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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

In this work we address the issue of sharing a quantum secret over untrusted channels between the dealer and players. Existing methods require entanglement over a number of systems which scales with the security parameter, quickly becoming…

Quantum Physics · Physics 2014-10-03 Anne Marin , Damian Markham

As machine learning agents act more autonomously in the world, they will increasingly interact with each other. Unfortunately, in many social dilemmas like the one-shot Prisoner's Dilemma, standard game theory predicts that ML agents will…

Computer Science and Game Theory · Computer Science 2023-11-14 Caspar Oesterheld , Johannes Treutlein , Roger Grosse , Vincent Conitzer , Jakob Foerster

This note proposes a method of space efficient secret sharing in which k secrets are mapped into n shares (n>=k) of the same size. Since, n can be chosen to be equal to k, the method is space efficient. This method may be compared with…

Cryptography and Security · Computer Science 2010-01-11 Abhishek Parakh , Subhash Kak

Secret sharing is an important building block in cryptography. All explicitly defined secret sharing schemes with known exact complexity bounds are multi-linear, thus are closely related to linear codes. The dual of such a linear scheme, in…

Information Theory · Computer Science 2020-02-04 Laszlo Csirmaz

This study concentrates on preserving privacy in a network of agents where each agent seeks to evaluate a general polynomial function over the private values of her immediate neighbors. We provide an algorithm for the exact evaluation of…

Cryptography and Security · Computer Science 2022-06-08 Teimour Hosseinalizadeh , Fatih Turkmen , Nima Monshizadeh

An ideal secret sharing scheme is a method of sharing a secret key in some key space among a finite set of participants in such a way that only the authorized subsets of participants can reconstruct the secret key from their shares which…

Combinatorics · Mathematics 2023-04-19 Ryoh Fuji-Hara , Ying Miao

We study a secret sharing problem with three secrets where the secrets are allowed to be related to each other, i.e., only certain combinations of the three secrets are permitted. The dealer produces three shares such that every pair of…

Information Theory · Computer Science 2023-05-01 Hari Krishnan P. Anilkumar , Aayush Rajesh , Varun Narayanan , Manoj M. Prabhakaran , Vinod M. Prabhakaran

This paper investigates the fundamental performance limits of the two-user interference channel in the presence of an external eavesdropper. In this setting, we construct an inner bound, to the secrecy capacity region, based on the idea of…

Information Theory · Computer Science 2015-03-13 O. Ozan Koyluoglu , Hesham El Gamal

Quantum secret sharing (QSS) is a cryptographic protocol in which a quantum secret is distributed among a number of parties where some subsets of the parties are able to recover the secret while some subsets are unable to recover the…

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

A new concept of quantum secret sharing is introduced, in which collaboration among participants are encourage. And the dealer can ask the participants to send back their share and revoke the secret before a predefined date or event, i.e.…

Quantum Physics · Physics 2024-09-13 Xiaogang Cheng , Ren Guo

In this paper two cryptographic methods are introduced. In the first method the presence of a certain size subgroup of persons can be checked for an action to take place. For this we use fragments of Raptor codes delivered to the group…

Information Theory · Computer Science 2008-11-07 Mikko Malinen

Conditional disclosure of secrets (CDS) allows multiple parties to reveal a secret to a third party if and only if some pre-decided condition is satisfied. In this work, we bolster the privacy guarantees of CDS by introducing…

Cryptography and Security · Computer Science 2021-10-11 Nolan Miranda , Foo Yee Yeo , Vipin Singh Sehrawat

In a recent work, Markham and Sanders have proposed a framework to study quantum secret sharing (QSS) schemes using graph states. This framework unified three classes of QSS protocols, namely, sharing classical secrets over private and…

Quantum Physics · Physics 2012-10-30 Pradeep Sarvepalli

Encrypted control systems allow to evaluate feedback laws on external servers without revealing private information about state and input data, the control law, or the plant. While there are a number of encrypted control schemes available…

Systems and Control · Electrical Eng. & Systems 2022-01-14 Sebastian Schlor , Michael Hertneck , Stefan Wildhagen , Frank Allgöwer

Secret sharing is a new alternative for outsourcing data in a secure way.It avoids the need for time consuming encryption decryption process and also the complexity involved in key management.The data must also be protected from untrusted…

Cryptography and Security · Computer Science 2015-02-27 V. P. Binu , A. Sreekumar

A resilient secret sharing scheme is supposed to generate the secret correctly even after some shares are damaged. In this paper, we show how quantum error correcting codes can be exploited to design a resilient quantum secret sharing…

Quantum Physics · Physics 2015-02-02 Arpita Maitra , Goutam Paul

Conjunctive Hierarchical Secret Sharing (CHSS) is a type of secret sharing that divides participants into multiple distinct hierarchical levels, with each level having a specific threshold. An authorized subset must simultaneously meet the…

Cryptography and Security · Computer Science 2026-03-24 Jian Ding , Cheng Wang , Hongju Li , Cheng Shu , Haifeng Yu

In this work, we introduce a new technique for taking a single-secret sharing scheme with a general access structure and transforming it into an individually secure multi-secret sharing scheme where every secret has the same general access…

Information Theory · Computer Science 2024-05-14 Cailyn Bass , Alejandro Cohen , Rafael G. L. D'Oliveira , Muriel Médard

In distributed matrix multiplication, a common scenario is to assign each worker a fraction of the multiplication task, by partitioning the input matrices into smaller submatrices. In particular, by dividing two input matrices into…

Information Theory · Computer Science 2020-04-14 Qian Yu , A. Salman Avestimehr
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