Fractal Fidelity as a signature of Quantum Chaos
arXiv:quant-ph/0701044 · doi:10.1103/PhysRevA.76.052327
Abstract
We analyze the fidelity of a quantum simulation and we show that it displays fractal fluctuations iff the simulated dynamics is chaotic. This analysis allows us to investigate a given simulated dynamics without any prior knowledge. In the case of integrable dynamics, the appearance of fidelity fractal fluctuations is a signal of a highly corrupted simulation. We conjecture that fidelity fractal fluctuations are a signature of the appearance of quantum chaos. Our analysis can be realized already by a few qubit quantum processor.
5 pages, 5 figures
References in corpus (5)
- Is efficiency of classical simulations of quantum dynamics related to integrability?
- From perfect to fractal transmission in spin chains
- Quantum Computing of Quantum Chaos in the Kicked Rotator Model
- Decoherence by engineered quantum baths
- Statistical properties of eigenvalues for an operating quantum computer with static imperfections