Concurrence speed limit and its connection with bounds in many body physics

TL;DR

This paper establishes a quantum speed limit for the evolution of concurrence in mixed two-qubit states, linking quantum information theory with many-body physics through bounds like Lieb-Robinson.

Contribution

It derives a new speed limit bound for quantum correlations (concurrence) in mixed states, connecting quantum information measures with many-body physics bounds.

Findings

Derived a minimum time for entanglement evolution in mixed states.

Connected quantum correlation speed limits with Lieb-Robinson bounds.

Provides a framework linking quantum information and condensed matter physics.

Abstract

Quantum speed limit is a fundamental speed limit for the evolution of quantum states. It is the single-most important interpretation of the time energy uncertainty relation. Recently the speed limit of quantum correlations have been proposed like the concurrence for pure quantum states. In this direction, we derive a speed limit bound for a quantum correlation named the concurrence for the generally mixed quantum states of two qubits. By this we mean that we find an expression for the minimum time required to reach a given value of entanglement starting from an arbitrary initial generally mixed state. We discuss the connection of the findings of this article in the interdisciplinary area of the condensed matter physics or the many body physics and quantum information science such as on the topic of Lieb-Robinson bound in a quantitative manner.