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Quantum-mechanical devices have the potential to transform cryptography. Most research in this area has focused either on the information-theoretic advantages of quantum protocols or on the security of classical cryptographic schemes…

Secret sharing is a multi-party cryptographic primitive that can be applied to a network of partially distrustful parties for encrypting data that is both sensitive (it must remain secure) and important (it must not be lost or destroyed).…

Quantum Physics · Physics 2022-02-28 Nathan Walk , Jens Eisert

We give an example of a wide class of problems for which quantum information protocols based on multi-system entanglement can be mapped into much simpler ones involving one system. Secret sharing is a cryptographic primitive which plays a…

Quantum Physics · Physics 2016-03-09 Armin Tavakoli , Isabelle Herbauts , Marek Zukowski , Mohamed Bourennane

A rational secret sharing scheme is a game in which each party responsible for reconstructing a secret tries to maximize his utility by obtaining the secret alone. Quantum secret sharing schemes, either derived from quantum teleportation or…

Quantum Physics · Physics 2015-08-06 Arpita Maitra , Sourya Joyee De , Goutam Paul , Asim K. Pal

We consider the task of sharing a secret quantum state in a quantum network in a verifiable way. We propose a protocol that achieves this task, while reducing the number of required qubits, as compared to the existing protocols. To achieve…

Quantum Physics · Physics 2020-03-24 Victoria Lipinska , Gláucia Murta , Jérémy Ribeiro , Stephanie Wehner

To detect frauds from some internal participants or external attackers, some verifiable threshold quantum secret sharing schemes have been proposed. In this paper, we present a new verifiable threshold structure based on a single qubit…

Cryptography and Security · Computer Science 2020-12-02 Dan-Li Zhi , Zhi-Hui Li , Zhao-Wei Han , Li-Juan Liu

Sharing correlated random variables is a resource for a number of information theoretic tasks such as privacy amplification, simultaneous message passing, secret sharing and many more. In this article, we show that to establish such a…

Quantum Physics · Physics 2021-11-03 Tamal Guha , Mir Alimuddin , Sumit Rout , Amit Mukherjee , Some Sankar Bhattacharya , Manik Banik

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

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

We propose a quantum function secret sharing scheme in which the communication is exclusively classical. In this primitive, a classical dealer distributes a secret quantum circuit $C$ by providing shares to $p$ quantum parties. The parties…

Quantum Physics · Physics 2025-10-14 Alex B. Grilo , Ramis Movassagh

We present the first leveled fully homomorphic encryption scheme for quantum circuits with classical keys. The scheme allows a classical client to blindly delegate a quantum computation to a quantum server: an honest server is able to run…

Quantum Physics · Physics 2023-12-11 Urmila Mahadev

A general class of authentication schemes for arbitrary quantum messages is proposed. The class is based on the use of sets of unitary quantum operations in both transmission and reception, and on appending a quantum tag to the quantum…

Quantum Physics · Physics 2015-06-26 Esther Perez , Marcos Curty , David J. Santos , Priscila Garcia-Fernandez

With the advantages of both classical and quantum secret sharing, many practical hybrid quantum secret sharing have been proposed. In this paper, we propose a hybrid quantum secret sharing scheme based on mutually unbiased bases and…

Quantum Physics · Physics 2020-06-24 Dan-Li Zhi , Zhu-Hui Li , Li-juan Liu , Zhao-Wei Han

In this article we present a general security strategy for quantum secret sharing (QSS) protocols based on the HBB scheme presented by Hillery, Bu\v{z}ek and Berthiaume [Phys. Rev A \textbf{59}, 1829 (1999)]. We focus on a generalization of…

Quantum Physics · Physics 2011-01-18 Stefan Schauer , Marcus Huber , Beatrix C. Hiesmayr

Quantum cryptography allows one to distribute a secret key between two remote parties using the fundamental principles of quantum mechanics. The well-known established paradigm for the quantum key distribution relies on the actual…

Quantum Physics · Physics 2015-05-13 Tae-Gon Noh

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

In this paper we consider to use the quantum stabilizer codes as secret sharing schemes for classical secrets. We give necessary and sufficient conditions for qualified and forbidden sets in terms of quantum stabilizers. Then we give a…

Quantum Physics · Physics 2019-11-28 Ryutaroh Matsumoto

In the standard model of quantum secret sharing, typically, one is interested in minimal authorized sets for the reconstruction of the secret. In such a setting, reconstruction requires the communication of all the shares of the…

Quantum Physics · Physics 2019-11-20 Kaushik Senthoor , Pradeep Kiran Sarvepalli

Attacks on classical cryptographic protocols are usually modeled by allowing an adversary to ask queries from an oracle. Security is then defined by requiring that as long as the queries satisfy some constraint, there is some problem the…

Quantum Physics · Physics 2011-09-01 Ivan Damgaard , Jakob Funder , Jesper Buus Nielsen , Louis Salvail

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan