Efficient design of a quantum absolute‑value circuit using Clifford+T gates
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URI: http://hdl.handle.net/10835/15562
DOI: 10.1007/s11227-023-05162-x
DOI: 10.1007/s11227-023-05162-x
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Orts Gómez, Francisco José; Ortega López, Gloria; Combarro, Elías; Rúa, Ignacio; Puertas López, Antonio Manuel; [et al.]Fecha
2023-03-18Resumen
Current quantum computers have a limited number of resources and are heavily affected by internal and external noise. Therefore, small, noise-tolerant circuits are of great interest. With regard to circuit size, it is especially important to reduce the number of required qubits. Concerning to fault-tolerance, circuits entirely built with Clifford+T gates allow the use of error correction codes. However, the T-gate has an excessive cost, so circuits with a high number of T-gates should be avoided. This work focuses on optimising in such terms an operation that is widely used in larger circuits and algorithms: the calculation of the absolute-value of two’s complement encoded integers. The proposed circuit halves the number of required T gates with respect to the best circuit currently available in the literature. Moreover, our circuit requires at least 2 qubits less than the other circuits for such an operation.