Understanding Quantum Imaginary Time Evolution and its Variational form

2025/10/02 by Anglés-Castillo, Andreu, Ion, Luca, Pandit, Tanmoy +3 · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2510.02015

Abstract

Many computationally hard problems can be encoded in quantum Hamiltonians. The solution to these problems is given by the ground states of these Hamiltonians. A state-of-the-art algorithm for finding the ground state of a Hamiltonian is the so-called Quantum Imaginary Time Evolution (QITE) which approximates imaginary time evolution by a unitary evolution that can be implemented in quantum hardware. In this paper, we review the original algorithm together with a comprehensive computer program, as well as, the variational version of it.

Citations

• Paulihedral: A Generalized Block-Wise Compiler Optimization Framework For Quantum Simulation Kernels
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• A Quantum Approximate Optimization Algorithm

Cited by

• Adaptive time Compressed QITE (ACQ) and its geometrical interpretation

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