Perfect State Transfer in Two and Three Dimensional Structures

Details Perfect State Transfer in Two and Three Dimensional Structures Perfect State Transfer in Two and Three Dimensional Structures

2011-06-23

arxiv.org/abs/1106.4829v2

Phys. Rev. A 85, 010302(Rapid Communications) (2012)

Physics

Quantum Physics

4 pages, minor improvements and clarifications

Scientific paper

We introduce a scheme for perfect state transfer in regular two and three dimensional structures. The interactions on the lattices are of XX spin type with uniform couplings. In two dimensions the structure is a hexagonal lattice and in three dimensions it consists of hexagonal planes joined to each other at arbitrary points. We will show that compared to other schemes, i) much less control is needed for routing, ii) the algebra of global control is quite simple, iii) the same kind of control can upload and download qubit states to or from built-in Read-Write (RW) heads. Pivotal use is made of a quantum switch which we introduce and call it Hadamard switch, since its operation depends on the existence of a Hadamard matrix in four dimensions.

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