Genuine entanglement detection via projection map in multipartite systems

• URL: http://arxiv.org/abs/2401.03052v3
• Date: Thu, 03 Oct 2024 19:42:45 GMT
• Title: Genuine entanglement detection via projection map in multipartite systems
• Authors: Bivas Mallick, Sumit Nandi,
• Abstract summary: We present a formalism to detect genuine multipartite entanglement by considering projection map which is a positive but not completely positive map. We construct a suitable witness operator based on projection map to certify genuine tripartite entanglement.
• Score: 0.0
• License:
• Abstract: We present a formalism to detect genuine multipartite entanglement by considering projection map which is a positive but not completely positive map. Projection map has been motivated by the no-pancake theorem which repudiates the existence of a quantum operation that maps the Bloch sphere onto a disk along its equator. The not complete positivity feature of projection map is explored to investigate genuine multipartite entanglement in arbitrary N-qubit quantum systems. Our proposed framework can detect some important classes of genuinely entangled states in tripartite and quadripartite scenarios. We provide illustrative example to show the efficacy of our formalism to detect a class of tripartite PPT bound entangled states. Finally, we construct a suitable witness operator based on projection map to certify genuine tripartite entanglement, which is likely to be feasible experimentally.

Related papers

• 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)
• Overlapping qubits from non-isometric maps and de Sitter tensor networks [41.94295877935867]
  We show that processes in local effective theories can be spoofed with a quantum system with fewer degrees of freedom. We highlight how approximate overlapping qubits are conceptually connected to Hilbert space dimension verification, degree-of-freedom counting in black holes and holography.
  arXiv  Detail & Related papers  (2023-04-05T18:08:30Z)
• Physical realization of realignment criteria using structural physical approximation [0.0]
  Entanglement detection is an important problem in quantum information theory. Realignment criteria is a powerful tool for detection of entangled states in bipartite and multipartite quantum system.
  arXiv  Detail & Related papers  (2023-01-24T09:41:33Z)
• Valid P-Value for Deep Learning-Driven Salient Region [21.184555512370085]
  We propose a method to quantify the reliability of a salient region in the form of p-values. The proposed method can provably control the probability of false positive detections of salient regions.
  arXiv  Detail & Related papers  (2023-01-06T09:51:09Z)
• Detecting entanglement harnessing Lindblad structure [0.0]
  We study a class of positive maps arising from Lindblad structures. Generalizing the transposition map to a one parameter family we have used it to detect genuine multipartite entanglement.
  arXiv  Detail & Related papers  (2022-10-31T10:36:31Z)
• Positive maps and entanglement in real Hilbert spaces [5.926203312586108]
  We study positive maps acting on a full matrix algebra over the reals. We provide a necessary and sufficient condition for a real map to admit a positive complexification. We show that the original PPT-squared conjecture implies a different conjecture for real maps.
  arXiv  Detail & Related papers  (2022-07-06T08:25:55Z)
• Smoothed Embeddings for Certified Few-Shot Learning [63.68667303948808]
  We extend randomized smoothing to few-shot learning models that map inputs to normalized embeddings. Our results are confirmed by experiments on different datasets.
  arXiv  Detail & Related papers  (2022-02-02T18:19:04Z)
• CAMERAS: Enhanced Resolution And Sanity preserving Class Activation Mapping for image saliency [61.40511574314069]
  Backpropagation image saliency aims at explaining model predictions by estimating model-centric importance of individual pixels in the input. We propose CAMERAS, a technique to compute high-fidelity backpropagation saliency maps without requiring any external priors.
  arXiv  Detail & Related papers  (2021-06-20T08:20:56Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• Generating and detecting bound entanglement in two-qutrits using a family of indecomposable positive maps [0.0]
  We propose an indecomposable positive map for two-qutrit systems. A corresponding witness operator is constructed and shown to be weakly optimal. We find a new entangled state which is not detectable by certain other well-known entanglement detection criteria.
  arXiv  Detail & Related papers  (2020-08-29T12:52:27Z)
• Genuine Network Multipartite Entanglement [62.997667081978825]
  We argue that a source capable of distributing bipartite entanglement can, by itself, generate genuine $k$-partite entangled states for any $k$. We provide analytic and numerical witnesses of genuine network entanglement, and we reinterpret many past quantum experiments as demonstrations of this feature.
  arXiv  Detail & Related papers  (2020-02-07T13:26:00Z)

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.