Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states

TL;DR

This paper establishes an inequality linking single-qubit phase damping rates to the maximum phase damping rate of multi-qubit entangled states, based on Lindblad dynamics and population preservation assumptions.

Contribution

It introduces a theoretical bound connecting single-qubit and multi-qubit phase damping rates under specific physical assumptions.

Findings

Derived an inequality relating single-qubit and multi-qubit phase damping rates.

Shows that single-qubit damping rates limit the decoherence of entangled states.

Provides a theoretical framework for understanding decoherence in quantum systems.

Abstract

I derive an inequality in which the phase damping rates of single qubits set an upper bound for the phase damping rate of entangled states of many qubits. The derivation is based on two assumptions: first, that the phase damping can be described by a dissipator in Lindblad form and, second, that the phase damping preserves the population of qubit states in a given basis.