Exact generation of quantum states by the dynamics of spin chains

Abstract

We design a quasi-one dimensional spin chain with engineered coupling strengths such that the natural dynamics of the spin chain evolves a single excitation localized at the left hand site to any specified single particle state on the whole chain. Our treatment is an exact solution to a problem which has already been addressed in approximate ways. As two important examples, we study the $W$ states and Gaussian states with arbitrary width.

12 pages, 6 figures

References in corpus (7)

• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Perfect quantum state transfer with randomly coupled quantum chains
• Perfect state transfer on a spin-chain without state initialization
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Perfect Quantum Routing in Regular Spin Networks
• Geometric Effects and Computation in Spin Networks