The Impossibility of Quantum State Mirroring on Square Lattices

Details The Impossibility of Quantum State Mirroring on Square Lattices The Impossibility of Quantum State Mirroring on Square Lattices

2007-02-09

arxiv.org/abs/quant-ph/0702088v1

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

We discuss the possibility of engineering a Hamiltonian that can perfectly
mirror a state of many excitations stored on a square lattice. In comparison to
the well-studied case of a chain, there is potential for a speed-up of
information transfer. However, we prove that in a large class of cases, perfect
state mirroring on a square lattice is impossible.

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