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Quantum low-density parity-check codes are a promising candidate for fault-tolerant quantum computing with considerably reduced overhead compared to the surface code. However, the lack of a practical decoding algorithm remains a barrier to…

We consider the distribution of secret keys, both in a bipartite and a multipartite (conference) setting, via a quantum network and establish a framework to obtain bounds on the achievable rates. We show that any multipartite private…

量子物理 · 物理学 2021-11-01 Siddhartha Das , Stefan Bäuml , Marek Winczewski , Karol Horodecki

Quantum key distribution allows for the generation of a secret key between distant parties connected by a quantum channel such as optical fibre or free space. Unfortunately, the rate of generation of a secret key by direct transmission is…

Non-binary low-density parity-check (LDPC) codes have some advantages over their binary counterparts, but unfortunately their decoding complexity is a significant challenge. The iterative hard- and soft-reliability based majority-logic…

信息论 · 计算机科学 2015-06-22 Chenrong Xiong , Zhiyuan Yan

We consider the problem of successive-refinement coding for lossy compression of individual sequences, namely, compression in two stages, where in the first stage, a coarse description at a relatively low rate is sent from the encoder to…

信息论 · 计算机科学 2025-02-25 Neri Merhav

The work by Christandl, K\"onig and Renner [Phys. Rev. Lett. 102, 020504 (2009)] provides in particular the possibility of studying unconditional security in the finite-key regime for all discrete-variable protocols. We spell out this bound…

量子物理 · 物理学 2011-02-02 Lana Sheridan , Thinh Phuc Le , Valerio Scarani

We study the security of a specific authentication procedure of interest in the context of Quantum Key Distribution (QKD). It works as follows: use a secret but fixed Strongly Universal$_2$ (SU$_2$) hash function and encrypt the output tag…

量子物理 · 物理学 2011-09-26 Aysajan Abidin , Jan-Åke Larsson

We present a security analysis against collective attacks for the recently proposed time-energy entanglement-based quantum key distribution protocol, given the practical constraints of single photon detector efficiency, channel loss, and…

量子物理 · 物理学 2015-02-24 Catherine Lee , Jacob Mower , Zheshen Zhang , Jeffrey H. Shapiro , Dirk Englund

Low Rank Parity Check (LRPC) codes form a class of rank-metric error-correcting codes that was purposely introduced to design public-key encryption schemes. An LRPC code is defined from a parity check matrix whose entries belong to a…

信息论 · 计算机科学 2023-09-26 Étienne Burle , Ayoub Otmani

We investigate the performance of several continuous-variable quantum key distribution protocols in the presence of fading channels. These are lossy channels whose transmissivity changes according to a probability distribution. This is…

量子物理 · 物理学 2018-03-21 Panagiotis Papanastasiou , Christian Weedbrook , Stefano Pirandola

We investigate secret key rates for the quantum repeater using encoding [L. Jiang et al., Phys. Rev. A 79, 032325 (2009)] and compare them to the standard repeater scheme by Briegel, D\"ur, Cirac, and Zoller. The former scheme has the…

量子物理 · 物理学 2014-04-25 Sylvia Bratzik , Hermann Kampermann , Dagmar Bruß

This letter studies the power-limited throughput of a communication system utilizing incremental redundancy (INR) hybrid automatic repeat request (HARQ). We use some recent results on the achievable rates of finite-length codes to analyze…

信息论 · 计算机科学 2016-11-15 Behrooz Makki , Tommy Svensson , Michele Zorzi

Quantum key distribution establishes a secret string of bits between two distant parties. Of concern in weak laser pulse schemes is the especially strong photon number splitting attack by an eavesdropper, but the decoy state method can…

量子物理 · 物理学 2007-05-23 Jim W. Harrington , J. Mark Ettinger , Richard J. Hughes , Jane E. Nordholt

Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective we discuss a particular class of quantum codes called low-density parity-check (LDPC) quantum codes. The codes we discuss are…

量子物理 · 物理学 2021-10-26 Nikolas P. Breuckmann , Jens Niklas Eberhardt

We consider the effect of LLR saturation on belief propagation decoding of low-density parity-check codes. Saturation occurs universally in practice and is known to have a significant effect on error floor performance. Our focus is on…

信息论 · 计算机科学 2014-03-17 Shrinivas Kudekar , Tom Richardson , Aravind Iyengar

We consider a quantum key expansion (QKE) protocol based on entanglement-assisted quantum error-correcting codes (EAQECCs). In these protocols, a seed of a previously shared secret key is used in the post-processing stage of a standard…

量子物理 · 物理学 2013-06-26 Kung-Chuan Hsu , Todd A. Brun

This paper presents results on generalized public key cryptography with exponentials modulo primes and composite numbers where the mapping is not one-to-one and the uniqueness is achieved by additional side information. Such transformations…

密码学与安全 · 计算机科学 2013-04-18 Gunjan Talati , Subhash Kak

We show that successive cancellation list decoding can be formulated exclusively using log-likelihood ratios. In addition to numerical stability, the log-likelihood ratio based formulation has useful properties which simplify the sorting…

信息论 · 计算机科学 2016-02-15 Alexios Balatsoukas-Stimming , Mani Bastani Parizi , Andreas Burg

Privacy amplification (PA) is an essential post-processing step in quantum key distribution (QKD) for removing any information an eavesdropper may have on the final secret key. In this paper, we consider delaying PA of the final key after…

量子物理 · 物理学 2012-03-12 Chi-Hang Fred Fung , Xiongfeng Ma , H. F. Chau , Qing-yu Cai

Continuous-variable quantum key distribution utilizes an ensemble of coherent states of light to distribute secret encryption keys between two parties. One of the challenges is thereby the requirement of capacity approaching error…

信息论 · 计算机科学 2021-06-30 Hossein Mani , Tobias Gehring , Christoph Pacher , Ulrik Lund Andersen
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