# Remarks on the preservation of no-signaling principle in parity-time-symmetric quantum mechanics

## TL;DR

This paper investigates whether the no-signaling principle is preserved in parity-time-symmetric quantum mechanics, showing that in simple bipartite systems, entanglement does not lead to signaling violations.

## Contribution

It demonstrates that the no-signaling principle can hold in parity-time-symmetric quantum mechanics for bipartite systems, using reduced density matrix analysis.

## Key findings

- No violation of no-signaling in simple bipartite systems
- Reduced density matrix remains unchanged, preserving entropy
- Supports consistency of parity-time-symmetric quantum mechanics with fundamental principles

## Abstract

Working within the framework of parity-time-symmetric quantum mechanics we look into the possibility of entanglement generation and demonstrate that the feature of non-violation of no-signaling principle may hold for the simplest non-trivial case of bipartite systems. Basically our arguments are based on the computation of the reduced density matrix of one party to justify that the entropy of the other does not change.