Quantifying channels output similarity with applications to quantum control

TL;DR

This paper introduces quantum channel superfidelity, a new measure to quantify output similarity of quantum channels, with applications in quantum control, providing an upper bound on channel fidelity expressed via Kraus operators.

Contribution

It presents the novel concept of quantum channel superfidelity and demonstrates its potential applications in quantum control scenarios.

Findings

Superfidelity provides an upper bound on quantum channel fidelity.

The measure is expressed using Kraus representations.

Potential applications in quantum control are illustrated.

Abstract

In this work we aim at quantifying quantum channel output similarity. In order to achieve this, we introduce the notion of quantum channel superfidelity, which gives us an upper bound on the quantum channel fidelity. This quantity is expressed in a clear form using the Kraus representation of a quantum channel. As examples, we show potential applications of this quantity in the quantum control field.