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A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward benefit of allowing users to delegate computations to a more…

Secret sharing, in which a dealer wants to split a secret in such a way that any unauthorized subset of parties is unable to reconstruct it, plays a key role in cryptography. The security of quantum protocols for the task is guaranteed by…

Quantum Physics · Physics 2017-10-10 Kejin Wei , Xiuqing Yang , Haiqiang Ma , Changhua Zhu

Generalizing the notion of dynamic quantum secret sharing (DQSS), a simplified protocol for hierarchical dynamic quantum secret sharing (HDQSS) is proposed and it is shown that the protocol can be implemented using any existing protocol of…

Quantum Physics · Physics 2022-06-10 Sandeep Mishra , Chitra Shukla , Anirban Pathak , R. Srikanth , Anu Venugopalan

Secret sharing is a procedure for splitting a message into several parts so that no subset of parts is sufficient to read the message, but the entire set is. We show how this procedure can be implemented using GHZ states. In the quantum…

Quantum Physics · Physics 2009-10-31 M. Hillery , V. Buzek , A. Berthiaume

For single-photon quantum key generation between two users, it is shown that the use of a shared secret key extended via a pseudo-random number generator may simultaneously enhance the security and efficiency of the cryptosystem. This…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

The need for secrecy and security is essential in communication. Secret sharing is a conventional protocol to distribute a secret message to a group of parties, who cannot access it individually but need to cooperate in order to decode it.…

Quantum Physics · Physics 2017-01-16 Ioannis Kogias , Yu Xiang , Qiongyi He , Gerardo Adesso

Recently, Li et al. [Phys. Rev. A, 82(2), 022303] presented two semi-quantum secret sharing (SQSS) protocols using GHZ-like states. The proposed schemes are rather practical because only the secret dealer requires to equip with advanced…

Quantum Physics · Physics 2011-11-10 Jason Lin , Chun-Wei Yang , Chia-Wei Tsai , Tzonelih Hwang

We show a construction of a quantum ramp secret sharing scheme from a nested pair of linear codes. Necessary and sufficient conditions for qualified sets and forbidden sets are given in terms of combinatorial properties of nested linear…

Information Theory · Computer Science 2018-08-10 Ryutaroh Matsumoto

The work presents an amalgam of quantum search algorithm (QSA) and quantum secret sharing (QSS). The proposed QSS scheme utilizes Grover's three-particle quantum state. In this scheme, the dealer prepares an encoded state by encoding the…

Quantum Physics · Physics 2021-11-18 Deepa Rathi , Farhan Musanna , Sanjeev Kumar

Quantum key distribution (QKD) allows Alice and Bob to agree on a shared secret key, while communicating over a public (untrusted) quantum channel. Compared to classical key exchange, it has two main advantages: (i) The key is…

Quantum Physics · Physics 2024-01-03 Giulio Malavolta , Michael Walter

A secret key shared through quantum key distribution between two cooperative players is secure against any eavesdropping attack allowed by the laws of physics. Yet, such a key can be established only when the quantum channel error rate due…

Quantum Physics · Physics 2007-05-23 H. F. Chau

This article introduces a novel Quantum Secret Sharing scheme with $( k, n )$ threshold and endowed with verification capability. The new protocol exploits the power of entanglement and evolves in three phases. The primary novelty of the…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos

Public-key cryptosystems for quantum messages are considered from two aspects: public-key encryption and public-key authentication. Firstly, we propose a general construction of quantum public-key encryption scheme, and then construct an…

Quantum Physics · Physics 2012-05-11 Min Liang , Li Yang

Recent work has shown how to use the laws of quantum mechanics to keep classical and quantum bits secret in a number of different circumstances. Among the examples are private quantum channels, quantum secret sharing and quantum data…

Quantum Physics · Physics 2007-05-23 David P. DiVincenzo , Patrick Hayden , Barbara M. Terhal

A general mathematical framework for quantum key distribution based on the concepts of quantum channel and Turing machine is suggested. The security for its special case is proved. The assumption is that the adversary can perform only…

Quantum Physics · Physics 2013-04-24 A. S. Trushechkin , I. V. Volovich

A $((k,n))$ quantum threshold secret sharing (QTS) scheme is a quantum cryptographic protocol for sharing a quantum secret among $n$ parties such that the secret can be recovered by any $k$ or more parties while $k-1$ or fewer parties have…

Quantum Physics · Physics 2023-05-31 Kaushik Senthoor , Pradeep Kiran Sarvepalli

We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do…

Quantum Physics · Physics 2026-01-06 Luowen Qian , Mark Zhandry

Quantum secret sharing schemes are a family of quantum cryptographic protocols which provide secure quantum encodings, mapping one secret to multiple shares of information such that the original secret cannot be accessed without an…

Quantum Physics · Physics 2026-05-01 Varin Sikand , Andrew Nemec

It is natural in a quantum network system that multiple users intend to send their quantum message to their respective receivers, which is called a multiple unicast quantum network. We propose a canonical method to derive a secure quantum…

Quantum Physics · Physics 2020-03-31 Go Kato , Masaki Owari , Masahito Hayashi

In quantum cryptography, quantum secret sharing $(QSS)$ is a fundamental primitive. $QSS$ can be used to create complex and secure multiparty quantum protocols. Existing $QSS$ protocols are either at the $(n, n)$ threshold $2$ level or at…

Cryptography and Security · Computer Science 2021-03-23 Kartick Sutradhar , Hari Om
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