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

• Perfect, Pretty Good and Optimized Quantum State Transfer in Transmon qubit chains [44.99833362998488]
  We study how changing the interaction strength between the chain qubits allows us to obtain perfect or pretty good state transfer. For particular values of the interactions between the qubits, transmon chains are equivalent to generalized SSH chains. We show that, in many cases, asking for fast transfer times results in chains with dimerized interactions that do not have topological states.
  arXiv  Detail & Related papers  (2025-01-17T22:16:41Z)
• Powering a quantum clock with a non-equilibrium steady state [50.24983453990065]
  We propose powering a quantum clock with the non-thermal resources offered by the stationary state of an integrable quantum spin chain. Using experimentally relevant examples of quantum spin chains, we suggest crossing a phase transition point is crucial for optimal performance.
  arXiv  Detail & Related papers  (2024-12-17T17:25:11Z)
• Quantum state transfer with sufficient fidelity [0.0]
  We consider an inhomogeneous XX spin chain which interpolates between the Krawtchouk one with perfect state transfer and the homogeneous XX chain. The advantage of this model with respect to the Krawtchouk chain is that while it achieves efficient state transfer, the coupling strengths are capped and do not become excessively large as the number of sites grows.
  arXiv  Detail & Related papers  (2024-12-03T09:35:47Z)
• 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)
• 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.