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Heisenberg chains cannot mirror a state

2008/09/30 by Marcin Wieśniak, Marcin Wiesniak · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.78.052334

openalex publication_date 2008/11/26 · arxiv created 2008/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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-(1)/(2) coupled by the Heisenberg interaction, but without local magnetic fields. This fact has certain consequences in terms of the natural state transfer.

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