Catalytic Activation of Bell Nonlocality
arXiv:2504.02042 · doi:10.1103/5dth-7zm8
Abstract
The correlations of certain entangled states can be perfectly simulated classically via a local model. Hence such states are termed Bell local, as they cannot lead to Bell inequality violation. Here, we show that Bell nonlocality can nevertheless be activated for certain Bell-local states via a catalytic process. Specifically, we present a protocol where a Bell-local state, combined with a catalyst, is transformed into a Bell-nonlocal state while the catalyst is returned exactly in its initial state. Importantly, this transformation is deterministic and based only on local operations. Moreover, this procedure is possible even when the state of the catalyst is itself Bell local, demonstrating a new form of superactivation of Bell nonlocality, as well as an interesting form of quantum catalysis. On the technical level, our main tool is a formal connection between catalytic activation and many-copy activation.
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References in corpus (41)
- Bell nonlocality
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- The second laws of quantum thermodynamics
- Catalytic Coherence
- Probabilistic theories with purification
- Bell's inequalities and density matrices. Revealing hidden nonlocality.
- Self-testing of quantum systems: a review
- Entanglement-assisted local manipulation of pure quantum states
- Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality
- Grothendieck's constant and local models for noisy entangled quantum states
- Embezzling Entangled Quantum States
- Genuine hidden quantum nonlocality
- Super-activation of quantum non-locality
- All bipartite entangled states display some hidden nonlocality
- Quantum networks reveal quantum nonlocality
- Catalytic Conversion Probabilities for Bipartite Pure States
- Necessary and Sufficient Conditions for the Trumping Relation
- All quantum states useful for teleportation are nonlocal resources
- Entanglement swapping of noisy states: A kind of superadditivity in nonclassicality
- Catalytic quantum teleportation and beyond
- Limits to catalysis in quantum thermodynamics
- Genuinely multipartite entangled quantum states with fully local hidden variable models and hidden multipartite nonlocality
- Entanglement and nonlocality are inequivalent for any number of particles
- Coherence and asymmetry cannot be broadcast
- Third Law of Thermodynamics as a Single Inequality
- Activation of Non-Local Quantum Resources
- Entanglement without hidden nonlocality
- Catalysis of entanglement and other quantum resources
- Multiple-copy entanglement transformation and entanglement catalysis
- Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
- Nonlocality tests enhanced by a third observer
- Activating hidden metrological usefulness
- Is coherence catalytic?
- Exact Steering Bound for Two-Qubit Werner States
- Asymptotic survival of genuine multipartite entanglement in noisy quantum networks depends on the topology
- Activation of metrologically useful genuine multipartite entanglement
- Compatibility of Generalized Noisy Qubit Measurements
- Single-copy activation of Bell nonlocality via broadcasting of quantum states
- Catalytic and asymptotic equivalence for quantum entanglement
- Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios