2012/10/11 by Min Li, Yong-Sheng Zhang, YOng-Sheng Zhang +1
Computer Science · Mathematics · Physics and Astronomy · #Position (finance) #Quantum #Quantum Computing Algorithms and Architecture #Quantum walk #Quantum-Dot Cellular Automata #Rings, Modules, and Algebras #State (computer science) #Symmetry (geometry) #Unitary state #quant-ph
paper · pdf · doi:10.1088/1674-1056/22/3/030310
arxiv created 2012/10/11 · openalex publication_date 2013/03/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigated discrete-time quantum walks with an arbitary unitary coin. Here we discover that the average position 〈 x 〉 = max(〈 x 〉) sin(α + γ), while the initial state is 1/√2(|0 L ⟩+i|0 R ⟩). We verify the result, and obtain some symmetry properties of quantum walks with a U(2) coin with |0 L 〉 and |0 R 〉 as the initial state.