Separability criteria based on the Weyl operators

• URL: http://arxiv.org/abs/2208.04789v1
• Date: Tue, 9 Aug 2022 14:04:19 GMT
• Title: Separability criteria based on the Weyl operators
• Authors: Xiaofen Huang, Tinggui Zhang, Ming-Jing Zhao, Naihuan Jing
• Abstract summary: Entanglement as a vital resource for information processing can be described by special properties of the quantum state. We propose a new Bloch decomposition of the quantum state and study its separability problem.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement as a vital resource for information processing can be described by special properties of the quantum state. Using the well-known Weyl basis we propose a new Bloch decomposition of the quantum state and study its separability problem. This decomposition enables us to find an alternative characterization of the separability based on the correlation matrix. We shaw that the criterion is effective in detecting entanglement for the isotropic states, Bell-diagonal states and some PPT entangled states. We also use the Weyl operators to construct an detecting operator for quantum teleportation.

Related papers

• Identification of a natural fieldlike entanglement resource in trapped-ion chains [0.0]
  The electromagnetic trapping of ion chains can be regarded as a process of non-trivial entangled quantum state preparation. The decay of entanglement between disjoint subsets of local modes is found to exhibit features of entanglement structure. A framework is established for initializing quantum field simulations via "imaging" extended entangled states from natural sources.
  arXiv  Detail & Related papers  (2023-11-15T10:32:02Z)
• Resolving nonclassical magnon composition of a magnetic ground state via a qubit [44.99833362998488]
  We show that a direct dispersive coupling between a qubit and a noneigenmode magnon enables detecting the magnonic number states' quantum superposition. This unique coupling is found to enable control over the equilibrium magnon squeezing and a deterministic generation of squeezed even Fock states.
  arXiv  Detail & Related papers  (2023-06-08T09:30:04Z)
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective [39.58317527488534]
  We develop a framework to characterize the separability of a specific type of one-dimensional quasiparticle known as a fermionic anyon. We map this notion of fermionic-anyon separability to the free resources of matchgate circuits. We also identify how entanglement between two qubits encoded in a dual-rail manner, as standard for matchgate circuits, corresponds to the notion of entanglement between fermionic anyons.
  arXiv  Detail & Related papers  (2023-06-01T15:25:19Z)
• Unitary equivalence of twisted quantum states [0.0]
  We present the time dynamics of twisted quantum states. We find an explicit connection between the well-known stationary Landau state and an evolving twisted state, even when the Hamiltonian accounts for linear energy dissipation.
  arXiv  Detail & Related papers  (2023-05-10T16:30:53Z)
• Certifying activation of quantum correlations with finite data [0.0]
  Quantum theory allows for different classes of correlations, such as entanglement, steerability or Bell-nonlocality. We show how our methods can be used to analyse the activation of quantum correlations by local filtering, specifically for Bell-nonlocality and quantum steerability.
  arXiv  Detail & Related papers  (2023-05-05T18:00:00Z)
• Entanglement detection in arbitrary dimensional bipartite quantum systems through partial realigned moments [0.0]
  We propose a separability criterion for detecting bipartite entanglement in arbitrary dimensional quantum states. Our approach enables detection of both distillable and bound entangled states through a common framework.
  arXiv  Detail & Related papers  (2023-02-09T17:44:46Z)
• Coherence-based operational nonclassicality criteria [0.0]
  We present criteria to detect the nonclassicality of individual quantum coherences. We analyze and compare the robustness of the nonclassical coherence aspects when the states pass through lossy and noisy channels.
  arXiv  Detail & Related papers  (2022-10-10T01:46:15Z)
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter [62.997667081978825]
  We introduce a low-overhead protocol to reverse this degradation. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise. This filter can be understood as a protocol for single-copy quasi-distillation.
  arXiv  Detail & Related papers  (2022-09-06T18:18:41Z)
• Learning Distributed Quantum State Discrimination with Noisy Classical Communications [39.000858564696856]
  This paper presents Noise Aware-LOCCNet (NA-LOCCNet) for distributed quantum state discrimination in the presence of noisy communication. We propose specific ansatzes for the case of two observed qubit pairs, and we describe a noise-aware training design criterion.
  arXiv  Detail & Related papers  (2022-07-22T22:06:56Z)
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays [48.06402199083057]
  We study the effects of atoms in cavities which can absorb and emit photons as they propagate down the array. Our model is equivalent to previously examined spin chains in the one-excitation sector and in the absence of emitters.
  arXiv  Detail & Related papers  (2021-12-10T18:52:07Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.