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Quantum burst error correction codes (QBECCs) are of great importance to deal with the memory effect in quantum channels. As the most important family of QBECCs, quantum cyclic codes (QCCs) play a vital role in the correction of burst…

Quantum Physics · Physics 2026-02-03 Jihao Fan , Min-Hsiu Hsieh

We study the feasibility of meaningful proof-of-principle demonstrations of several quantum repeater protocols with photon (single-photon and photon-pair) sources and atomic-ensemble based quantum memories. We take into account non-unit…

Quantum Physics · Physics 2020-04-08 Yufeng Wu , Jianlong Liu , Christoph Simon

Recent work have shown that Reed-Muller (RM) codes achieve the erasure channel capacity. However, this performance is obtained with maximum-likelihood decoding which can be costly for practical applications. In this paper, we propose an…

Information Theory · Computer Science 2016-01-27 Alexandre Soro , Jerome Lacan , Vincent Roca , Valentin Savin , Mathieu Cunche

Advanced quantum networking systems rely on efficient quantum error correction codes for their optimal realization. The rate at which the encoded information is transmitted is a fundamental limit that affects the performance of such…

Quantum Physics · Physics 2024-04-05 Nicolò Lo Piparo , William J. Munro , Kae Nemoto

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

Quantum communication enables a host of applications that cannot be achieved by classical communication means, with provably secure communication as one of the prime examples. The distance that quantum communication schemes can cover via…

Quantum Physics · Physics 2020-05-12 Sebastiaan Brand , Tim Coopmans , David Elkouss

Long quantum codes using projective Reed-Muller codes are constructed. Projective Reed-Muller codes are evaluation codes obtained by evaluating homogeneous polynomials at the projective space. We obtain asymmetric and symmetric quantum…

Information Theory · Computer Science 2025-03-03 Diego Ruano , Rodrigo San-José

Quantum repeaters hold the promise to prevent the photon losses in communication channels. Most recently, the serious efforts have been applied to achieve scalable distribution of entanglement over long distances. However, the probabilistic…

Quantum Physics · Physics 2011-10-13 D. Aghamalyan , Yu. Malakyan

As quantum computing technology advances, the complexity of quantum algorithms increases, necessitating a shift from low-level circuit descriptions to high-level programming paradigms. This paper addresses the challenges of developing a…

Quantum Physics · Physics 2025-03-04 Israel Reichental , Ravid Alon , Lior Preminger , Matan Vax , Amir Naveh

Quantum communication is at the forefront of quantum technology, enabling the development of absolutely secure encryption, distributed quantum computing, teleportation and more. Whilst quantum communication has been experimentally…

Quantum Physics · Physics 2017-05-24 Scott E. Vinay , Pieter Kok

We analyze how the performance of a quantum-repeater network depends on the protocol employed to distribute entanglement, and we find that the choice of repeater-to-repeater link protocol has a profound impact on communication rate as a…

Quantum Physics · Physics 2016-08-24 Cody Jones , Danny Kim , Matthew T. Rakher , Paul G. Kwiat , Thaddeus D. Ladd

Conventional wisdom suggests that realistic quantum repeaters will require quasi-deterministic sources of entangled photon pairs. In contrast, we here study a quantum repeater architecture that uses simple parametric down-conversion…

Quantum Physics · Physics 2016-05-24 Hari Krovi , Saikat Guha , Zachary Dutton , Joshua A. Slater , Christoph Simon , Wolfgang Tittel

We analyze an entanglement-based quantum key distribution (QKD) architecture that uses a linear chain of quantum repeaters employing photon-pair sources, spectral-multiplexing, linear-optic Bell-state measurements, multi-mode quantum…

We propose a scalable and robust architecture for one-way quantum computation using coupled networks of superconducting transmission line resonators. In our protocol, quantum information is encoded into the long-lived photon states of the…

Quantum Physics · Physics 2015-06-03 Chun-Wang Wu , Ming Gao , Hong-Yi Li , Zhi-Jiao Deng , Hong-Yi Dai , Ping-Xing Chen , Cheng-Zu Li

Random access codes (RACs) are used by a party to despite limited communication access an arbitrary subset of information held by another party. Quantum resources are known to enable RACs that break classical limitations. Here, we study…

Quantum Physics · Physics 2015-06-11 Armin Tavakoli , Alley Hameedi , Breno Marques , Mohamed Bourennane

We propose a post-selection technique, based on quantum error detection, for quantum key distribution (QKD) systems that run over quantum repeaters with encoding. In such repeaters, quantum error correction techniques are used for…

Quantum Physics · Physics 2021-01-04 Yumang Jing , Daniel Alsina Leal , Mohsen Razavi

Continuous-variable (CV) codes and their application in quantum communication have attracted increasing attention. In particular, one typical CV codes, cat-codes, has already been experimentally created using trapped atoms in cavities with…

Quantum Physics · Physics 2025-07-08 Pei-Zhe Li , William J. Munro , Kae Nemoto , Nicoló Lo Piparo

A potential quantum internet would open up the possibility of realizing numerous new applications, including provably secure communication. Since losses of photons limit long-distance, direct quantum communication and widespread quantum…

Quantum Physics · Physics 2019-12-18 Daniel Miller , Timo Holz , Hermann Kampermann , Dagmar Bruß

We investigate the influence of memory errors in the quantum repeater scheme for long-range quantum communication. We show that the communication distance is limited in standard operation mode due to memory errors resulting from unavoidable…

Quantum Physics · Physics 2007-05-23 L. Hartmann , B. Kraus , H. -J. Briegel , W. Dür

In quantum coding theory, stabilizer codes are probably the most important class of quantum codes. They are regarded as the quantum analogue of the classical linear codes and the properties of stabilizer codes have been carefully studied in…

Quantum Physics · Physics 2012-02-28 Ching-Yi Lai , Chung-Chin Lu