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Open Quantum Systems Decoherence

A Note on the Speed of Perfect State Transfer

arXiv

Authors: Alastair Kay, Weichen Xie, Christino Tamon

Year

2016

Paper ID

43726

Status

Preprint

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~2 min

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Abstract

In Phys. Rev. A 74, 030303 (2006), Yung showed that for a one-dimensional spin chain of length N and maximum coupling strength J_max, the time t₀ for a quantum state to transfer from one end of the chain to another is bounded by J_max t_0geqπN/4 (even N) and J_max t_0geqπsqrt{N²-1}/4 (odd N). The proof for even N was elegant, but the proof for odd N was less so. This note provides a proof for the odd N case that is simpler, and more in keeping with the proof for the even case.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2016 reference point for readers tracking recent quantum research.
In Phys.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1609.01854 [2] arXiv https://arxiv.org/abs/1609.01854 [3] Publisher https://arxiv.org/abs/1609.01854

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