An open discrete-time quantum walk with just two Kraus operators realizes all asymptotic regimes of finite quantum Markov chains, including an entangled oscillatory attractor.
In particular, we look for operators Xλ that are eigenvectors of both transforma- tions U0XλU† 0 =U1XλU† 1 =λXλ, (19) where λ is the eigenvalue
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Attractors and asymptotic dynamics of open discrete-time quantum walks on cycles
An open discrete-time quantum walk with just two Kraus operators realizes all asymptotic regimes of finite quantum Markov chains, including an entangled oscillatory attractor.