Geometric Refactoring of Quantum and Reversible Circuits Using Graph Algorithms
Lukac M. Nursultan S. Krylov G. Keszocze O. Rakhmettulayev A. Kameyama M.
August 2024Institute of Electronics Information Communication Engineers
IEICE Transactions on Information and Systems
2024#E107.DIssue 8930 - 939 pp.
With the advent of gated quantum computers and the reg- ular structures for qubit layout, methods for placement, routing, noise es- timation, and logic to hardware mapping become imminently required. In this paper, we propose a method for quantum circuit layout that is intended to solve such problems when mapping a quantum circuit to a gated quantum computer. The proposed methodology starts by building a Circuit Interac- tion Graph (CIG) that represents the ideal hardware layout minimizing the distance and path length between the individual qubits. The CIG is also used to introduce a qubit noise model. Once constructed, the CIG is iteratively reduced to a given architecture (qubit coupling model) specifying the neigh- borhood, qubits, priority, and qubits noise. The introduced constraints allow us to additionally reduce the graph according to preferred weights of desired properties. We propose two different methods of reducing the CIG: itera- tive reduction or the iterative isomorphism search algorithm. The proposed method is verified and tested on a set of standard benchmarks with results showing improvement on certain functions while in average improving the cost of the implementation over the current state of the art methods.
graph algorithms , quantum circuits , qubuit layout
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Hiroshima City University, Hiroshima-shi, 731-3166, Japan
Nazrbayev University, Astana, Kazakhstan
University of New Brunswick, Fredericton, Canada
Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Nuremberg, Germany
Nazarbayev Intellectual School, Astana, Kazakhstan
Tohoku University, Sendai-shi, 980-8577, Japan
Hiroshima City University
Nazrbayev University
University of New Brunswick
Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
Nazarbayev Intellectual School
Tohoku University
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