Questions tagged [t-designs]

For questions about quantum t-designs: probability distributions over states or unitaries that replicate specific properties of the Haar distribution.

Filter by
Sorted by
Tagged with
1 vote
1 answer
22 views

Proof of equivalence between Welch-bound-based and frame-potential-based definitions of t-designs

Let $X\subset\mathbb{C}^d$ be a (finite, non-empty) set of unit vectors. A standard way to define $X$ being a spherical $t$-design, is to impose it saturates the Welch bounds for all $k\le t$. ...
glS's user avatar
  • 22.8k