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Encoded State Transfer: Beyond the Uniform Chain
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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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Optimising Perfect Quantum State Transfer for Timing Insensitivity
A family of spin chains (T-Rex) achieves asymptotically optimal trade-offs between transfer time and arrival-width sensitivity, replacing the tight sin^{2(N-1)} arrival peaks with sin^6 or sin^8 profiles.
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