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We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case of two-party protocols with security against malicious…

Cryptography and Security · Computer Science 2008-11-08 Yuval Ishai , Manoj Prabhakaran , Amit Sahai

Consider designing a distributed coin-tossing protocol for n processors such that the probability of heads is X0 in [0,1], and an adversary can reset one processor to change the distribution of the final outcome. For X0=1/2, in the…

Discrete Mathematics · Computer Science 2019-11-28 Hamidreza Amini Khorasgani , Hemanta K. Maji , Tamalika Mukherjee

The concrete efficiency of secure computation has been the focus of many recent works. In this work, we present concretely-efficient protocols for secure $3$-party computation (3PC) over a ring of integers modulo $2^{\ell}$ tolerating one…

Cryptography and Security · Computer Science 2019-12-06 Harsh Chaudhari , Ashish Choudhury , Arpita Patra , Ajith Suresh

Arithmetic operations are an important component of many quantum algorithms. As such, coming up with optimized quantum circuits for these operations leads to more efficient implementations of the corresponding algorithms. In this paper, we…

Quantum Physics · Physics 2026-03-20 Priyanka Mukhopadhyay , Alexandru Gheorghiu , Hari Krovi

Cross-chain bridges and oracle DAOs represent some of the most vulnerable components of decentralized systems, with more than $2.8 billion lost due to trust failures, opaque validation behavior, and weak incentives. Current oracle designs…

Quantum Physics · Physics 2026-01-09 M. Z. Haider , Tayyaba Noreen , M. Salman , M. Dias de Assuncao , Kaiwen Zhang

We perform formal verification of quantum circuits by integrating several techniques specialized to particular classes of circuits. Our verification methodology is based on the new notion of a reversible miter that allows one to leverage…

Quantum Physics · Physics 2013-05-01 Shigeru Yamashita , Igor L. Markov

Reversible circuits have applications in digital signal processing, computer graphics, quantum computation and cryptography. In this paper, a generalized k*k reversible gate family is proposed and a 3*3 gate of the family is discussed.…

Hardware Architecture · Computer Science 2010-08-20 Md. Rafiqul Islam , Md. Saiful Islam , Muhammad Rezaul Karim , Abdullah Al Mahmud , Hafiz Md. Hasan Babu

A novel fault-tolerant computation technique based on array Belief Propagation (BP)-decodable XOR (BP-XOR) codes is proposed for distributed matrix-matrix multiplication. The proposed scheme is shown to be configurable and suited for modern…

Information Theory · Computer Science 2021-12-13 Suayb S. Arslan

Gate set tomography (GST) is a self-consistent and highly accurate method for the tomographic reconstruction of a quantum information processor's quantum logic operations, including gates, state preparations, and measurements. However,…

The BMR16 circuit garbling scheme introduces gadgets that allow for ciphertext-free modular addition, while the multiplication of private inputs modulo a prime p can be done with 2(p - 1) ciphertexts as described in Malkin, Pastro, and…

Cryptography and Security · Computer Science 2019-10-08 Justin Bloom , Lalita Devadas

The computational advantage of noisy quantum computers has been demonstrated by sampling the bitstrings of quantum random circuits. An important issue is how the performance of quantum devices could be quantified in the so-called "supremacy…

Quantum Physics · Physics 2022-05-20 Gleb Kalachev , Pavel Panteleev , Man-Hong Yung

The adoption of machine learning solutions is rapidly increasing across all parts of society. As the models grow larger, both training and inference of machine learning models is increasingly outsourced, e.g. to cloud service providers.…

Cryptography and Security · Computer Science 2024-10-16 Jonas Sander , Sebastian Berndt , Ida Bruhns , Thomas Eisenbarth

Distributing circuits across quantum processor modules will enable the execution of circuits larger than the qubit count limitations of monolithic processors. While distributed quantum computation has primarily utilized circuit cutting, it…

In the near term, programming quantum computers will remain severely limited by low quantum volumes. Therefore, it is desirable to implement quantum circuits with the fewest resources possible. For the common Clifford+T circuits, most…

Computational Engineering, Finance, and Science · Computer Science 2023-11-16 Korbinian Staudacher , Tobias Guggemos , Sophia Grundner-Culemann , Wolfgang Gehrke

We introduce a low-overhead approach for detecting errors in arbitrary Clifford circuits on arbitrary qubit connectivities. Our method is based on the framework of spacetime codes, and is particularly suited to near-term hardware since it…

Quantum Physics · Physics 2025-04-23 Simon Martiel , Ali Javadi-Abhari

This paper presents a 2-output Spin-Wave Programmable Logic Gate structure able to simultaneously evaluate any pair of AND, NAND, OR, NOR, XOR, and XNOR Boolean functions. Our proposal provides the means for fanout achievement within the…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Abdulqader Mahmoud , Frederic Vanderveken , Christoph Adelmann , Florin Ciubotaru , Sorin Cotofana , Said Hamdioui

We present a low-depth randomised algorithm for the estimation of entanglement fidelity between an $n$-qubit matchgate circuit $\mathcal{U}$ and its noisy implementation $\mathcal{E}$. Our procedure makes use of a modified Pauli-Liouville…

Quantum Physics · Physics 2025-10-28 Jędrzej Burkat , Sergii Strelchuk

With the high demand of low power digital systems, energy dissipation in the digital system is one of the limiting factors. Reversible logic is one of the alternate to reduce heat/energy dissipation in the digital circuits and have a very…

Hardware Architecture · Computer Science 2014-12-18 Pradeep Singla , Devraj Gautam

Multiplier circuits play an important role in reversible computation, which is helpful in diverse areas such as low power CMOS design, optical computing, DNA computing and bioinformatics. Here we propose a new reversible multiplier circuit…

Quantum Physics · Physics 2009-07-21 Anindita Banerjee , Anirban Pathak

We discuss the realization of a universal set of ultrafast single- and two-qubit operations with superconducting quantum circuits and investigate the most relevant physical and technical limitations that arise when pushing for faster and…

Quantum Physics · Physics 2021-07-20 Daoquan Zhu , Tuomas Jaako , Qiongyi He , Peter Rabl