Quantum Physics
[Submitted on 9 Nov 2024 (v1), last revised 12 Nov 2024 (this version, v2)]
Title:Jacobi matrices that realize perfect quantum state transfer and early state exclusion
View PDF HTML (experimental)Abstract:In this paper we show how to construct 1D Hamiltonians, that is, Jacobi matrices, that realize perfect quantum state transfer and also have the property that the overlap of the time evolved state with the initial state is zero for some time before the transfer time. If the latter takes place we call it an early exclusion state. We also show that in some case early state exclusion is impossible. The proofs rely on properties of Krawtchouk and Chebyshev polynomials.
Submission history
From: Maxim Derevyagin [view email][v1] Sat, 9 Nov 2024 03:06:08 UTC (31 KB)
[v2] Tue, 12 Nov 2024 02:42:46 UTC (31 KB)
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