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

Fuente: arXiv
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Autore principale: Bagchi, Shrobona
Natura: Preprint
Pubblicazione: 2024
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author Bagchi, Shrobona
author_facet Bagchi, Shrobona
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_04930
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Concurrence speed limit and its connection with bounds in many body physics
Bagchi, Shrobona
Quantum Physics
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.
title Concurrence speed limit and its connection with bounds in many body physics
topic Quantum Physics
url https://arxiv.org/abs/2411.04930