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Most heavy computation occurs on servers owned by a second party. This reduces data privacy, resulting in interest in data-oblivious computation, which typically severely degrades performance. Secure and fast delegated computation is…

Cryptography and Security · Computer Science 2025-10-08 Mark Braverman , Stephen Newman

Privacy preserving multi-party computation has many applications in areas such as medicine and online advertisements. In this work, we propose a framework for distributed, secure machine learning among untrusted individuals. The framework…

Cryptography and Security · Computer Science 2018-11-27 Yunhui Long , Tanmay Gangwani , Haris Mughees , Carl Gunter

In classical two-party computation, a trusted initializer who prepares certain initial correlations, known as one-time tables, can help make the inputs of both parties information-theoretically secure. We propose some bipartite quantum…

Quantum Physics · Physics 2021-04-20 Li Yu

We present an algorithm to reduce the computational effort for the multiplication of a given matrix with an unknown column vector. The algorithm decomposes the given matrix into a product of matrices whose entries are either zero or integer…

Information Theory · Computer Science 2020-02-28 Ralf R. Müller , Bernhard Gäde , Ali Bereyhi

In this paper, we present novel deterministic algorithms for multiplying two $n \times n$ matrices approximately. Given two matrices $A,B$ we return a matrix $C'$ which is an \emph{approximation} to $C = AB$. We consider the notion of…

Data Structures and Algorithms · Computer Science 2014-08-21 Shiva Manne , Manjish Pal

The discretization of non-local operators, e.g., solution operators of partial differential equations or integral operators, leads to large densely populated matrices. $\mathcal{H}^2$-matrices take advantage of local low-rank structures in…

Numerical Analysis · Mathematics 2024-03-11 Steffen Börm

We consider the task of secure multi-party distributed quantum computation on a quantum network. We propose a protocol based on quantum error correction which reduces the number of necessary qubits. That is, each of the $n$ nodes in our…

Quantum Physics · Physics 2022-10-04 Victoria Lipinska , Jérémy Ribeiro , Stephanie Wehner

We consider the basic bidirectional relaying problem, in which two users in a wireless network wish to exchange messages through an intermediate relay node. In the compute-and-forward strategy, the relay computes a function of the two…

Information Theory · Computer Science 2016-11-15 Shashank Vatedka , Navin Kashyap , Andrew Thangaraj

Secure sum computation of private data inputs is an interesting example of Secure Multiparty Computation (SMC) which has attracted many researchers to devise secure protocols with lower probability of data leakage. In this paper, we provide…

Cryptography and Security · Computer Science 2010-03-23 Rashid Sheikh , Beerendra Kumar , Durgesh Kumar Mishra

We consider a problem, which we call secure grouping, of dividing a number of parties into some subsets (groups) in the following manner: Each party has to know the other members of his/her group, while he/she may not know anything about…

Cryptography and Security · Computer Science 2018-10-17 Yuji Hashimoto , Kazumasa Shinagawa , Koji Nuida , Masaki Inamura , Goichiro Hanaoka

We consider the problem of secure distributed matrix multiplication (SDMM) in which a user wishes to compute the product of two matrices with the assistance of honest but curious servers. We construct polynomial codes for SDMM by studying a…

Information Theory · Computer Science 2020-02-13 Rafael G. L. D'Oliveira , Salim El Rouayheb , David Karpuk

Secure Multi-Party Computation (MPC) is an important enabling technology for data privacy in modern distributed applications. We develop a new type theory to automatically enforce correctness,confidentiality, and integrity properties of…

Cryptography and Security · Computer Science 2025-01-30 Christian Skalka , Joseph P. Near

In this manuscript, we explore the application of model-free reinforcement learning in optimizing secure multiparty computation (SMPC) protocols. SMPC is a crucial tool for performing computations on private data without the need to…

Signal Processing · Electrical Eng. & Systems 2025-10-10 Javad Sayyadi , Mahdi Nangir , Mahmood Mohassel Feghhi , Hamid Sayyadi

We introduce a scheme for secure multi-party computation utilising the quantum correlations of entangled states. First we present a scheme for two-party computation, exploiting the correlations of a Greenberger-Horne-Zeilinger state to…

Quantum Physics · Physics 2010-07-27 Klearchos Loukopoulos , Daniel E. Browne

In this paper, we explore how quantum resources can be used to increase the rate of private distributed matrix multiplication (PDMM). In PDMM, a user who has two high-dimensional matrices, $A$ and $B$, and lacks the computational…

Information Theory · Computer Science 2025-12-01 Mohamed Nomeir , Alptug Aytekin , Lei Hu , Sennur Ulukus

In this paper, we study the problem of \emph{private and secure distributed matrix multiplication (PSDMM)}, where a user having a private matrix $A$ and $N$ non-colluding servers sharing a library of $L$ ($L>1$) matrices $B^{(0)},…

Information Theory · Computer Science 2022-02-01 Jie Li , Camilla Hollanti

Security of model parameters and user data is critical for Transformer-based services, such as ChatGPT. While recent strides in secure two-party protocols have successfully addressed security concerns in serving Transformer models, their…

Cryptography and Security · Computer Science 2024-05-09 Mu Yuan , Lan Zhang , Xiang-Yang Li

As networked control systems continue to evolve, ensuring the privacy of sensitive data becomes an increasingly pressing concern, especially in situations where the controller is physically separated from the plant. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Xuening Tang , Xianghui Cao , Wei Xing Zheng

We present new algorithms to detect and correct errors in the product of two matrices, or the inverse of a matrix, over an arbitrary field. Our algorithms do not require any additional information or encoding other than the original inputs…

Symbolic Computation · Computer Science 2018-02-08 Daniel S. Roche

One of the central themes in classical cryptography is multi-party computation, which performs joint computation on multiple participants' data while maintaining data privacy. The extension to the quantum regime was proposed in 2002, but…

Quantum Physics · Physics 2020-11-25 Zhu Cao
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