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Using the Calderbank-Shor-Steane (CSS) construction, pure $q$-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable…

Information Theory · Computer Science 2016-04-18 Martianus Frederic Ezerman , Somphong Jitman , Han Mao Kiah , San Ling

A method for concatenating quantum error-correcting codes is presented. The method is applicable to a wide class of quantum error-correcting codes known as Calderbank-Shor-Steane (CSS) codes. As a result, codes that achieve a high rate in…

Quantum Physics · Physics 2016-11-17 Mitsuru Hamada

Quantum secret sharing (QSS) enables secure distribution of information among multiple parties but remains vulnerable to noise. We analyze the effects of bit-flip, phase-flip, and amplitude damping noise on the multiparty QSS for classical…

Quantum Physics · Physics 2025-04-24 Nirupam Basak , Goutam Paul

In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In order to do this, we show the existence of (classical)…

Quantum Physics · Physics 2017-05-24 Giuliano G. La Guardia

Superconducting microwave quantum networks is a rapidly developing field, enabling distributed quantum computing and holding a promise for hybrid architectures in quantum internet. Quantum secret sharing (QSS) is one of the key protocols…

Quantum Physics · Physics 2026-04-16 W. K. Yam , C. Wilkinson , S. Gandorfer , F. Fesquet , M. Handschuh , A. Marx , R. Gross , N. Korolkova , K. G. Fedorov

This paper studies the capacity limits for quantum secret sharing (QSS). The goal of a QSS scheme is to distribute a quantum secret among multiple participants, such that only authorized parties can recover it through collaboration, while…

Quantum Physics · Physics 2026-04-28 Gabrielle Lalou , Husein Natur , Uzi Pereg

Quantum secret sharing (QSS) is the result of merging the principles of quantum mechanics with secret information sharing. It enables a sender to share a secret among receivers, and the receivers can then collectively recover the secret…

Quantum Physics · Physics 2024-02-06 Guo-Dong Li , Wen-Chuan Cheng , Qing-Le Wang , Long Cheng , Ying Mao , Heng-Yue Jia

Quantum secret sharing is a cryptographic scheme that enables a secure storage and reconstruction of quantum information. While the theory of secret sharing is mature in its development, relatively few studies have explored the performance…

Quantum Physics · Physics 2025-11-04 Jay Graves , Mike Nelson , Eric Chitambar

We explore the conversion of classical secret-sharing schemes to quantum ones, and how this can be used to give efficient QSS schemes for general adversary structures. Our first result is that quantum secret-sharing is possible for any…

Quantum Physics · Physics 2007-05-23 Adam D. Smith

Secure quantum networks are a bedrock requirement for developing a future quantum internet. However, quantum channels are susceptible to channel noise that introduce errors in the transmitted data. The traditional approach to providing…

Quantum Physics · Physics 2025-05-30 Nitin Jha , Abhishek Parakh , Mahadevan Subramaniam

We discuss a method to construct quantum codes correcting amplitude damping errors via code concatenation. The inner codes are chosen as asymmetric Calderbank-Shor-Steane (CSS) codes. By concatenating with outer codes correcting symmetric…

Quantum Physics · Physics 2016-10-31 Tyler Jackson , Markus Grassl , Bei Zeng

We study the communication efficient secret sharing (CESS) problem introduced by Huang, Langberg, Kliewer and Bruck. A classical threshold secret sharing scheme randomly encodes a secret into $n$ shares given to $n$ parties, such that any…

Information Theory · Computer Science 2016-11-07 Rawad Bitar , Salim El Rouayheb

We show how to protect a stream of quantum information from decoherence induced by a noisy quantum communication channel. We exploit preshared entanglement and a convolutional coding structure to develop a theory of entanglement-assisted…

Quantum Physics · Physics 2010-05-03 Mark M. Wilde , Todd A. Brun

Quantum secret sharing (QSS) is a multi-party quantum communication protocol that can be realized with bipartite entanglement and relative phase encoding. Previous implementations typically encoded the phase in the pump, applying it across…

Free-space quantum cryptography has the potential to enable global quantum communication. However, most existing continuous-variable quantum secret sharing (CV-QSS) schemes rely on fiber channels. In this paper, we present a CV-QSS protocol…

Quantum Physics · Physics 2025-03-17 Fangli Yang , Liang Chang , Daowen Qiu , Minghua Pan , Wanjun Xiong

Sequential Quantum Secret Sharing schemes (QSS) do not use entangled states for secret sharing, rather they rely on sequential operations of the players on a single state which is circulated between the players. In order to check the…

Quantum Physics · Physics 2017-10-02 Marzieh Asoudeh , Vahid Karimipour

In this paper, a semiquantum secret sharing (SQSS) protocol based on x-type states is proposed, which can accomplish the goal that only when two classical communicants cooperate together can they extract the shared secret key of a quantum…

Quantum Physics · Physics 2022-12-13 Ying Chen , Tian-Yu Ye

We propose a new approach to implement quantum repeaters for long distance quantum communication. Our protocol generates a backbone of encoded Bell pairs and uses the procedure of classical error correction during simultaneous entanglement…

We introduce and explicit Calderbank-Shor-Steane (CSS) code construction that generalizes the Layer codes to $D=4,5$ dimensions. Much like its predecessor, the present construction is based on embedding quantum low-density parity check…

Quantum Physics · Physics 2026-05-20 Andrew C. Yuan , Nouédyn Baspin

Group oriented applications are getting more and more popular in mobile Internet and call for secure and efficient secret sharing (SS) scheme to meet their requirements. A $(t,n)$ threshold SS scheme divides a secret into $n$ shares such…

Cryptography and Security · Computer Science 2021-04-13 Fuyou Miao , Yue Yu , Keju Meng , Wenchao Huang , Yan Xiong