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Information Theory in Quantum Mechanics

Thomas Baker

Whether making a call on your cellphone or encrypting information to send to someone, information theory plays a critical role in both secret codes and making sure messages get from a sender to a receiver. There is a deep connection with the several fields in physics and information theory. The question I cover in this talk is how information theory plays a role in quantum physics. Inherently, quantum mechanics is uncertain, but we can quantify exactly how uncertain we are. By assigning a definitive meaning to the entropy in physics, we discover a pathway to generating algorithms that solve quantum systems. In this talk, I discuss how formulations of the density matrix, which is used to compute the quantum entanglement in a system can play a crucial role in algorithms for both classical and quantum computers.

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