Shareability of Quantum Steering and its Relation with Entanglement

• URL: http://arxiv.org/abs/2005.14375v1
• Date: Fri, 29 May 2020 03:49:19 GMT
• Title: Shareability of Quantum Steering and its Relation with Entanglement
• Authors: Biswajit Paul and Kaushiki Mukherjee
• Abstract summary: Steerability is a characteristic of quantum correlations lying in between entanglement and Bell nonlocality. We show that at most two bipartite reduced states of a three qubit state can violate the three settings linear steering inequality.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Steerability is a characteristic of quantum correlations lying in between entanglement and Bell nonlocality. Understanding how these steering correlations can be shared between different parties has profound applications in ensuring security of quantum communication protocols. Here we show that at most two bipartite reduced states of a three qubit state can violate the three settings CJWR linear steering inequality contrary to two settings linear steering inequality. This result explains that quantum steering correlations have limited shareability properties and can sometimes even be nonmonogamous. In contrast to the two setting measurement scenario, three setting scenario turns out to be more useful to develop deeper understanding of shareability of tripartite steering correlations. Apart from distribution of steering correlations, several relations between reduced bipartite steering, different measures of bipartite entanglement of reduced states and genuine tripartite entanglement are presented here. The results enable detection of different kind of tripartite entanglement.

Related papers

• Relationship between average correlation and quantum steering for arbitrary two-qubit states [0.3749861135832073]
  We establish the relationship between the average correlation and the violation of the three-setting linear steering inequality for two-qubit systems. For a given class of states, the hierarchy of nonclassicality-steering-Bell nonlocality is demonstrated.
  arXiv  Detail & Related papers  (2024-10-15T03:05:43Z)
• Manipulating the direction of one-way steering in an optomechanical ring cavity [0.0]
  Quantum steering refers to the apparent possibility of exploiting nonseparable quantum correlations to remotely influence the quantum state of an observer via local measurements. Here, we study Gaussian quantum steering between two mechanical modes in an optomechanical ring cavity. We show that the state of the two considered modes can exhibit two-way steering and even one-way steering.
  arXiv  Detail & Related papers  (2024-03-25T00:44:56Z)
• Entanglement statistics of randomly interacting spins [62.997667081978825]
  Entanglement depends on the underlying topology of the interaction among the qubits. We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions.
  arXiv  Detail & Related papers  (2023-07-18T23:58:32Z)
• Multipartite entanglement theory with entanglement-nonincreasing operations [91.3755431537592]
  We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication. We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
  arXiv  Detail & Related papers  (2023-05-30T12:53:56Z)
• Semi-device independent nonlocality certification for near-term quantum networks [46.37108901286964]
  Bell tests are the most rigorous method for verifying entanglement in quantum networks. If there is any signaling between the parties, then the violation of Bell inequalities can no longer be used. We propose a semi-device independent protocol that allows us to numerically correct for effects of correlations in experimental probability distributions.
  arXiv  Detail & Related papers  (2023-05-23T14:39:08Z)
• 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 asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Demonstrating shareability of multipartite Einstein-Podolsky-Rosen steering [12.387712831635127]
  Einstein-Podolsky-Rosen (EPR) steering is a category of quantum nonlocal correlations describing the ability of one observer to influence another party's state via local measurements. Here, we provide a proof-of-principle demonstration of the shareability of EPR steering without the constraint of monogamy in a three-qubit system. This work has potential applications in many quantum information protocols, such as multipartite entanglement detection, quantum cryptography, and the construction of quantum networks.
  arXiv  Detail & Related papers  (2021-04-25T07:31:53Z)
• Experimental demonstration of complementarity relations between quantum steering criteria [17.30189229503516]
  We experimentally verify the complementarity relations between quantum steering criteria by employing two-photon Bell-like states and three Pauli operators. Our results show that the steering criterion based on skew information of coherence is more stronger in detecting the steerability of quantum states.
  arXiv  Detail & Related papers  (2020-07-22T10:17:02Z)
• Double Slit with an Einstein-Podolsky-Rosen Pair [0.8399688944263841]
  We present some new quantitative relations between entanglement and local interference within symmetric and asymmetric double-double-slit scenarios. We tie up the notions of distinguishability, predictability, coherence and visibility while drawing some specific connections between them.
  arXiv  Detail & Related papers  (2020-01-20T16:50:44Z)
• Tripartite Genuine Non-Gaussian Entanglement in Three-Mode Spontaneous Parametric Downconversion [56.12820031986851]
  We show that the states generated by a three-mode spontaneous parametric downconversion interaction Hamiltonian possess tripartite entanglement of a different nature to other paradigmatic three-mode entangled states generated by the combination of two-mode SPDCs interactions.
  arXiv  Detail & Related papers  (2020-01-20T10:39:28Z)

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.