Catalytic Activation of Bell Nonlocality

• URL: http://arxiv.org/abs/2504.02042v1
• Date: Wed, 02 Apr 2025 18:02:44 GMT
• Title: Catalytic Activation of Bell Nonlocality
• Authors: Jessica Bavaresco, Nicolas Brunner, Antoine Girardin, Patryk Lipka-Bartosik, Pavel Sekatski,
• Abstract summary: We show that Bell nonlocality can be activated for certain Bell-local states via a catalytic process.<n>We present a protocol where a Bell-local state, combined with a catalyst, is transformed into a Bellnonlocal state while the catalyst is returned exactly in its initial state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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, which is of independent interest.

Related papers

• Catalytic entanglement transformations with noisy hardware [41.94295877935867]
  We benchmark catalytic EC against non-catalytic EC and distillation in the presence of state-preparation errors and operational errors.<n>We find that in the presence of low operational errors and depolarising noise, catalytic EC can provide better rates than distillation and non-catalytic EC.
  arXiv  Detail & Related papers  (2025-05-09T11:33:53Z)
• Quantum resource theory of Bell nonlocality in Hilbert space [0.0]
  We introduce a Hilbert space based resource theory of Bell nonlocality with the aim of providing bona fide measures of quantum nonlocality. We construct our theory by defining the set of local (or free) states, i.e., the states that do not violate the Clauser-Horne-Shimony-Holt inequality. We illustrate the general resource theory so developed by applying it to specific classes of quantum states, including two-qubit Werner states, Bell-diagonal states, and Bell-diagonal states at fixed convexity.
  arXiv  Detail & Related papers  (2023-11-03T14:26:58Z)
• Chiral Bell-state transfer via dissipative Liouvillian dynamics [10.66389042594859]
  Chiral state transfer along closed loops in the vicinity of an exceptional point is one of the many counter-intuitive observations in non-Hermitian physics. We demonstrate chiral state conversion between singlet and triplet Bell states through fully-quantum Liouvillian dynamics. We show that the removal of quantum jumps from the dynamics through postselection can result in near-perfect Bell states from initially separable states.
  arXiv  Detail & Related papers  (2023-10-17T16:24:41Z)
• Nonlocality activation in a photonic quantum network [0.44270590458998854]
  Bell nonlocality is crucial for device-independent technologies like quantum key distribution and randomness generation. We show that single copies of Bell-local states can give rise to nonlocality after being embedded into a quantum network of multiple parties. Our findings have fundamental implications for nonlocality and enable the practical use of nonlocal correlations in real-world applications.
  arXiv  Detail & Related papers  (2023-09-12T18:14:49Z)
• Certifying the activation of Bell nonlocality with finite data [0.0]
  We introduce a confidence polytope in the form of a hyperoctahedron to verify whether a quantum state admits a local hidden state model.<n>We find that a statistically rigorous certification of hidden Bell nonlocality needs of the order of $109$ samples.
  arXiv  Detail & Related papers  (2023-05-05T18:00:00Z)
• No-go theorem for entanglement distillation using catalysis [49.24817625059456]
  We show that catalytic transformations can never allow for the distillation of entanglement from a bound entangled state. This precludes the possibility that entanglement theoryally reversible based operations under even permissive choices.
  arXiv  Detail & Related papers  (2023-05-05T12:57:59Z)
• Catalytic and asymptotic equivalence for quantum entanglement [44.99833362998488]
  Many-copy entanglement manipulation procedures allow for highly entangled pure states from noisy states.<n>We show that using an entangled catalyst cannot enhance the singlet distillation rate of a distillable quantum state.<n>Our findings provide a comprehensive understanding of the capabilities and limitations of both catalytic and state transformations of entangled states.
  arXiv  Detail & Related papers  (2023-05-05T12:57:59Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Detection of Beyond-Quantum Non-locality based on Standard Local Quantum Observables [46.03321798937856]
  We show that device independent detection cannot distinguish beyond-quantum non-local states from standard quantum states. This paper gives a device dependent detection based on local observables to distinguish any beyond-quantum non-local state from all standard quantum states.
  arXiv  Detail & Related papers  (2023-01-10T20:19:34Z)
• Catalysis of entanglement and other quantum resources [39.58317527488534]
  Instead of chemical reactions, quantum enhances our ability to convert quantum states into each other under physical constraints. This article reviews the most recent developments in quantum preservation and gives a historical overview of this research direction.
  arXiv  Detail & Related papers  (2022-07-12T17:15:18Z)
• Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm [0.0]
  Quantum theory exhibits another kind of nonlocality that involves the indistiguishability of the locally preparable set of multipartite states. Although, recently it is shown that a stronger notion of such a nonlocality, which deals with elimination instead of discrimination, can be activated from locally preparable bipartite states of dimension 7 $times$ 8, the present work observes that the same notion can be demonstrated even in lower dimensional multipartite systems.
  arXiv  Detail & Related papers  (2022-01-30T14:35:02Z)
• Quantum Bell Nonlocality is Entanglement [10.628932392896374]
  Bell nonlocality describes a manifestation of quantum mechanics that cannot be explained by any local hidden variable model. We develop a dynamical framework in which quantum Bell nonlocality emerges as special form of entanglement.
  arXiv  Detail & Related papers  (2020-12-12T23:02:06Z)
• Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices [68.8204255655161]
  Purifying entanglement resources after their imperfect generation is an indispensable step towards using them in quantum architectures. Here we depart from the typical purification paradigm for multipartite states explored in the last twenty years. We find that smaller sacrificial' states, like Bell pairs, can be more useful in the purification of multipartite states than additional copies of these same states.
  arXiv  Detail & Related papers  (2020-11-23T19:00:00Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.