Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian

DOI10.1063/1.4978327zbMath1359.81047arXiv1608.04722OpenAlexW3102074691WikidataQ62597379 ScholiaQ62597379MaRDI QIDQ2974636

Gabriel Coutinho, Simone Severini, L. Banchi, Chris D. Godsil

Publication date: 10 April 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04722

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Network design and communication in computer systems (68M10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Diophantine approximation in probabilistic number theory (11K60) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (29)

Pretty good state transfer in discrete-time quantum walks ⋮ Fidelity and entanglement in the open spin chain with Markovian and non-Markovian dynamics ⋮ Quantum state transfer in coronas ⋮ Signless Laplacian state transfer on \(\mathcal{Q} \)-graphs ⋮ Laplacian pretty good fractional revival ⋮ Laplacian state transfer in edge coronas ⋮ Perfect quantum state transfer using Hadamard diagonalizable graphs ⋮ Laplacian state transfer in edge complemented coronas ⋮ Almost perfect quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings ⋮ Perfect edge state transfer on abelian Cayley graphs ⋮ An infinite family of circulant graphs with perfect state transfer in discrete quantum walks ⋮ Laplacian state transfer in \(Q\)-graph ⋮ Quantum state transfer between twins in weighted graphs ⋮ Irrational Quantum Walks ⋮ The scaling law of the arrival time of spin systems that present pretty good transmission ⋮ Why and how to add direction to a quantum walk ⋮ Perfect state transfer on quasi-abelian semi-Cayley graphs ⋮ Abstract model of continuous-time quantum walk based on Bernoulli functionals and perfect state transfer ⋮ Pretty good quantum state transfer in symmetric spin networks via magnetic field ⋮ 2-qubit quantum state transfer in spin chains and cold atoms with weak links ⋮ Pretty good quantum fractional revival in paths and cycles ⋮ Unnamed Item ⋮ Laplacian state transfer in total graphs ⋮ Pretty good state transfer on Cayley graphs over dihedral groups ⋮ State transfer in strongly regular graphs with an edge perturbation ⋮ Pretty good quantum state transfer in asymmetric graphs via potential ⋮ State transfer on paths with weighted loops ⋮ Pretty good state transfer on Cayley graphs over semi-dihedral groups ⋮ Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer

Cites Work

• Quantum state transfer and network engineering
• Spectra of graphs
• When can perfect state transfer occur?
• Recurrence Time of a Dynamical System
• Pretty good state transfer of entangled states through quantum spin chains
• PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL
• COMMUNICATION IN XYZ ALL-TO-ALL QUANTUM NETWORKS WITH A MISSING LINK
• Unnamed Item

This page was built for publication: Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian