The power of quantum catalytic local operations
quant-ph, math-ph, math.MP
Submitted: 2025-10-09
Updated: 2026-09-17
Comments: 5 pages, 2 figures
Journal ref: Phys. Rev. A 113, 062216 (2026)
DOI: 10.1103/4cjg-tkzg
License: http://creativecommons.org/licenses/by/4.0/
The gist: A key result in entanglement theory is that the addition of a catalyst dramatically enlarges the set of possible state transformations via local operations and classical communication (LOCC).
Terminology
Abstract
A key result in entanglement theory is that the addition of a catalyst dramatically enlarges the set of possible state transformations via local operations and classical communication (LOCC). However, it remains unclear what is the interplay between classical communication and quantum catalysis. Here our aim is to disentangle the effect of the catalyst from that of classical communication. To do so, we explore a class of state transformations termed catalytic local operations (CLO) and compare it to LOCC and to stochastic LOCC augmented by bounded quantum communication. We show that these classes are incomparable and capture different facets of quantum state transformations.
Sources
- Quantum Resource Theories
- Bell nonlocality
- The classical-quantum boundary for correlations: discord and related measures
- Quantum Steering
- Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
- Entanglement-assisted local manipulation of pure quantum states
- Exact and Asymptotic Measures of Multipartite Pure State Entanglement
- Catalysis of entanglement manipulation for mixed states
- Multiple-copy entanglement transformation and entanglement catalysis
- Catalytic Transformations of Pure Entangled States
- Fundamental Limits on Correlated Catalytic State Transformations
- Catalysis in Quantum Information Theory
- Catalysis of entanglement and other quantum resources
- Catalytic Activation of Bell Nonlocality
- Third Law of Thermodynamics as a Single Inequality
- Catalytic leverage of correlations and mitigation of dissipation in Information erasure
- Quantum thermodynamics of correlated-catalytic state conversion at small-scale
- The second laws of quantum thermodynamics
- Catalytic quantum teleportation and beyond
- A Schmidt number for density matrices
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