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Heisenberg chains cannot mirror a state

2008; American Physical Society; Volume: 78; Issue: 5 Linguagem: Inglês

10.1103/physreva.78.052334

1538-4446

Marcin Wieśniak,

Quantum and electron transport phenomena

In the future, faithful exchange of quantum information can become a key part of many computational algorithms. Some authors suggest using chains of mutually coupled spins as channels for quantum communication. One can divide these proposals into the groups of assisted protocols, which require some additional action from the users, and natural ones, based on the concept of state mirroring. We show that state mirroring is fundamentally not the feature of chains of spins-$\frac{1}{2}$ coupled by the Heisenberg interaction, but without local magnetic fields. This fact has certain consequences in terms of the natural state transfer.