Perfect state transfer on spin-1 chains
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We show that networks of spin-1 particles connected in a special geometry and subject to Affleck–Kennedy–Lieb–Tasaki (AKLT) interaction are capable of perfectly transferring states of particles (qubits and qutrits) if we also allow a global control of the network in predetermined time intervals. The geometry can be one, two, and three dimensional. The strengths of the couplings have the same modulus, and only their signs differ on various bonds. Any particle which is routed in the network acquires relative phase shifts which can be corrected after it is extracted from the network. An advantage of this protocol is that one can route more than one particle through the network simultaneously. We show that a uniform magnetic fields do not deteriorate the fidelity and only change the relative phases in a controllable way.
KeywordsState transfer Spin chain AKLT
M. A. would like to thank the Abdus Salam ICTP, in Trieste, Italy, where the major part of this research was carried out during a visit in summer of 2012 and where it was substantially revised in the summer of 2013.
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