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Quantum Information Processing

Phase shift and multi-controlled Z-type gates

  • 01-07-2023
Published in:
Authors
Andrei Novikov
Ramil Zainulin
Published in
Quantum Information Processing | Issue 7/2023

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Abstract

The article delves into the implementation of Grover's algorithm using only Z-base operators and Hadamard operators, highlighting the critical role of the Grover diffusion operator. It presents a rigorous decomposition of the phase shift operator into a set of gates, demonstrating that this decomposition is both irreducible and commutative. Additionally, the article estimates the number of two-qubit gates required for the decomposition, providing insights into the efficiency and reliability of the proposed method. The findings have significant implications for the practical implementation of quantum algorithms and the understanding of quantum gate decompositions.
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previous article A secure controlled quantum image steganography scheme based on the multi-channel effective quantum image representation model
next article Quantum circuits for discrete-time quantum walks with position-dependent coin operator
Title
Phase shift and multi-controlled Z-type gates
Authors
Andrei Novikov
Ramil Zainulin
Publication date
01-07-2023
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-023-04005-1
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