2019/01/30 by Daiju Funakawa, Yasumichi Matsuzawa, Funakawa, Daiju +7
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.1901.10665
We construct concrete examples of time operators for both continuous and discrete-time homogeneous quantum walks, and we determine their deficiency indices and spectra. For a discrete-time quantum walk, the time operator can be self-adjoint if the time evolution operator has a non-zero winding number. In this case, its spectrum becomes a discrete set of real numbers.