Farzin Salek

Appreciate the gracious invitation and a wonderful conference!

Efficiently computing the Uhlmann fidelity for density matrices We consider the problem of efficiently computing the Uhlmann fidelity in the case when explicit density matrix descriptions are available. We derive an alternative formula which is simpler to evaluate...

The fidelity

F(ρ,σ) = tr[√(√(ρ)σ√(ρ))] = ||√(ρ)√(σ)||_1

of two quantum states ρ and σ can also be expressed as

F(ρ,σ) = tr(√(ρσ)).

Not sure how well-known this is! It is proved in arxiv.org/abs/2211.02623 (or the older arxiv.org/abs/1503.00304).

When in Canada, use a hockey stick! @markwilde.bsky.social delivers his talk on quantum hypothesis exclusion at the Perimeter Institute with a true Canadian twist 🏒