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We present a unified formalism for threshold quantum secret sharing using graph states of systems with prime dimension. We construct protocols for three varieties of secret sharing: with classical and quantum secrets shared between parties…

Quantum Physics · Physics 2010-12-22 Adrian Keet , Ben Fortescue , Damian Markham , Barry C. Sanders

We demonstrate a new construction for perfect quantum secret sharing (QSS) schemes based on imperfect "ramp" secret sharing combined with classical encryption, in which the individual parties' shares are split into quantum and classical…

Quantum Physics · Physics 2012-11-12 Ben Fortescue , Gilad Gour

Secret Sharing techniques are now the building blocks of several security protocols. A (t;n) threshold secret sharing scheme is one in which t or more participant can join together to retrieve the secret.Traditional single secret sharing…

Cryptography and Security · Computer Science 2016-04-01 V P Binu , A Sreekumar

In this paper, we study an information-theoretic secret sharing problem, where a dealer distributes shares of a secret among a set of participants under the following constraints: (i) authorized sets of users can recover the secret by…

Information Theory · Computer Science 2021-11-15 Vidhi Rana , Remi A. Chou , Hyuck Kwon

A secret sharing scheme is a method to store information securely and reliably. Particularly, in a threshold secret sharing scheme, a secret is encoded into $n$ shares, such that any set of at least $t_1$ shares suffice to decode the…

Information Theory · Computer Science 2016-04-04 Wentao Huang , Michael Langberg , Joerg Kliewer , Jehoshua Bruck

Quantum protocols for secret sharing usually rely on multi-party entanglement which with present technology is very difficult to achieve. Recently it has been shown that sequential manipulation and communication of a single $d-$ level state…

Quantum Physics · Physics 2015-11-11 Vahid Karimipour , Marzieh Asoudeh

We construct general schemes for multi-partite quantum secret sharing using multi-level systems, and find that the consistent conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using the very…

Quantum Physics · Physics 2015-07-22 I-Ching Yu , Feng-Li Lin , Ching-Yu Huang

The ability to distribute secret keys between two parties with information-theoretic security, that is, regardless of the capacities of a malevolent eavesdropper, is one of the most celebrated results in the field of quantum information…

Quantum Physics · Physics 2015-09-01 Eleni Diamanti , Anthony Leverrier

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

Secret sharing is a procedure for sharing a secret among a number of participants such that only the qualified subsets of participants have the ability to reconstruct the secret. Even in the presence of eavesdropping, secret sharing can be…

Quantum Physics · Physics 2015-05-13 Qin Li , W. H. Chan , Dong-Yang Long

Quantum key-distribution protocols allow two honest distant parties to establish a common truly random secret key in the presence of powerful adversaries, provided that the two users share beforehand a short secret key. This pre-shared…

Quantum Physics · Physics 2024-01-10 Georgios M. Nikolopoulos , Marc Fischlin

We investigate the concept of quantum secret sharing. In a ((k,n)) threshold scheme, a secret quantum state is divided into n shares such that any k of those shares can be used to reconstruct the secret, but any set of k-1 or fewer shares…

Quantum Physics · Physics 2009-10-31 Richard Cleve , Daniel Gottesman , Hoi-Kwong Lo

We propose here a quantum secret sharing scheme that works for both quantum and classical secrets. The proposed scheme is based on both entanglement swapping and teleportation together. It allows sender to encrypt his/her secret and…

Quantum Physics · Physics 2015-06-30 Muhammad Nadeem , Noor Ul Ain

In this work we revisit the fundamental findings by Chen et al. in [5] on general information transfer in linear ramp secret sharing schemes to conclude that their method not only gives a way to establish worst case leakage [5, 25] and best…

Information Theory · Computer Science 2026-01-05 Olav Geil

Shamir's celebrated secret sharing scheme provides an efficient method for encoding a secret of arbitrary length $\ell$ among any $N \leq 2^\ell$ players such that for a threshold parameter $t$, (i) the knowledge of any $t$ shares does not…

Cryptography and Security · Computer Science 2018-12-14 Fuchun Lin , Mahdi Cheraghchi , Venkatesan Guruswami , Reihaneh Safavi-Naini , Huaxiong Wang

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

Quantum key distribution is a cryptographic primitive for the distribution of symmetric encryption keys between two parties that possess a pre-shared secret. Since the pre-shared secret is a requirement, quantum key distribution may be…

Quantum Physics · Physics 2017-07-11 Alexander Ling , Christoph Wildfeuer , Valerio Scarani

After analysing the main quantum secret sharing protocol based on the entanglement states, we propose an idea to directly encode the qubit of quantum key distributions, and then present a quantum secret sharing scheme where only product…

Quantum Physics · Physics 2009-11-07 Guo-Ping Guo , Guang-Can Guo

We propose a new quantum secret sharing scheme using a single non-entangled qubit. In the scheme, by transmitting a qubit to the next party sequentially, a sender can securely transmit a secret message to $N$ receivers who could only decode…

Quantum Physics · Physics 2015-06-26 Yun Jin Choi , Young-Jai Park , Chil-Min Kim , Jaewan Kim

Secret sharing schemes are widely used now a days in various applications, which need more security, trust and reliability. In secret sharing scheme, the secret is divided among the participants and only authorized set of participants can…

Cryptography and Security · Computer Science 2014-06-24 V P Binu , A Sreekumar