Sharing Bell nonlocality of bipartite high-dimensional pure states using only projective measurements

• URL: http://arxiv.org/abs/2402.12614v1
• Date: Tue, 20 Feb 2024 00:38:54 GMT
• Title: Sharing Bell nonlocality of bipartite high-dimensional pure states using only projective measurements
• Authors: Tinggui Zhang, Hong Yang and Shao-Ming Fei
• Abstract summary: Bell nonlocality is the key quantum resource in some device-independent quantum information processing. Unsharp measurements are widely used in sharing the nonlocality of an entangled state among several sequential observers. We show that projective measurements are sufficient for sharing the Bell nonlocality of arbitrary high-dimensional pure bipartite states.
• Score: 15.304146645863584
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Bell nonlocality is the key quantum resource in some device-independent quantum information processing. It is of great importance to study the efficient sharing of this resource. Unsharp measurements are widely used in sharing the nonlocality of an entangled state shared among several sequential observers. Recently, the authors in [Phys. Rev. Lett.129, 230402(2022)] showed that the Bell nonlocality of two-qubit pure states can be shared even when one only uses projective measurements and local randomness. We demonstrate that projective measurements are also sufficient for sharing the Bell nonlocality of arbitrary high-dimensional pure bipartite states. Our results promote further understanding of the nonlocality sharing of high-dimensional quantum states under projective measurements.

Related papers

• Unbounded Sharing of Nonlocality Using Projective Measurements [0.0]
  A sharp projective measurement in one side of the Bell experiment destroys the entanglement of the shared state. We introduce a local randomness-assisted projective measurement protocol, enabling the sharing of nonlocality by an arbitrary number of sequential observers.
  arXiv  Detail & Related papers  (2023-11-14T08:09:16Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system. This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• 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)
• Activation of quantum steering sharing with unsharp nonlocal product measurements [1.8549313085249322]
  We show that employing unsharp nonlocal product measurements can activate the phenomenon of steering sharing. Our findings demonstrate that nonlocal measurements with unequal strength possess a greater activation capability compared to those with equal strength.
  arXiv  Detail & Related papers  (2023-03-10T14:39:57Z)
• Bell inequalities with overlapping measurements [52.81011822909395]
  We study Bell inequalities where measurements of different parties can have overlap. This allows to accommodate problems in quantum information. The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
  arXiv  Detail & Related papers  (2023-03-03T18:11:05Z)
• Quantum Bell nonlocality cannot be shared under a special kind of bilateral measurements for high-dimensional quantum states [0.0]
  We consider the shareability of quantum Bell nonlocality under bilateral measurements. Under a specific class of projection operators, we find that quantum Bell nonlocality cannot be shared for a limited number of times.
  arXiv  Detail & Related papers  (2022-10-26T03:39:43Z)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• Sharing Quantum Nonlocality in Star Network Scenarios [0.0]
  The nonlocality of quantum network states is more complex than the Bell nonlocality. For the star network scenarios, we present for the first time comprehensive results on the nonlocality sharing properties of quantum network states.
  arXiv  Detail & Related papers  (2022-10-12T07:50:19Z)
• Single-photon nonlocality in quantum networks [55.41644538483948]
  We show that the nonlocality of single-photon entangled states can nevertheless be revealed in a quantum network made only of beamsplitters and photodetectors. Our results show that single-photon entanglement may constitute a promising solution to generate genuine network-nonlocal correlations useful for Bell-based quantum information protocols.
  arXiv  Detail & Related papers  (2021-08-03T20:13:24Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• 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.