# Entropy and Reversible Catalysis.

@article{Wilming2021EntropyAR, title={Entropy and Reversible Catalysis.}, author={Henrik Wilming}, journal={Physical review letters}, year={2021}, volume={127 26}, pages={ 260402 } }

I show that nondecreasing entropy provides a necessary and sufficient condition to convert the state of a physical system into a different state by a reversible transformation that acts on the system of interest and a further "catalyst," whose state has to remain invariant exactly in the transition. This statement is proven both in the case of finite-dimensional quantum mechanics, where von Neumann entropy is the relevant entropy, and in the case of systems whose states are described by…

## 10 Citations

Fundamental Limits on Correlated Catalytic State Transformations

- Chemistry
- 2021

Determining whether a given state can be transformed into a target state using free operations is one of the fundamental questions in the study of resources theories. Free operations in resource…

Catalytic Transformations of Pure Entangled States.

- Physics, Computer SciencePhysical review letters
- 2021

It is proved that entanglement entropy completely characterizes state transformations in the presence of entangled catalysts, giving asymptotic results an operational meaning also in the single-copy setup.

Transcendental properties of entropy-constrained sets

- Mathematics, Computer Science
- 2021

Applied to the von Neumann entropy, this work shows that its level sets are nowhere semialgebraic in dimension d ≥ 3, ruling out algebraic single-shot characterizations with finite ancilla (e.g., via catalytic transformations).

The refined quantum extremal surface prescription from the asymptotic equipartition property

- PhysicsQuantum
- 2022

Information-theoretic ideas have provided numerous insights in the progress of fundamental physics, especially in our pursuit of quantum gravity. In particular, the holographic entanglement entropy…

Catalytic Quantum Teleportation.

- PhysicsPhysical review letters
- 2021

It is shown, for the first time, that catalysis of entanglement can provide a genuine advantage in the task of quantum teleportation, and it is shown that this regularised quantifier surpasses the standard benchmark for a variety of quantum states.

Entanglement catalysis for quantum states and noisy channels

- Physics
- 2022

Many applications of the emerging quantum technologies, such as quantum teleportation and quantum key distribution, require singlets, maximally entangled states of two quantum bits. It is thus of…

Repeated Extraction of Scrambled Quantum Data: Sustainability of the Hayden-Preskill Type Protocols

- Computer Science
- 2022

It is shown that the limited hacking implies the reﬂectivity decay of a black hole as an information mirror, which questions the solvability of the black hole information paradox through the Hayden-Preskill type protocol.

Hacking Quantum Networks: Extraction and Installation of Quantum Data

- Computer Science
- 2021

It is shown that a properly prepared partially entangled probe state can generally outperform a maximally entangled one in quantum hacking, and it is proved that finding an optimal decoder for this stronger task is equivalent to that for Hayden–Preskill-type protocols.

Variance of Relative Surprisal as Single-Shot Quantifier

- Computer SciencePRX Quantum
- 2022

It is shown that the variance of (relative) surprisal gives genuine sufficient and necessary conditions for approximate single-shot state-transitions in generic resource theories without the need for further optimization.

Catalytic Entanglement

- Physics
- 2021

Quantum entanglement of pure states is usually quantified via the entanglement entropy, the von Neumann entropy of the reduced state. Entanglement entropy is closely related to entanglement…

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