Here is our paper: enjoy!!!

scirate.com/arxiv/2507.1...

I'm so happy that this piece is finally out there for all the quantum thermodynamics and information theory enthusiasts. Not to mention, it's great fun to work with friends whom I always learn so much from. Thanks Seokhyung, @perp-waterfall.bsky.social, Paul Boes, @arrr.de for the fun journey ❤️

We learnt that thermal operations strike a really sweet spot between encompassing non-Markovian effects in the form of robust catalysis, therefore favouring it over subsets of the theory. At the same, any other superset of the theory would require a non-equilibrium environment!

Robust Catalysis and Resource Broadcasting: The Possible and the Impossible In resource theories, catalysis refers to the possibility of enabling otherwise inaccessible quantum state transitions by providing the agent with an auxiliary system, under the condition that this au...

Years down the road, Jeongrak and I were trying to figure out whether robust catalytic advantage exists for thermal operations. We then realized that the conceptual key was hidden in those early, unannounced results by our friends all along!
arxiv.org/abs/2412.06900

This project was a loooong time in the making. It started with Henrik, Paul, and Seok Hyung studying how catalytic channels enter the hierarchy of unital maps, and induce a rich structure. The central insight that equilibrating maps single out thermal operations was established then.

Whether or not you're a fan of thermal operations, there's something fundamentally special about them: by pinning down what it means to equilibrate, thermal operations uniquely emerge! With this, we also uncover nice hierarchy of unital channels, in contrast with the classical Birkhoff theorem.

Thermal operations from informational equilibrium Thermal operations are quantum channels that have taken a prominent role in deriving fundamental thermodynamic limitations in quantum systems. We show that these channels are uniquely characterized by...

Here is the paper: enjoy!
scirate.com/arxiv/2507.1...

I'm so happy that this piece is finally out there for all the quantum thermodynamics and information theory enthusiasts not to mention, it'S great fun to work with friends whom lalways learn so much from. Thanks Seokhyung, @perp-waterfall.bsky.social, Paul Boes, @arrr.de for the fun journey ❤️

We learnt that thermal operations strike a sweet spot between encompassing non-Markovian effects in the form of robust catalysis, therefore favouring it over subsets of the theory. At the same, any other superset of the theory would require a non-equilibrium environment!

Robust Catalysis and Resource Broadcasting: The Possible and the Impossible In resource theories, catalysis refers to the possibility of enabling otherwise inaccessible quantum state transitions by providing the agent with an auxiliary system, under the condition that this au...

Years down the road, Jeongrak and I were puzzling over whether robust catalytic advantage exists for thermal operations, only to realize the conceptual key was hidden in those early, unpublished results all along
arxiv.org/abs/2412.06900

This project was a loooong time in the making. > started with Henrik, Paul, and Seok Hyung studying how catalytic channels enter the hierarchy of unital maps, and induce richer structure. The understanding 2 that equilibrating channels single out thermal operations was established then.

I'm so happy that this piece is finally out there for all the quantum thermodynamics and information theory enthusiasts not to mention, it's great fun to work with friends whom Ialways learn so much from. Thanks Seokhyung, @perp-waterfall.bsky.social, Paul Boes, @arrr.de for the fun journey ❤️

We learnt that thermal operations strike a sweet spot between encompassing non-Markovian effects in the form of robust catalysis, therefore favouring it over subsets of the theory. At the same, any other superset of the theory would require a non-equilibrium environment!

Robust Catalysis and Resource Broadcasting: The Possible and the Impossible In resource theories, catalysis refers to the possibility of enabling otherwise inaccessible quantum state transitions by providing the agent with an auxiliary system, under the condition that this au...

Years down the road, Jeongrak and I were puzzling over whether robust catalytic advantage exists for thermal operations, only to realize the conceptual key was hidden in those early, unpublished results all along
arxiv.org/abs/2412.06900

This project was a loooong time in the making. It started with Henrik, Paul, and Seok Hyung studying how catalytic channels enter the hierarchy of unital maps, and induce a richer structure. The understanding that equilibrating channels single out thermal operations was established then.

Thermal operations from informational equilibrium Thermal operations are quantum channels that have taken a prominent role in deriving fundamental thermodynamic limitations in quantum systems. We show that these channels are uniquely characterized by...

Here is the paper: enjoy!!!
scirate.com/arxiv/2507.1...

I’m so happy that this piece is finally out there for all the quantum thermodynamics and information theory enthusiasts 😉 not to mention, it's great fun to work with friends whom I always learn so much from. Thanks Seokhyung, @perp-waterfall.bsky.social , Paul Boes, @arrr.de for the fun journey ❤️

Robust Catalysis and Resource Broadcasting: The Possible and the Impossible In resource theories, catalysis refers to the possibility of enabling otherwise inaccessible quantum state transitions by providing the agent with an auxiliary system, under the condition that this au...

Years down the road, Jeongrak and I were puzzling over whether robust catalytic advantage exists for thermal operations, only to realize the conceptual key was hidden in those early, unpublished results all along

arxiv.org/abs/2412.06900

This project was a loooong time in the making. It started with Henrik, Paul, and Seok Hyung studying how catalytic channels enter the hierarchy of unital maps, and induce a richer structure. The understanding that equilibrating channels single out thermal operations was established then.

The culmination of a series of papers on DBQAs :)

Our Grover preprint just popped up! (with Yudai Suzuki, @qzoeholmes.bsky.social, @marekgluza.mathstodon.xyz.ap.brid.gy, @nellynghy.bsky.social, @perp-waterfall.bsky.social)

Turns out… Grover's algorithm is secretly moonlighting as a first-order approximation to the imaginary time evolution!

Today we posted a paper showing how a double-bracket quantum algorithm can implement quantum signal processing (DB-QSP), i.e., apply polynomial functions of operators to states.

Crucially our approach doesn't need any post-selection - but this comes at the expense of increased circuit depths.

We put out a systematic study on the extent of robust catalysis! This work was a wonderful experience for me, I hope you'll like it too. Check it out at scirate.com/arxiv/2412.0... !