Indecomposable entanglement witnesses from symmetric measurements

• URL: http://arxiv.org/abs/2202.04046v1
• Date: Tue, 8 Feb 2022 18:20:04 GMT
• Title: Indecomposable entanglement witnesses from symmetric measurements
• Authors: Katarzyna Siudzi\'nska
• Abstract summary: We propose a family of positive maps constructed from a recently introduced class of symmetric measurements. These maps are used to define entanglement witnesses, which include other popular approaches with mutually unbiased bases. A particular interest is given to indecomposable witnesses that can be used to detect entanglement of quantum states with positive partial transposition.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a family of positive maps constructed from a recently introduced class of symmetric measurements. These maps are used to define entanglement witnesses, which include other popular approaches with mutually unbiased bases and mutually unbiased measurements. A particular interest is given to indecomposable witnesses that can be used to detect entanglement of quantum states with positive partial transposition. We present several examples for different number of measurements.

Related papers

• Classification of joint quantum measurements based on entanglement cost of localization [42.72938925647165]
  We propose a systematic classification of joint measurements based on entanglement cost. We show how to numerically explore higher levels and construct generalizations to higher dimensions and multipartite settings.
  arXiv  Detail & Related papers  (2024-08-01T18:00:01Z)
• Quantum entanglement estimation via symmetric measurement based positive maps [8.806856261477007]
  We present positive and trace-preserving maps based on symmetric measurements. We show by detailed examples that our separability criteria, entanglement witnesses and lower bounds can detect and estimate the quantum entanglement better than the related existing results.
  arXiv  Detail & Related papers  (2024-05-20T02:43:51Z)
• 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)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• Discrimination and certification of unknown quantum measurements [45.84205238554709]
  We study the discrimination of von Neumann measurements in the scenario when we are given a reference measurement and some other measurement. We consider the cases when the reference measurement is given without the classical description and when its classical description is known.
  arXiv  Detail & Related papers  (2023-01-12T11:38:24Z)
• Naimark dilations of qubit POVMs and joint measurements [0.0]
  Measurement incompatibility is one of the cornerstones of quantum theory. numerical methods can decide any finite-dimensional and discrete joint measurability problem. Here, we take a complementary approach by asking which measurements are compatible with a given measurement.
  arXiv  Detail & Related papers  (2022-08-29T13:29:04Z)
• Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
  We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements. We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
  arXiv  Detail & Related papers  (2021-12-15T19:01:44Z)
• All classes of informationally complete symmetric measurements in finite dimensions [0.0]
  A broad class of informationally complete symmetric measurements is introduced. It can be understood as a common generalization of symmetric, informationally complete POVMs and mutually unbiased bases.
  arXiv  Detail & Related papers  (2021-11-15T22:00:06Z)
• Entanglement witnesses from mutually unbiased measurements [0.0]
  A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases.
  arXiv  Detail & Related papers  (2021-09-28T22:15:30Z)
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
  We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
  arXiv  Detail & Related papers  (2021-04-21T10:36:57Z)
• Witnesses of coherence and dimension from multiphoton indistinguishability tests [0.0]
  We experimentally measure a novel type of coherence witness that uses pairwise state comparisons to identify superpositions in a basis-independent way. Besides coherence witnesses, we show the measurements also serve as a Hilbert-space dimension witness.
  arXiv  Detail & Related papers  (2021-04-19T12:13:51Z)

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.