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quant-ph2025

Quantum Algorithm for Searching for the Longest Segment and the Largest Empty Rectangle

Kamil Khadiev, Vladislav Remidovskii, Timur Bikmullin +1

In the paper, we consider the problem of searching for the Largest empty rectangle in a 2D map, and the one-dimensional version of the problem is the problem of searching for the l…

quant-ph2025

Quantum Circuit for Quantum Fourier Transform for Arbitrary Qubit Connectivity Graphs

Kamil Khadiev, Aliya Khadieva, Vadim Sagitov +1

In the paper, we consider quantum circuits for the Quantum Fourier Transform (QFT) algorithm. The QFT algorithm is a very popular technique used in many quantum algorithms. We pres…

quant-ph2025

Implementation of Quantum Fourier Transform and Quantum Hashing for a Quantum Device with Arbitrary Qubits Connection Graphs

Kamil Khadiev, Aliya Khadieva, Zeyu Chen +1

In the paper, we consider quantum circuits for Quantum fingerprinting (quantum hashing) and quantum Fourier transform (QFT) algorithms. Quantum fingerprinting (quantum hashing) is…

quant-ph2024

Shallow Implementation of Quantum Fingerprinting with Application to Quantum Finite Automata

Mansur Ziiatdinov, Aliya Khadieva, Kamil Khadiev

Quantum fingerprinting is a technique that maps classical input word to a quantum state. The obtained quantum state is much shorter than the original word, and its processing uses…

quant-ph2024

Quantum hashing algorithm implementation

Aliya Khadieva

We implement a quantum hashing algorithm which is based on a fingerprinting technique presented by Ambainis and Frievalds, 1988, on gate-based quantum computers. This algorithm is…

quant-ph2024

A Representative Framework for Implementing Quantum Finite Automata on Real Devices

Aliya Khadieva, Özlem Salehi, Abuzer Yakaryılmaz

We present a framework for the implementation of quantum finite automata algorithms designed for the language on gate-based quantum com…