{"paper":{"title":"M\\\"obius Quantum Walk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Majid Moradi, Mostafa Annabestani","submitted_at":"2017-06-15T11:17:14Z","abstract_excerpt":"By adding an extra Hilbert space to Hadamard Quantum Walk on Cycles (QWC), we presented a new type of QWCs called M\\\"obius Quantum Walk (MQW). The new space configuration enables the particle to rotate around the axis of movement. We defined factor $\\alpha$ as the M\\\"obius factor which is number of rotations per cycle. So by $\\alpha=0$ we have normal QWC, while $\\alpha \\neq 0$ defines new type of QWC (namely M\\\"obius Quantum Walk). Specially $\\alpha = \\frac{1}{2}$ defines a structure similar to M\\\"obius strip. We analytically investigated this new type of QW and found that by tuning the parame"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04817","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}