[2310.14974] Linear decomposition of approximate multi-controlled single qubit gates
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Quantum Physics

arXiv:2310.14974 (quant-ph)
[Submitted on 23 Oct 2023]

Title:Linear decomposition of approximate multi-controlled single qubit gates

Authors:Jefferson D. S. Silva, Thiago Melo D. Azevedo, Israel F. Araujo, Adenilton J. da Silva
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Abstract:We provide a method for compiling approximate multi-controlled single qubit gates into quantum circuits without ancilla qubits. The total number of elementary gates to decompose an n-qubit multi-controlled gate is proportional to 32n, and the previous best approximate approach without auxiliary qubits requires 32nk elementary operations, where k is a function that depends on the error threshold. The proposed decomposition depends on an optimization technique that minimizes the CNOT gate count for multi-target and multi-controlled CNOT and SU(2) gates. Computational experiments show the reduction in the number of CNOT gates to apply multi-controlled U(2) gates. As multi-controlled single-qubit gates serve as fundamental components of quantum algorithms, the proposed decomposition offers a comprehensive solution that can significantly decrease the count of elementary operations employed in quantum computing applications.
Subjects: Quantum Physics (quant-ph); Emerging Technologies (cs.ET)
Cite as: arXiv:2310.14974 [quant-ph]
  (or arXiv:2310.14974v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2310.14974

Submission history

From: Jefferson Deyvis Dos Santos Silva [view email]
[v1] Mon, 23 Oct 2023 14:23:08 UTC (284 KB)
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