Some Remarks on Quantum Brachistochrone

TL;DR

This paper explores the Quantum Brachistochrone problem, examining its physical realizability, especially in pseudo Hermitian contexts, and discusses its implications for quantum gate operations and informational invariants.

Contribution

It provides new insights into the physical feasibility of pseudo Hermitian quantum evolutions and their informational interpretation.

Findings

Pseudo Hermitian versions can be physically realizable under certain conditions

Supports an informational interpretation invariant under quasi Hermitian transformations

Analyzes simple quantum gates within the Quantum Brachistochrone framework

Abstract

We study some aspects of the Quantum Brachistochrone Problem. Physical realizability of the faster pseudo Hermitian version of the problem is also discussed. This analysis, applied to simple quantum gates, supports an informational interpretation of the problem that is quasi Hermitian invariant.