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Entanglement distillation is the process of converting noisy entangled states into maximally entangled pure states via local operations and classical communication. A long-standing, unresolved question is which entangled states are amenable…

Quantum Physics · Physics 2026-04-28 Tobias C. Sutter , Christopher Popp , Beatrix C. Hiesmayr

Distributed architecture is a promising route to scaling fault-tolerant quantum computing (FTQC) beyond the inherent limitations of single processors. For practical implementation of distributed FTQC, logical Bell pair preparation must be…

Quantum Physics · Physics 2026-05-05 Shinichi Sunami , Yutaka Hirano , Toshihide Hinokuma , Hayata Yamasaki

We propose a realistic protocol to generate entanglement between quantum memories at neighboring nodes in hybrid quantum repeaters. Generated entanglement includes only one type of error, which enables efficient entanglement distillation.…

We investigate quantum repeaters in the context of quantum key distribution. We optimize the secret key rate per memory per second with respect to different distillation protocols and distillation strategies. For this purpose, we also…

Quantum Physics · Physics 2013-06-27 Sylvia Bratzik , Silvestre Abruzzo , Hermann Kampermann , Dagmar Bruß

We investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities…

Quantum Physics · Physics 2019-02-22 Stefan Krastanov , Victor V. Albert , Liang Jiang

Information reconciliation is a crucial procedure in the classical post-processing of quantum key distribution (QKD). Poor reconciliation efficiency, revealing more information than strictly needed, may compromise the maximum attainable…

Quantum Physics · Physics 2013-01-30 Jesus Martinez-Mateo , David Elkouss , Vicente Martin

In this study, an optimization model for offline scheduling policy of low-density parity-check (LDPC) codes is proposed to improve the decoding efficiency of the belief propagation (BP). The optimization model uses the number of messages…

Information Theory · Computer Science 2024-08-07 Dongxu Chang , Zhiming Ma , Guanghui Wang , Guiying Yan , Dawei Yin

Entanglement distillation is a key component of modular quantum computing and long-range quantum communications. However, this powerful tool to reduce noise in entangled states is difficult to realize in practice for two main reasons.…

Quantum Physics · Physics 2025-10-22 Vikesh Siddhu , Erick Winston , David C. McKay , Ali Javadi-Abhari

We propose a scheme of multipartite entanglement distillation driven by a complementary pair of stabilizer measurements, to distill directly a wider range of states beyond the stabilizer code states (such as the Greenberger-Horne-Zeilinger…

Quantum Physics · Physics 2007-05-23 Akimasa Miyake , Hans J. Briegel

Entanglement purification is a powerful method to distill the high-quality entanglement from low-quality entanglement. In the paper, we propose an efficient two-step entanglement purification protocol (EPP) for the polarization entanglement…

Quantum Physics · Physics 2021-01-28 Lan Zhou , Yu-Bo Sheng

In this dissertation, I present a general method for studying quantum error correction codes (QECCs). This method not only provides us an intuitive way of understanding QECCs, but also leads to several extensions of standard QECCs,…

Quantum Physics · Physics 2008-07-15 Min-Hsiu Hsieh

We study the decoding problem for quantum Tanner codes and propose to exploit the underlying local code structure by grouping check nodes into more powerful generalized check nodes for enhanced iterative belief propagation (BP) decoding by…

Quantum Physics · Physics 2026-03-06 Olai Å. Mostad , Eirik Rosnes , Hsuan-Yin Lin

We devise and examine two procrustean entanglement concentration schemes using Quantum Non- Demolition (QND) interaction Hamiltonians in the continuous variable regime, applicable for light, for atomic ensembles or in a hybrid setting. We…

Quantum Physics · Physics 2011-11-22 Richard Tatham , Natalia Korolkova

We introduce entanglement purification protocols for d-level systems (qudits) with improved efficiency as compared to previous protocols. While we focus on protocols for bipartite systems, we also propose generalizations to multi-partite…

Quantum Physics · Physics 2018-10-17 Jorge Miguel-Ramiro , Wolfgang Dür

We construct several explicit instances of quantum Tanner codes, a class of asymptotically good quantum low-density parity check (qLDPC) codes. The codes are constructed using dihedral groups and random pairs of classical codes and exhibit…

Quantum Physics · Physics 2025-11-17 Rebecca Katharina Radebold , Stephen D. Bartlett , Andrew C. Doherty

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…

Quantum repeater networks have attracted attention for the implementation of long-distance and large-scale sharing of quantum states. Recently, researchers extended classical network coding, which is a technique for throughput enhancement,…

Quantum Physics · Physics 2016-03-09 Takahiko Satoh , Kaori Ishizaki , Shota Nagayama , Rodney Van Meter

Entanglement distillation, an essential quantum information processing task, refers to the conversion from multiple copies of noisy entangled states to a smaller number of highly entangled states. In this work, we study the non-asymptotic…

Quantum Physics · Physics 2019-10-03 Kun Fang , Xin Wang , Marco Tomamichel , Runyao Duan

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Yang Yu , Wen Chen , Lili Wei

A low-density parity-check (LDPC) code is a linear block code described by a sparse parity-check matrix, which can be efficiently represented by a bipartite Tanner graph. The standard iterative decoding algorithm, known as belief…

Information Theory · Computer Science 2016-05-17 Sachini Jayasooriya , Sarah J. Johnson , Lawrence Ong , Regina Berretta