View Proposal #559
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ID | 559 |
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First Name | Jack |
Last Name | Rausch |
Institution | Creighton University |
Speaker Category | undergraduate student |
Title of Talk | Developing a Quantum Resource Theory for One-Way Information |
Abstract | In 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 Preference | SaturdayStrong |
Computer Needed? | Y |
Bringing a laptop? | Y |
Overhead Needed? | N |
Software requests | |
Special Needs | |
Date Submitted | 09/13/2021 |
Year | 2021 |