Open and closed spin chains as multiprocessor wires: optimal engineering and reachability
arXiv:1811.10346 · doi:10.1103/PhysRevA.99.022331
Abstract
We consider the perfect transfer of a state between arbitrary nodes of one-dimensional spin-1/2 chain with optimally engineered couplings. Motivated by the fact that such a system could be used as a data bus for connecting multiple quantum processors, we derive two necessary and sufficient conditions that have to be met in order to perfectly transfer a state between any two nodes and we employ them to examine both open and closed geometries. Analytical calculations and numerical optimizations are performed for both cases in order to determine the reachability of certain target states and to provide optimal values for the couplings which ensure perfect fidelity. An important finding is that even-sized closed chains allow for perfect transfer between any pair of sites and therefore are a promising platform for the implementation of data bus protocols.
arXiv comment7 pages, 2 figures
References in corpus (11)
- The Physical Implementation of Quantum Computation
- Quantum Communication Through an Unmodulated Spin Chain
- Perfect state transfer in quantum spin networks
- Perfect Transfer of Arbitrary States in Quantum Spin Networks
- Mirror Inversion of Quantum States in Linear Registers
- Coherent Quantum Transport in Photonic Lattices
- Experimental Perfect Quantum State Transfer
- Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
- How to construct spin chains with perfect state transfer
- A Faithful Communication Hamiltonian in Photonic Lattices
- All Possible Coupling Schemes in XY Spin Chains for Perfect State Transfer