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High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced…

Quantum Physics · Physics 2025-01-31 Laura Pecorari , Sven Jandura , Gavin K. Brennen , Guido Pupillo

Quantum computers hold the promise of solving computational problems which are intractable using conventional methods. For fault-tolerant operation quantum computers must correct errors occurring due to unavoidable decoherence and limited…

Quantum Key Distribution (QKD) schemes are key exchange protocols based on the physical properties of quantum channels. They avoid the computational-hardness assumptions that underlie the security of classical key exchange.…

Quantum Physics · Physics 2025-12-19 Arpan Akash Ray , Boris Skoric

We present an encoded hybrid quantum repeater scheme using qubit-repetition and Calderbank-Shor-Steane codes. For the case of repetition codes, we propose an explicit implementation of the quantum error-correction protocol. Moreover, we…

Quantum Physics · Physics 2015-03-19 Nadja K. Bernardes , Peter van Loock

We focus Slepian-Wolf (SW) coding in the short blocklength for reconciliation in secret key generation and physical unclonable functions. In the problem formulation, two legitimate parties wish to generate a common secret key from a noisy…

Signal Processing · Electrical Eng. & Systems 2021-03-23 Mahdi Shakiba-Herfeh , Arsenia Chorti

Information Reconciliation is a critical component of Quantum Key Distribution, ensuring that mismatches between Alice's and Bob's keys are corrected. In this study, we analyze, simulate, optimize, and compare the performance of two…

Information reconciliation(IR) is a basic step of quantum key distribution (QKD). Classical message interaction is necessary in a practical IR scheme, and the communication complexity has become a bottleneck of QKD's development. Here we…

Quantum Physics · Physics 2012-05-15 Li Yang , Zhao Li

Quantum error correction (QEC) is an essential step towards realising scalable quantum computers. Theoretically, it is possible to achieve arbitrarily long protection of quantum information from corruption due to decoherence or imperfect…

Forward Error Correction (FEC) is used ubiquitously in the communication pipeline. We explore noncooperative decoding where we aim to recover the code rate of a linear block code. We present a metric to characterize the quality of the code…

Information Theory · Computer Science 2026-03-03 Atreya Vedantam , Radha Krishna Ganti

We propose a new Quantum Key Recycling (QKR) protocol, which can tolerate the noise in the quantum channel. Our QKR protocol recycles the used keys according to the error rate. The key recycling rate of the pre-shared keys in our QKR…

Quantum Physics · Physics 2020-06-15 Yu-Chin Lu , Chia-Wei Tsai , Tzonelih Hwang

This work compares the overhead of quantum error correction with concatenated and topological quantum error-correcting codes. To perform a numerical analysis, we use the Quantum Resource Estimator Toolbox (QuRE) that we recently developed.…

We introduce new quantum key distribution protocols using quantum continuous variables, that are secure against individual attacks for any transmission of the optical line between Alice and Bob. In particular, it is not required that this…

Quantum Physics · Physics 2016-09-08 Frédéric Grosshans , Philippe Grangier

The article discusses a key reconciliation protocol for quantum key distribution (QKD) systems based on Tree Parity Machines (TPM). The idea of transforming key material into neural network weights is presented. Two experiments were…

Quantum Physics · Physics 2025-12-16 Matvey Yorkhov , Vladimir Faerman , Anton Konev

In this paper, we propose a novel message-passing decoding approach that leverages the degeneracy of quantum low-density parity-check codes to enhance decoding performance, eliminating the need for serial scheduling or post-processing. Our…

Quantum Physics · Physics 2025-01-10 Dimitris Chytas , Nithin Raveendran , Bane Vasic

Quantum repeater is the key technology enabler for long-distance quantum communication. To date, most of the existing quantum repeater protocols are designed based on specific quantum codes or graph states. In this paper, we propose a…

Quantum Physics · Physics 2022-10-20 Daoheng Niu , Yuxuan Zhang , Alireza Shabani , Hassan Shapourian

Much progress has been made on decoding algorithms for error-correcting codes in the last decade. In this article, we give an introduction to some fundamental results on iterative, message-passing algorithms for low-density parity check…

Information Theory · Computer Science 2007-07-16 Venkatesan Guruswami

Quantum error correcting codes have been developed to protect a quantum computer from decoherence due to a noisy environment. In this paper, we present two methods for optimizing the physical implementation of such error correction schemes.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Guido Burkard , Daniel Loss , David P. DiVincenzo , John A. Smolin

Quantum stabilizer codes (QSCs) suffer from a low quantum coding rate, since they have to recover the quantum bits (qubits) in the face of both bit-flip and phase-flip errors. In this treatise, we conceive a low-complexity concatenated…

Quantum Physics · Physics 2020-10-20 Daryus Chandra , Zunaira Babar , Soon Xin Ng , Lajos Hanzo

Key reconciliation of quantum key distribution (QKD) is the process of correcting errors caused by channel noise and eavesdropper to identify the keys of two legitimate users. Reconciliation efficiency is the most important figure for…

Quantum Physics · Physics 2020-08-12 Chaohui Gao , Yu Guo , Dong Jiang , Lijun Chen

The continuous variable quantum key distribution is expected to provide high secret key rate without single photon source and detector, but the lack of the secure and effective key distillation method makes it unpractical. Here, we present…

Quantum Physics · Physics 2007-05-23 Yi-bo Zhao , Zheng-fu Han , Jin-jian Chen , You-zhen Gui , Guang-can Guo
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