Advantage of flexible catalysis for entanglement and quantum thermodynamics

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Hauptverfasser: Ao, Jingsong, Philip, Aby, Streltsov, Alexander
Format: Preprint
Veröffentlicht: 2026
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author Ao, Jingsong
Philip, Aby
Streltsov, Alexander
author_facet Ao, Jingsong
Philip, Aby
Streltsov, Alexander
contents Understanding the fundamental limits of state convertibility is crucial for establishing the boundaries of quantum information processing and thermodynamic efficiency. While auxiliary systems, catalysts, can facilitate otherwise impossible transformations, standard catalysis rigidly requires the auxiliary system to return to its exact initial state. In this work, we investigate the power of flexible catalysis, where the catalyst evolves through a cycle of states, restoring its initial configuration only after a finite number of steps. Focusing on the regime of fixed, finite dimensions, we analyze the capabilities of flexible catalysis within the resource theories of entanglement and quantum thermodynamics. In the context of entanglement, we derive conditions limiting flexible catalysts and demonstrate that they offer a strict advantage in the success probability of stochastic local operations and classical communication. Conversely, in quantum thermodynamics, we prove that flexible catalysis strictly outperforms standard catalysis even in deterministic settings. We provide an example identifying state transformations that are impossible with any standard catalyst of fixed dimension and Hamiltonian but become achievable via a flexible cycle.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05146
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Advantage of flexible catalysis for entanglement and quantum thermodynamics
Ao, Jingsong
Philip, Aby
Streltsov, Alexander
Quantum Physics
Understanding the fundamental limits of state convertibility is crucial for establishing the boundaries of quantum information processing and thermodynamic efficiency. While auxiliary systems, catalysts, can facilitate otherwise impossible transformations, standard catalysis rigidly requires the auxiliary system to return to its exact initial state. In this work, we investigate the power of flexible catalysis, where the catalyst evolves through a cycle of states, restoring its initial configuration only after a finite number of steps. Focusing on the regime of fixed, finite dimensions, we analyze the capabilities of flexible catalysis within the resource theories of entanglement and quantum thermodynamics. In the context of entanglement, we derive conditions limiting flexible catalysts and demonstrate that they offer a strict advantage in the success probability of stochastic local operations and classical communication. Conversely, in quantum thermodynamics, we prove that flexible catalysis strictly outperforms standard catalysis even in deterministic settings. We provide an example identifying state transformations that are impossible with any standard catalyst of fixed dimension and Hamiltonian but become achievable via a flexible cycle.
title Advantage of flexible catalysis for entanglement and quantum thermodynamics
topic Quantum Physics
url https://arxiv.org/abs/2603.05146