# Understanding Entanglement for Quantum States

## Session Number

CMPS 10

## Advisor(s)

Dr. Zain Saleem, Argonne National Laboratory

## Discipline

Computer Science

## Start Date

17-4-2024 10:45 AM

## End Date

17-4-2024 11:00 AM

## Abstract

Entanglement is a fundamental concept in quantum mechanics that describes when two particles are intrinsically correlated and that one of the particles cannot be described without the others. The phenomenon of entanglement is not well understood by physicists. However, we may be able to better understand its behaviors by quantifying entanglement through entanglement measures. Entanglement measures aim to quantify the degree of entanglement, which are particularly useful when considering mixed states. In our study, we studied two entanglement measures in particular: entanglement entropy, which measures the number of Bell pairs to either create or can be extracted from the given state, and geometric measure of entanglement, which calculates the minimum distance from a given state to the set of separable states. Using the Python library QuTiP, we have implemented these two methods and analyzed the results of inputting different types of quantum states.

Understanding Entanglement for Quantum States

Entanglement is a fundamental concept in quantum mechanics that describes when two particles are intrinsically correlated and that one of the particles cannot be described without the others. The phenomenon of entanglement is not well understood by physicists. However, we may be able to better understand its behaviors by quantifying entanglement through entanglement measures. Entanglement measures aim to quantify the degree of entanglement, which are particularly useful when considering mixed states. In our study, we studied two entanglement measures in particular: entanglement entropy, which measures the number of Bell pairs to either create or can be extracted from the given state, and geometric measure of entanglement, which calculates the minimum distance from a given state to the set of separable states. Using the Python library QuTiP, we have implemented these two methods and analyzed the results of inputting different types of quantum states.