# Quantum Process Randomness

## TL;DR

This paper explores how minimizing measurement randomness in quantum processes like cloning and teleportation affects their optimization, revealing that maximizing fidelity and minimizing randomness lead to different optimal processes.

## Contribution

It introduces a measure of quantum process randomness and analyzes its impact on optimizing quantum cloning and teleportation, highlighting differences from fidelity-based optimization.

## Key findings

- Optimal cloning by maximizing fidelity differs from minimizing randomness.
- Minimizing randomness does not necessarily maximize process fidelity.
- The proposed randomness measure provides new insights into quantum process optimization.

## Abstract

We study the optimization of any quantum process by minimizing the "randomness" in the measurement result at the output of that quantum process. We conceptualize and propose a measure of such randomness and inquire whether an optimization of the quantum process based on that measure, can reach the point where the process operates with maximum fidelity. We consider approximate quantum cloning and teleportation processes, and find, in particular, that the optimal approximate state-dependent quantum cloning machine obtained by maximizing the fidelity is different from that obtained by minimizing the randomness.