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Feb 20, 2019 · As a building block, Grover's algorithm requires an "oracle", which is used to evaluate the quadratic equations at a superposition of all ...
Nov 18, 2016 · We describe how to use Grover's algorithm to solve multivariate systems of equations over . This problem is known as the problem and it is in general NP- ...
Oct 23, 2017 · Abstract. The problem of solving a system of quadratic equations in multiple variables—known as multivariate-quadratic or MQ problem—.
Two different quantum circuits are described that provide an oracle functionality that is used to evaluate the quadratic equations at a superposition of all ...
Solving binary MQ with Grover's algorithm ; Fulltext: 166154pre.pdf ; Size: 712.9Kb ; Format: PDF ; Description: Author's version preprint.
In this paper, we design the Grover's oracle circuit to solve the MQ problem over GF(31) that can be used to analyze the quantum security of PQC candidates.
Sep 4, 2016 · We explicitly construct oracles to solve binary MQ, which is the underlying hard problem of many proposed post-quantum cryptographic ...
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Mar 19, 2021 · In this part, we will look at the more general theory behind Grover's algorithm, and implement the general Q# variant that can be used to find any number in an ...
Apr 10, 2023 · MQ Grover [8] limits the system of equations to F2, allowing for only binary xi and Ei values. And Quantum Fuzzy K-Means Algorithm Based on ...
Sep 3, 2016 · We explicitly construct oracles to solve binary MQ, which is the underlying hard problem of many proposed post-quantum cryptographic ...