State transfers in vertex complemented coronas

• URL: http://arxiv.org/abs/2202.07175v1
• Date: Tue, 15 Feb 2022 03:56:53 GMT
• Title: State transfers in vertex complemented coronas
• Authors: Jing Wang, Xiaogang Liu
• Abstract summary: We study the existence of perfect state transfer and pretty good state transfer in vertex complemented coronas. In contrast, we give sufficient conditions for vertex complemented coronas to have pretty good state transfer.
• Score: 3.540228410822215
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we study the existence of perfect state transfer and pretty good state transfer in vertex complemented coronas. We prove that perfect state transfer in vertex complemented coronas is extremely rare. In contrast, we give sufficient conditions for vertex complemented coronas to have pretty good state transfer.

Related papers

• New results in vertex sedentariness [0.0]
  We show that the direct product and join operations preserve the sedentary state of a graph. We also completely characterize sedentariness in blow-up graphs. As an application, we determine the conditions in which perfect state transfer, pretty good state transfer and sedentariness occur in complete bipartite graphs and threshold graphs of any order.
  arXiv  Detail & Related papers  (2023-12-31T01:22:06Z)
• Attraction Domain Analysis for Steady States of Markovian Open Quantum Systems [23.032361050165587]
  We show that steady states without uniqueness in the set of density operators have attraction domains with measure zero. An example regarding an open Heisenberg XXZ spin chain is presented.
  arXiv  Detail & Related papers  (2023-08-15T07:10:46Z)
• Pretty good state transfer among large sets of vertices [0.0]
  In a continuous-time quantum walk on a network of qubits, pretty good state transfer is the phenomenon of state transfer between two vertices with fidelity arbitrarily close to 1. We construct families of graphs to demonstrate that there is no bound on the size of a set of vertices that admit pretty good state transfer between any two vertices of the set.
  arXiv  Detail & Related papers  (2023-05-23T17:24:14Z)
• A Quantum Optimal Control Problem with State Constrained Preserving Coherence [68.8204255655161]
  We consider a three-level $Lambda$-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels. We formulate the quantum optimal control problem with state constraints where the decoherence level remains within a pre-defined bound.
  arXiv  Detail & Related papers  (2022-03-24T21:31:34Z)
• Laplacian state transfer in vertex complemented coronas [7.4976452082662775]
  We prove that there is no Laplacian perfect state transfer in. vertex complemented coronas. We give a sufficient condition for. vertex complemented coronas to have Laplacian pretty good state transfer.
  arXiv  Detail & Related papers  (2022-02-15T05:33:10Z)
• Constructing graphs having Laplacian pair state transfer by an edge perturbation [7.7566555097445455]
  We construct many new graphs having Laplacian perfect pair state transfer as well as Laplacian pretty good pair state transfer. By those sufficient conditions, we also construct many new graphs having Laplacian perfect pair state transfer as well as Laplacian pretty good pair state transfer.
  arXiv  Detail & Related papers  (2022-02-10T11:22:37Z)
• 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)
• Perfect state transfer in Grover walks between states associated to vertices of a graph [0.0]
  We study perfect state transfer in Grover walks, which are typical discrete-time quantum walk models. We call such states type states. We derive a necessary condition on eigenvalues of a graph for perfect state transfer between type states to occur.
  arXiv  Detail & Related papers  (2021-09-14T03:59:47Z)
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings [68.8204255655161]
  We consider chains with isotropic and anisotropic Heisenberg Hamiltonian with up to 100 spins. We consider short transferred times, in particular shorter than those achievable with known time-dependent control schemes.
  arXiv  Detail & Related papers  (2021-01-08T19:32:10Z)
• Discrimination of quantum states under locality constraints in the many-copy setting [18.79968161594709]
  We prove that the optimal average error probability always decays exponentially in the number of copies. We show an infinite separation between the separable (SEP) and PPT operations by providing a pair of states constructed from an unextendible product basis (UPB) On the technical side, we prove this result by providing a quantitative version of the well-known statement that the tensor product of UPBs is a UPB.
  arXiv  Detail & Related papers  (2020-11-25T23:26:33Z)
• Majorana bound states in topological insulators with hidden Dirac points [25.488181126364186]
  We show that well-defined Majorana bound states can be obtained even in materials with hidden Dirac point. The obtained topological phase diagram allows one to extract precisely the position of the Dirac point in the spectrum.
  arXiv  Detail & Related papers  (2020-04-22T15:04:39Z)

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.