Tata Institute of Fundamental Research
Introduction and Some Properties of Unitary t-designs
STCS Student Seminar
Speaker:
Gowtham Raghunath Kurri
Organiser:
Girish Varma
Date:
Thursday, 7 May 2015, 14:00 to 15:30
Venue:
A-212 (STCS Seminar Room)
(Scan to add to calendar)
Abstract:
Abstract: When studying ''random" operators it is essential to be able to integrate over the Haar measure. Unitary t-designs which have many applications in Quantum information theory provide a method to simplify integrating polynomials of degree less than 't' over U(d) by replacing the averages over haar measure by the averages over a finite set. We see an explicit construction of a 1-design and use it to prove that t-designs are non-commuting.
| Speaker: | Gowtham Raghunath Kurri |
| Organiser: | Girish Varma |
| Date: | Thursday, 7 May 2015, 14:00 to 15:30 |
| Venue: | A-212 (STCS Seminar Room) |
(Scan to add to calendar)
Abstract:
Abstract: When studying ''random" operators it is essential to be able to integrate over the Haar measure. Unitary t-designs which have many applications in Quantum information theory provide a method to simplify integrating polynomials of degree less than 't' over U(d) by replacing the averages over haar measure by the averages over a finite set. We see an explicit construction of a 1-design and use it to prove that t-designs are non-commuting.