Repeatable procedures and maps in open quantum dynamics

TL;DR

This paper explores the distinction between repeatable mathematical maps and their physical implementations in open quantum dynamics involving qubits, highlighting that not all repeatable maps can be physically realized.

Contribution

It demonstrates that certain repeatable maps in open quantum systems cannot be physically implemented, despite being mathematically well-defined.

Findings

Mathematical maps can be repeatable without physical realizability

Examples involve open quantum dynamics of two interacting qubits

Physical procedures may not replicate all repeatable maps

Abstract

Examples of repeatable procedures and maps are found in the open quantum dynamics of one qubit that interacts with another qubit. They show that a mathematical map that is repeatable can be made by a physical procedure that is not.