High performance quantum modular multipliers

WebIn fact, it is difficult to design a quantum-quantum modular multiplier circuit that efficiently computes the multiplication because the reversible modular inversion routine that inverts the reduc- tion stage used for modular multiplication has a … WebFor comparison, we analyzed the proposed quantum addition circuit over GF(2n−1) and the previous quantum modular addition circuit for the performance of the number of qubits, the number of gates, and the depth, and simulated it with IBM’s simulator ProjectQ. ... Rines, R.; Chuang, I. High performance quantum modular multipliers.

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Efficient implementation of Montgomery modular multiplier on …

WebWe use high-performance classical tools to construct, optimize, and simulate quantum circuits subject to realistic error models in order to empirically determine the maximum tolerable error rate for a meaningful Hamiltonian simulation experiment on a near-term quantum computer. WebJul 24, 2024 · The outline of the quantum modular multiplication is as follows. 1. Compute the multiplication result of x and y 2. Divide (x\cdot y) by p and obtain the remainder x\cdot y\pmod {p} and quotient q. 3. To uncompute, q\cdot p is calculated from the quotient q. We add x\cdot y\pmod {p} to q\cdot p, thus making the output with value of x\cdot y. WebJan 1, 2024 · In this paper, we proposed efficient quantum-classical modular multipliers and the first quantum-quantum modular multipliers that do not require a reduction stage by … northern virginia bucket list

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Category:Rich Rines January 4, 2024 - arXiv

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High performance quantum modular multipliers

Design and evaluation of high-performance quantum circuit …

WebThe first half of the thesis is devoted to Shor's factoring algorithm, seeking to determine the most efficient quantum circuit implementation of a quantum modular multiplier. Three … WebWe present a novel set of reversible modular multipliers applicable to quantum computing, derived from three classical techniques: 1) traditional integer division, 2) Montgomery …

High performance quantum modular multipliers

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WebDec 21, 2024 · The VLSI implementation of the high-speed modular multiplier remains a big challenge. In this article, we propose three improved modular multiplication algorithms based on an unconventional radix for this protocol, all of which cost about 20% fewer computations than the prior art. WebQ multiplier. In electronics, a Q multiplier is a circuit added to a radio receiver to improve its selectivity and sensitivity. It is a regenerative amplifier adjusted to provide positive …

WebJan 3, 2024 · We present a novel set of reversible modular multipliers applicable to quantum computing, derived from three classical techniques: 1) traditional integer division, 2) … WebNov 18, 2024 · The proposed quantum modular multipliers show an improvement of 50% in terms of gates and circuit depth compared to the most recently proposed high …

WebDec 17, 2024 · High Performance Modular Multiplication for SIDH Abstract: The latest research indicates that quantum computers will be realized in the near future. In theory, … WebHigh Performance Quantum Modular Multipliers. Rines, Rich. ; Chuang, Isaac. We present a novel set of reversible modular multipliers applicable to quantum computing, derived …

WebRecent announcements of TVA and GE Hitachi working toward licensing and deployment of a BWXT small modular reactor at the Clinch River site is both exciting… Amber Sarver, …

WebApr 13, 2024 · As enterprises continue to adopt the Internet of Things (IoT) solutions and AI to analyze processes and data from their equipment, the need for high-speed, low-latency wireless connections are rapidly growing. Companies are already seeing benefits from deploying private 5G networks to enable their solutions, especially in the manufacturing, … northern virginia beach hotelsWebPerformance results for the proposed modular multiplier using four parameter sets for the prime, p that correspond to the SIKE Round 2 parameter sets show significant advantages … northern virginia b teamWebIn this paper, we propose a new modular multiplication algorithm and a new interleaved hardware architecture for SIDH. Performance results for the proposed modular multiplier using four parameter sets for the prime, p that correspond to the SIKE Round 2 parameter sets show significant advantages in speed. Keywords post-quantum cryptography SIDH how to save 2500 in a year chartWebJan 1, 2024 · The most applied asymmetric cryptographic algorithms such as the Digital Signature Algorithm (DSA), RSA, and Elliptical Curve Cryptography (ECC) depend mainly on modular multiplication [4]. Thus, a high-performance cryptographic system relies upon the construction of modular multiplication. how to save 2 jpegs as oneWebMay 17, 2024 · The proposed modular multiplier can be designed for any digit-size d and modulus M which only requires simple operations such as addition and shifting. Based on theoretical analysis, the efficient digit-serial MM architecture requires … how to save 2500 in 2 monthshow to save 20k in a yearWebWe present a novel set of reversible modular multipliers applicable to quantum computing, derived from three classical techniques 1 traditional integer division, 2 Montgomery … northern virginia breweries