Encoded State Transfer: Beyond the Uniform Chain
- URL: http://arxiv.org/abs/2207.12189v1
- Date: Mon, 25 Jul 2022 13:25:34 GMT
- Title: Encoded State Transfer: Beyond the Uniform Chain
- Authors: Alastair Kay
- Abstract summary: In a recent work, we showed that a uniformly coupled chain could be symmetrically extended by engineered spin chains.
In this paper, we apply the same strategy to a much broader range of initial systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In a recent work (arXiv:2207.01954), we showed that a uniformly coupled chain
could be symmetrically extended by engineered spin chains in such a way that we
could choose part of the spectrum of the overall system. When combined with an
encoding that avoids the uncontrolled eigenvalues, this resulted in the
possibility of achieving a range of tasks such as perfect quantum state
transfer. In this paper, we apply the same strategy to a much broader range of
initial systems - arbitrary chains, and even coupled networks of spins - while
providing guarantees on the existence of solutions.
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