51. Identifying quantum states capable of high-fidelity transmission over a spin chain
- Author
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Lian-Ao Wu, Zhao-Ming Wang, C. Allen Bishop, Mark S. Byrd, and Yong-Jian Gu
- Subjects
Physics ,media_common.quotation_subject ,Fidelity ,01 natural sciences ,Atomic and Molecular Physics, and Optics ,010305 fluids & plasmas ,symbols.namesake ,High fidelity ,Quantum state ,Quantum mechanics ,0103 physical sciences ,symbols ,Unitary operator ,010306 general physics ,Quantum information science ,Exchange operator ,Hamiltonian (quantum mechanics) ,Eigenvalues and eigenvectors ,media_common - Abstract
A uniformly coupled double-quantum Hamiltonian for a spin chain has recently been implemented experimentally. We propose a method for the determination of initial quantum states that will provide perfect or near-perfect state transmission for an arbitrary Hamiltonian including this one. By calculating the eigenvalues and eigenvectors of a unitary operator obtained from the free evolution plus an exchange operator, we find that the double-quantum Hamiltonian spin chain will support a three-spin initial encoding that will transfer along the chain with remarkably high fidelity. The fidelity is also found to decrease very slowly with increasing chain length. In addition, we are able to explain previous results showing exceptional transfer using this method.
- Published
- 2013
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