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The Impossibility of Quantum State Mirroring on Square Lattices

Alastair Kay
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Abstract

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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Alastair Kay. 2007-02-09. The Impossibility of Quantum State Mirroring on Square Lattices. https://arxiv.org/abs/quant-ph/0702088

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