Afham

PhD-ing instead of Age of Empires-ing.
Here and there (delocalized?) in quantum computing theory.
University of Technology Sydney.
IISER-M alum.
Malayali.

[Afham @afhamash]

My first PhD preprint, in collaboration with @RichardKueng and @csferrie, is out on arXiv! We show how to maximize average fidelity over arbitrary finite ensembles of quantum states.

https://t.co/zZzWwwv6dB
https://t.co/qZhHRlmHbe

[Afham @afhamash]

Does the existence of an orthonormal basis imply the existence of a paranormal basis?
.
.
.
Yes. But it's all imaginary.

[Afham @afhamash]

Our results shed new light on quantum fidelities and their connection to the Bures-Wasserstein geometry, the Lie group SU(d), and more.

These and more, including many open problems, can be found in the paper, so check it out!

https://t.co/Ey64l5xhZh
https://t.co/BEdMABst5X

[Afham @afhamash]

New paper with @csferrie out! We define and study Generalized fidelity, which recovers Uhlmann-, Holevo- and Matsumoto fidelity, at different values of a positive definite parameter R > 0 -- the base.

https://t.co/Ey64l5xhZh
https://t.co/BEdMABst5X

[Afham @afhamash]

Finally, we demonstrate that the same formalism could be extended to quantum Renyi divergences too.

[Afham @afhamash]

New paper with @csferrie is out now!

https://t.co/Ey64l5xhZh
https://t.co/BEdMABst5X

We introduce generalized fidelity, which can recover Uhlmann-, Holevo-, and Matsumoto fidelity depending on a PD matrix parameter called 'base'.

Twitter thread explainer soon.

[Chris Ferrie @csferrie]

I told @afhamash if he titled his paper "Riemannian-geometric generalizations of quantum fidelities and Bures-Wasserstein distance" nearly everyone would read it.

Don't prove me wrong!

https://t.co/t8KYP4pOen

[Afham @afhamash]

@QuantumMemeing @markwilde Looks like its CV updating time.

[Afham @afhamash]

That time of the year again.

[Afham @afhamash]

My face (dead inside) as I try to finish simulations for the paper before the deadline.

[Afham @afhamash]

Them: "Hey, I've heard you moved into a new place. How is the neighborhood?"
Me: "Oh it's great. Between every pair of points there is a constant-speed distance minimizing geodesic"
Them: "..."
Me: "It's a totally normal neighborhood."

[Quantum Computing Memes for QMA-Complete Teens @QuantumMemeing]

okay homies, it's time to do a salary survey for quantum computing.

how much do you make, where are you based, and who do you work for?

at the end, I'll compile the results and post it on here!

https://t.co/V0Hy0fHD9O

[Afham @afhamash]

@markwilde Thanks for pointing your wonderful paper and citing our paper! I did go through your paper when it came online, but I guess I missed the discussion on z-fidelities.

[Afham @afhamash]

There are 3 'named' quantizations of classical fidelity: Uhlmann fidelity, Holevo fidelity, and Matsumoto (geometric-mean) fidelity.
Are there any other known quantizations of classical fidelity?
Quantization <==> if the states commute, it must reduce to classical fidelity.