Quantum Imaginary Time Evolution on an Infinite 1D Chain

Abstract:We introduce a quantum-circuit algorithm for performing imaginary-time evolution on infinite one-dimensional lattice systems. The method uses a parameterized quantum circuit to represent a uniform matrix product state ansatz. We derive the ITE algorithm using the time-dependent variational principle and employ the quantum Lanczos algorithm to improve the ground-state energy estimate. As a benchmark, we simulate the transverse-field Ising model using both classical simulators and IBM Quantum devices. Our analysis includes a statistical study of the distributions of the cost function and energy density obtained from quantum measurements, illustrating the effects of finite-sampling noise on convergence.

arXiv:2608.30363 [quant-ph]

(or arXiv:2608.30363v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.30363 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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