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Abstract: We experimentally demonstrate a quantum walk on a line in phase space usingone and two trapped ion. A walk with up to 23 steps is realized by subjectingan ion to state-dependent displacement operations interleaved with quantum cointossing operations. To analyze the ion-s motional state after each step weapply a technique that directly maps the probability density distribution ontothe ion-s internal state. The measured probability distributions and theposition-s second moment clearly show the non-classical character of thequantum walk. To further highlight the difference between the classicalrandom and the quantum walk, we demonstrate the reversibility of the latter.Finally, we extend the quantum walk by using two ions, giving the walker theadditional possibility to stay instead of taking a step.



Autor: F. Zähringer, G. Kirchmair, R. Gerritsma, E. Solano, R. Blatt, C. F. Roos

Fuente: https://arxiv.org/







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