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ID559
First NameJack
Last NameRausch
InstitutionCreighton University
Speaker Categoryundergraduate student
Title of TalkDeveloping a Quantum Resource Theory for One-Way Information
AbstractIn quantum information theory, the one-way information of the joint evolution of a composite system quantifies the causal relationship between systems. Given a composite two systems, an algorithm is used to create a state $\rho^{A'ABB'} $ which quantifies the one-way information via the measure $R\left(\rho^{A'ABB'} \right) = I\left(\rho^{B} : \rho^{A'AB'} \right) - I\left(\rho^{B} : \rho^{B'} \right)$. A quantum resource theory offers a new perspective to view one-way information. A quantum resource theory examines a problem under a set of physically meaningful limitations which identify certain operations as free (can be used without limitations) and others as resources (operations with limitations or costs). We define a quantum resource theory for one-way information based on the measure $R\left(\rho^{A'ABB'} \right)$, showing that: $R$ is an additive measure, all free states contain $0$ one-way information, the free operations contain all unitary operators $U_{AB} = U_A \otimes U_B$, and $R$ is monotonic under free operations, but not under the restricted operations.
Subject area(s)Quantum Information Theory, Quantum Computing
Suitable for undergraduates?Y
Day PreferenceSaturdayStrong
Computer Needed?Y
Bringing a laptop?Y
Overhead Needed?N
Software requests
Special Needs
Date Submitted09/13/2021
Year2021