Hypothesis testing with open quantum systems

TL;DR

This paper develops a quantum circuit-based framework to determine the maximum distinguishability of candidate Hamiltonians for open quantum systems, leveraging continuous measurement records to extract optimal information about system-environment interactions.

Contribution

It introduces a novel theoretical approach to quantify the ultimate limits of Hamiltonian identification in open quantum systems using continuous measurements.

Findings

Derived the maximal distinguishability of Hamiltonians in open quantum systems.

Provided a method to extract maximum information from continuous quantum measurement records.

Established bounds on system identification accuracy in the presence of environment coupling.

Abstract

Using a quantum circuit model we derive the maximal ability to distinguish which of several candidate Hamiltonians describe an open quantum system. This theory, in particular, provides the maximum information retrievable from continuous quantum measurement records, available when a quantum system is perturbatively coupled to a broadband quantized environment.