Solving coupled non-linear schrödinger equations via quantum imaginary time evolution

2024/11/25 by Yang Hong Li, Jim Al-Khalili, P. D. Stevenson · 1 voice
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems

paper · pdf · doi:10.1140/epjs/s11734-024-01384-z

openalex publication_date 2024/11/25 · openalex created_date 2024/11/26 · openalex updated_date 2026/07/23

Abstract

Coupled non-linear Schrödinger equations are crucial in describing dynamics of many-particle systems. We present a quantum imaginary time evolution (ITE) algorithm as a solution to such equations in the case of nuclear Hartree-Fock approach. Under a simplified Skyrme interaction model, we calculate the ground state energy of an oxygen-16 nucleus and demonstrate that the result is in agreement with the classical ITE algorithm. We examine bottlenecks and deficiencies in the quantum algorithm and suggest possible improvements.

Citations

• Simulating physics with computers

Discussions

• Nuclear Density Functional Theory as solved by a quantum algorithm = new paper by us out today doi.org/10.1140/epjs... [bsky, 7 points, 1 comments]

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