2019/03/31 by Sivaprasad Omanakuttan, Arul Lakshminarayan · 11 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Context (archaeology) #Exponential function #Mathematical analysis #Mathematics #Physics #Quadratic equation #Quantization (signal processing) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum chaos #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum walk #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreve.99.062128
published in Physical review. E 99(6), 062128 (American Physical Society) · 19 pages, 3 figures
arxiv created 2019/03/31 · openalex publication_date 2019/06/24 · arxiv updated 2019/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Out-of-time-ordered correlators (OTOCs) have recently attracted significant attention, finding applications in disparate areas, from the physics of many-body systems to quantum black holes, with an exponential growth of the OTOCs indicating quantum chaos. Here we consider OTOCs in the context of coined discrete quantum walks, a well-studied model of quantization of classical random walks with applications to quantum algorithms. Three separate cases of operators, variously localized in the coin and walker spaces, are discussed in this context and it is found that the approximated behavior of the OTOC is well described by simple algebraic functions in all three cases with different timescales of growth. The quadratic increase of OTOCs signals the absence of quantum chaos in these simplest forms of quantum walks.