Journal
NATURE COMMUNICATIONS
Volume 7, Issue -, Pages -Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/ncomms13194
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Funding
- National Key Research and Development Program of China [2016YFA0302700]
- Strategic Priority Research Program of the Chinese Academy of Sciences [XDB01030300]
- National Natural Science Foundation of China [11274297, 11105135, 11474267, 11004185, 60921091, 11274289, 10874170, 61322506, 11325419, 61327901]
- Fundamental Research Funds for the Central Universities [WK2470000020]
- Youth Innovation Promotion Association and Excellent Young Scientist Program CAS
- Program for New Century Excellent Talents in University [NCET-12-0508]
- Science foundation for the excellent PHD thesis [201218]
- EPSRC [EP/I038683/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I038683/1] Funding Source: researchfish
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The realization of Majorana zero modes is in the centre of intense theoretical and experimental investigations. Unfortunately, their exchange that can reveal their exotic statistics needs manipulations that are still beyond our experimental capabilities. Here we take an alternative approach. Through the Jordan-Wigner transformation, the Kitaev's chain supporting two Majorana zero modes is mapped to the spin-1/2 chain. We experimentally simulated the spin system and its evolution with a photonic quantum simulator. This allows us to probe the geometric phase, which corresponds to the exchange of two Majorana zero modes positioned at the ends of a three-site chain. Finally, we demonstrate the immunity of quantum information encoded in the Majorana zero modes against local errors through the simulator. Our photonic simulator opens the way for the efficient realization and manipulation of Majorana zero modes in complex architectures.
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