Graph spectra and continuous quantum walks
WebHome Mathematics University of Waterloo WebDec 12, 2012 · University of Calgary. Topic: Graph Spectra and Quantum Walks. Description: If A is the adjacency matrix of a graph X, then the unitary operators defined by U (t) = exp (-itA) define what physicists call a continuous quantum walk. A basic problem is to relate the physical properties of this system to features of the underlying graph.
Graph spectra and continuous quantum walks
Did you know?
WebApr 12, 2024 · where \(S_N\) is the quantum relative entropy of equation 8.Quantum Jensen–Shannon divergence was introduced as a measure of distinguishability between mixed quantum states (Majtey et al. 2005; Lamberti 2008).It is bounded to be \(0 \le QJSDiv \le 1\), with the equality to 0 holding if and only if \(\rho = \sigma\), and it is always well … Webquantum walks on Cayley graphs of the symmetric group—a topic that has been suggested in at least two previous papers on quantum walks [16, 3]. Two main variants of quantum walks have been considered: continuous-time quantum walks and discrete-time quantum walks. We restrict our attention to continuous-time quantum walks in …
WebQuantum graphs are metric graphs equipped with a differential (or pseudo-differential) operator acting on functions on the graph. A function on a metric graph is defined as the … WebJan 4, 2024 · G. Coutinho and C. Godsil, "graph spectra and continuous quantum walks," preprint. Recommended publications. Discover more. Article. Full-text available. …
WebApr 11, 2024 · The continuous-time quantum walk (CTQW) on the strongly regular graph is studied in this paper, and the exact transition probability distribution between any two vertices of the graph is provided ... WebMar 19, 2009 · This work considers exciton trapping in the continuous-time quantum walk framework and presents an experimental protocol based on a frozen Rydberg gas structured by optical dipole traps, to differentiate between the coherent and incoherent mechanisms. 93. PDF. View 10 excerpts, references background.
WebDec 12, 2012 · University of Calgary. Topic: Graph Spectra and Quantum Walks. Description: If A is the adjacency matrix of a graph X, then the unitary operators defined …
WebAug 1, 2024 · QSWs are a generalization of continuous time quantum walks that incorporate both coherent and incoherent dynamics and as such, include both quantum walks and classical random walks as special cases. The incoherent component allows for quantum walks along directed graph edges. The dynamics of QSWs are expressed … incoherent languageWebA continuous-time quantum walk (CTQW) is a quantum walk on a given (simple) graph that is dictated by a time-varying unitary matrix that relies on the Hamiltonian of the … incoherent matrixWebApr 11, 2024 · The continuous-time quantum walk (CTQW) on the strongly regular graph is studied in this paper, and the exact transition probability distribution between any two … incoherent meansWebNov 1, 2024 · A continuous quantum walk on a graph is defined by taking some Hermitian matrix H and considering the time-dependent unitary matrix U (t) ... G. Coutinho, C. Godsil, Graph Spectra and Continuous Quantum Walks, 2024, manuscript. Google Scholar [5] C. Godsil. When Can Perfect State Transfer Occur? (2010) Google Scholar [6] C. Godsil. incendies wajdi mouawad texte intégral pdfWebOct 29, 2024 · We study perfect state transfer in Kendon’s model of discrete quantum walks. In particular, we give a characterization of perfect state transfer purely in terms of the graph spectra, and construct an infinite family of 4-regular circulant graphs that admit perfect state transfer. Prior to our work, the only known infinite families of examples were … incoherent motherWebA range of physical systems (19–21) including photonics (22–24) have been used to implement analog simulations of quantum walks as well as digital simulations with … incoherent magnetismWebSep 16, 2024 · Quantum walks (QW) are essentially local unitary gates that drive the evolution of a particle on a graph , and although they may appear defined in a discrete and in a continuous time setting, it has been recently shown that a new family of “plastic” QW unifies and encompasses both systems [4,5]. incoherent medical