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#### Event Title

#### Event Type

Research Presentation

#### Academic Department

Mathematics and Statistics

#### Location

Dana Science Building, 2nd floor

#### Start Date

14-4-2023 1:30 PM

#### End Date

14-4-2023 3:00 PM

#### Description

Under the direction of Dr. Molly Lynch

The 2022 Nobel Prize in Physics was awarded to three physicists Alain Aspect, John Clauser and Anton Zeilinger for experiments in quantum mechanics that involved the study of a phenomenon known as quantum entanglement. When Albert Einstein found out quantum information had seemingly traveled faster than the speed of light, he believed that the basic foundational principle on which quantum mechanics stood must be flawed and incomplete and he named the phenomena “Spooky action at a distance.” However, the three 2022 Nobel Prize in Physics recipients' combined experiments demonstrated that entanglement, a strange quantum phenomenon in which two widely separated particles appear to share information while having no logical methods of communication, is more than just spooky activity at a distance. Quantum entanglement is a phenomenon where two or more quantum systems become correlated in such a way that the state of each system cannot be described independently of the others, even when they are physically separated by a large distance. This means that if you measure the state of one system, it immediately affects the state of the other, regardless of the distance between them. In this project “The mathematics behind quantum entanglement” we begin by understanding the basics of quantum mechanics and exploring the mathematics used in quantum mechanics. In doing so, we explain how complex numbers and linear algebra play a key role in the description of quantum mechanics. Following that we study the mathematics behind quantum entanglement, which involves something known as the tensor product. Mathematics and physics are highly correlated and intertwined fields, with each providing important insights and tools that help us understand the natural world. Physics relies heavily on mathematical modeling and analysis to formulate theories and laws that explain the behavior of the universe. The goal of this project is to understand quantum entanglement and the math behind it together to gain a deeper understanding of both subjects and how they relate to each other.

The Mathematics behind Quantum Entanglement

Dana Science Building, 2nd floor

Under the direction of Dr. Molly Lynch

The 2022 Nobel Prize in Physics was awarded to three physicists Alain Aspect, John Clauser and Anton Zeilinger for experiments in quantum mechanics that involved the study of a phenomenon known as quantum entanglement. When Albert Einstein found out quantum information had seemingly traveled faster than the speed of light, he believed that the basic foundational principle on which quantum mechanics stood must be flawed and incomplete and he named the phenomena “Spooky action at a distance.” However, the three 2022 Nobel Prize in Physics recipients' combined experiments demonstrated that entanglement, a strange quantum phenomenon in which two widely separated particles appear to share information while having no logical methods of communication, is more than just spooky activity at a distance. Quantum entanglement is a phenomenon where two or more quantum systems become correlated in such a way that the state of each system cannot be described independently of the others, even when they are physically separated by a large distance. This means that if you measure the state of one system, it immediately affects the state of the other, regardless of the distance between them. In this project “The mathematics behind quantum entanglement” we begin by understanding the basics of quantum mechanics and exploring the mathematics used in quantum mechanics. In doing so, we explain how complex numbers and linear algebra play a key role in the description of quantum mechanics. Following that we study the mathematics behind quantum entanglement, which involves something known as the tensor product. Mathematics and physics are highly correlated and intertwined fields, with each providing important insights and tools that help us understand the natural world. Physics relies heavily on mathematical modeling and analysis to formulate theories and laws that explain the behavior of the universe. The goal of this project is to understand quantum entanglement and the math behind it together to gain a deeper understanding of both subjects and how they relate to each other.