2010/12/31 by S. Salimi, R. Yosefjani, R. YOSEFJANI
Computer Science · Mathematics · Physics and Astronomy · #Degrees of freedom (physics and chemistry) #Hilbert space #Mathematics #Operator (biology) #Physics #Position (finance) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Quantum walk #Statistical physics #Unitary operator #Unitary state #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1142/s0217979212501123
published as International Journal of Modern Physics B, Vol. 26, No. 20 (2012) 1250112 · 23 pages, 4 figures, accepted for publication in IJMPB. arXiv admin note: text overlap with arXiv:1001.5326 by other authors
arxiv created 2012/04/05 · arxiv updated 2012/07/10 · openalex publication_date 2012/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Discrete-time quantum walk evolve by a unitary operator which involves two operators a conditional shift in position space and a coin operator. This operator entangles the coin and position degrees of freedom of the walker. In this paper, we investigate the asymptotic behavior of the coin position entanglement (CPE) for an inhomogeneous quantum walk which determined by two orthogonal matrices in one-dimensional lattice. Free parameters of coin operator together provide many conditions under which a measurement perform on the coin state yield the value of entanglement on the resulting position quantum state. We study the problem analytically for all values that two free parameters of coin operator can take and the conditions under which entanglement becomes maximal are sought.