New preprint released: “Variational Time Evolution Compression for Solving Impurity Models on Quantum Hardware”
Stefan Wolf, Martin Eckstein and Michael J. Hartmann have published a new pre-print on the arXiv: “Variational Time Evolution Compression for Solving Impurity Models on Quantum Hardware”.
In this paper we introduce an improved version of a variational time evolution compression algorithm designed to solve impurity models on quantum computers, an important task in condensed matter physics. The work focuses on the single impurity Anderson model, going beyond earlier studies by addressing more general cases with multiple bath sites and variable filling.
The core of this approach is a hybrid quantum-classical algorithm that significantly reduces the quantum circuit depth required for time evolution. Instead of using a long series of Trotter steps, the algorithm trains a shallow, constant-depth quantum circuit to approximate the time evolution operator. We also demonstrate that the required circuit depth scales polynomially with the number of bath sites, offering a considerable advantage over standard Trotterization.