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DOE OSTI · 3364674

Connection between classical and quantum descriptions of spin waves using quantum circuits

Stancil, Daniel D. [North Carolina State University, Raleigh, NC (United States)] (ORCID:0000000177411893)·Bakalov, Bojko N. [North Carolina State University, Raleigh, NC (United States)] (ORCID:0000000346306120)·Byrd, Gregory T. [North Carolina State University, Raleigh, NC (United States)] (ORCID:0000000336478738)
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Abstract

A quantum computing circuit is presented that approximates a single spin wave quantum on a linear chain of spin 1/2 particles described by a Heisenberg Hamiltonian. The circuit is a product state where each qubit represents a spin. The spin wave motion is represented by opening the cone angle using Y rotations and then adding progressive Z rotations along the chain to represent wave propagation. We show analytically that this product state yields the correct dispersion relation in the limit of an unbounded chain. This observation is confirmed using both a simulator and various quantum processors. The use of the quantum computing paradigm in this case does not lead to a computational advantage, but rather leads to a novel conceptual connection between classical and quantum descriptions of spin waves, and may also be useful for characterizing the error in quantum processors.

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Stancil, Daniel D. [North Carolina State University, Raleigh, NC (United States)] (ORCID:0000000177411893), Bakalov, Bojko N. [North Carolina State University, Raleigh, NC (United States)] (ORCID:0000000346306120), Byrd, Gregory T. [North Carolina State University, Raleigh, NC (United States)] (ORCID:0000000336478738). 2026-03-10. Connection between classical and quantum descriptions of spin waves using quantum circuits. https://doi.org/10.1088/1402-4896%2Fae4840

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