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We study the arithmetic circuit complexity of threshold secret sharing schemes by characterizing the graph-theoretic properties of arithmetic circuits that compute the shares. Using information inequalities, we prove that any unrestricted…

Computational Complexity · Computer Science 2026-03-02 Yuan Li

Experimental Quantum Key Distribution (QKD) protocols have to consist of not only the unconditionally secure quantum transmission, but also a subsequent classical exchange that enables key reconciliation and error correction. There is a…

Quantum Physics · Physics 2015-06-19 Elizabeth Newton , Matthew C. J. Everitt , Freya L. Wilson , Benjamin T. H. Varcoe

The entangled graph states have emerged as an elegant and powerful quantum resource, indeed almost all multiparty protocols can be written in terms of graph states including measurement based quantum computation (MBQC), error correction and…

Quantum Physics · Physics 2009-11-13 Elham Kashefi , Damian Markham , Mehdi Mhalla , Simon Perdrix

Can a classical system command a general adversarial quantum system to realize arbitrary quantum dynamics? If so, then we could realize the dream of device-independent quantum cryptography: using untrusted quantum devices to establish a…

Quantum Physics · Physics 2012-09-04 Ben W. Reichardt , Falk Unger , Umesh Vazirani

Almost all known secret sharing schemes work on numbers. Such methods will have difficulty in sharing graphs since the number of graphs increases exponentially with the number of nodes. We propose a secret sharing scheme for graphs where we…

Cryptography and Security · Computer Science 2010-09-16 K. R. Sahasranand , Nithin Nagaraj

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

We present a quantum digital signature scheme whose security is based on fundamental principles of quantum physics. It allows a sender (Alice) to sign a message in such a way that the signature can be validated by a number of different…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman , Isaac Chuang

We provide a simple description of the most general collective Gaussian attack in continuous-variable quantum cryptography. In the scenario of such general attacks, we analyze the asymptotic secret-key rates which are achievable with…

Quantum Physics · Physics 2008-12-03 Stefano Pirandola , Samuel L. Braunstein , Seth Lloyd

A quantum algorithm succeeds not because the superposition principle allows 'the computation of all values of a function at once' via 'quantum parallelism,' but rather because the structure of a quantum state space allows new sorts of…

Quantum Physics · Physics 2010-05-17 Jeffrey Bub

The security of the previous quantum key distribution (QKD) protocols, which is guaranteed by the nature of physics law, is based on the legitimate users. However, impersonation of the legitimate communicators by eavesdroppers, in practice,…

Quantum Physics · Physics 2007-05-23 Guihua Zeng , Xinmei Wang

This work introduces a hybrid quantum-classical method to correlation clustering, a graph-based unsupervised learning task that seeks to partition the nodes in a graph based on pairwise agreement and disagreement. In particular, we adapt…

This study proposes a multiparty mediated quantum secret sharing (MQSS) protocol that allows n restricted quantum users to share a secret via the assistance of a dishonest third-party (TP) with full quantum capabilities. Under the premise…

Cryptography and Security · Computer Science 2021-12-22 Chia-Wei Tsai , Chun-Wei Yang , Jason Lin

Quantum secret sharing (QSS) is a typical multipartite cryptographic primitive, which is an important part of quantum communication network. Existing QSS protocols generally require basis selection and matching, which would increase the…

Quantum Physics · Physics 2025-03-27 Cheng Zhang , Fu-Le Hao , Shi-Pu Gu , Xing-Fu Wang , Lan Zhou , Yu-Bo Sheng

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

Encryption schemes attempt to provide a means for entities to communicate confidentially over a public channel. Such schemes have been studied for centuries, and their use has become widespread. However, developments in the area of quantum…

Quantum Physics · Physics 2009-09-29 Michael Stephen Brown

A single-state multiparty semiquantum secret sharing (MSQSS) scheme with d-dimensional Bell states is proposed, which can accomplish the goal that only when all receivers work together can they restore the sender's secret key. This protocol…

Quantum Physics · Physics 2024-02-28 Ying Chen , Zhi-Gang Gan , Tian-Yu Ye

This paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the…

Discrete Mathematics · Computer Science 2007-05-23 N. Srinivasan , C. Sanjeevakumar , L. Sudarsan , M. Kasi Rajan , R. Venkatesh

In conventional cryptography, information-theoretically secure message authentication can be achieved by means of universal hash functions, and requires that the two legitimate users share a random secret key, which is twice as long as the…

Quantum Physics · Physics 2020-11-16 Georgios M. Nikolopoulos , Marc Fischlin

This paper presents a new scheme to distribute secret shares using two trusted third parties to increase security and eliminate the dependency on single trusted third party. This protocol for communication between a device and two trusted…

Cryptography and Security · Computer Science 2016-08-19 Adnan Memon

Quantum key distribution (QKD) is a popular introduction to quantum technologies used in education and public outreach, as very little background in quantum theory is needed and the practical applications are easily understood. There is…

Physics Education · Physics 2026-01-27 Brian R. La Cour , Noah A. Davis
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