptography

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

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