IQUIST Young Researchers Seminar: Sujeet Bhalerao, Leditzky Group
- Event Type
- Seminar/Symposium
- Sponsor
- IQUIST
- Location
- 190 Engineering Sciences Building, 1101 W Springfield Ave, Urbana, IL 61801
- Date
- Apr 17, 2024 11:00 - 11:50 am
- Speaker
- Sujeet Bhalerao, Leditzky Group
- Contact
- Wolfgang Pfaff
- wpfaff@illinois.edu
- Views
- 117
- Originating Calendar
- IQUIST Young Researchers Seminar
Permutation-invariant quantum codes
Abstract: The quantum capacity of a quantum channel characterizes the optimal rate at which entanglement can be generated between two parties connected by the channel. The only known formula for the quantum capacity of a channel involves an unbounded, non-convex optimization problem that is generally intractable to solve. This talk will be about an approach to approximating the solution to this optimization problem for a fixed channel using symmetric input states, which involves the use of representation theory. For physically relevant 1-parameter families of channels, the use of symmetric codes significantly reduces the complexity of computing the parameter value at which the quantum capacity vanishes.
Student Information: Sujeet Bhalerao is a 4th year math graduate student working for Felix Leditzky researching quantum channels and their capacities.