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Almost exact state transfer in a spin chain via pulse control

2020/05/04 by Zhao-Ming Wang, M. S. Sarandy, Marcelo S. Sarandy +1
Computer Science · Mathematics · Physics and Astronomy · #Chain (unit) #Combinatorics #Computer science #Condensed matter physics #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Spin states #Spins #Subspace topology #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1103/physreva.102.022601

published as Phys. Rev. A 102, 022601 (2020) · 6 pages, 3 figures

arxiv created 2020/05/04 · openalex publication_date 2020/08/03 · arxiv updated 2020/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum communication through spin chains has been extensively investigated. In this scenario, state transfer through linearly arranged spins connected by uniform nearest-neighbor couplings qualifies as a natural choice, with minimal control requirements. However, quantum states usually cannot be perfectly transferred through a uniformly coupled chain due to the dispersion of the chain. Here, we propose an effective quantum control technique to realize almost exact state transfer (AEST) in a quantum spin chain. The strategy is to add a leakage elimination operator Hamiltonian to the evolution, which implements a sequence of pulse control acting on a perfect state transfer subspace. By using the one-component Feshbach PQ partitioning technique, we obtain the conditions over the required pulses. AEST through a spin chain can then be obtained under a suitable pulse intensity and duration.

Citations