A Lanczos approach to the Adiabatic Gauge Potential

• DOI: 10.48550/arxiv.2302.07228
• Publication Date: 2023-01-01
• Authors: Budhaditya Bhatta...
• Keywords: Operator (biology); Operator norm; Adiabatic Quantum Computation

The Adiabatic Gauge Potential (AGP) is the generator of adiabatic deformations between quantum eigenstates. There are many ways to construct AGP operator and evaluate norm. Recently, it was proposed that a Gram-Schmidt-type algorithm can be used explicitly expression AGP. We employ version this approach by using Lanczos in terms Krylov vectors norm coefficients. It has advantage minimizing redundancies evaluating nested commutators analytic for operator. some simple systems. derive an integral transform relation autocorrelation function deformation present modification Variational regulated Using this, we approximate varying degrees success. Finally, compare contrast quantum-chaos-probing capacities K-complexity view Operator Growth Hypothesis.