Interference Engineering for Quantum Imaginary-Time Evolution through Multiple Energy Shifts

Abstract:Energy shifting is usually trivial in imaginary-time evolution because it changes only the normalization of the evolved state. On a quantum computer, however, imaginary-time evolution can be implemented as a coherent or sampled superposition of real-time evolutions, in which energy shifts generate relative phases that can interfere. Here we introduce multi-shift quantum imaginary-time evolution (MS-QITE), which uses a distribution of energy shifts to engineer interference and optimize different implementations. In a Monte Carlo realization, multi-shift reshapes the sampling distribution and concentrates it within a shorter real-time window, thereby reducing the required Hamiltonian-evolution time and improving the stability of ground-state-energy estimation. In a continuous-variable-assisted realization, it permits postselection over a finite quadrature interval rather than near a single quadrature value, substantially reducing resource consumption while retaining accurate thermal-state preparation. Numerical results for transverse-field Ising models demonstrate that energy shifts provide a useful interference-based approach for optimizing quantum imaginary-time evolution.

arXiv:2608.17792 [quant-ph]

(or arXiv:2608.17792v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.17792 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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