RED: Learning the role embedding in networks via Discrete-time quantum walk
Sign Up to like & getrecommendations! Published in 2021 at "Applied Intelligence"
DOI: 10.1007/s10489-021-02342-1
Abstract: Role embedding aims to embed role-similar nodes into similar representations. Role embedding is significant in graph mining, providing a key bridge between traditional role analysis and machine learning. However, current methods suffer from information loss… read more here.
Keywords: quantum walk; discrete time; role embedding; via discrete ... See more keywords
A Spectral Analysis of Discrete-Time Quantum Walks Related to the Birth and Death Chains
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-1998-9
Abstract: In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary distributions of the quantum walks are… read more here.
Keywords: quantum walks; discrete time; time; spectral analysis ... See more keywords
Simplifying continuous-time quantum walks on dynamic graphs
Sign Up to like & getrecommendations! Published in 2022 at "Quantum Information Processing"
DOI: 10.1007/s11128-021-03403-7
Abstract: A continuous-time quantum walk on a dynamic graph evolves by Schrödinger’s equation with a sequence of Hamiltonians encoding the edges of the graph. This process is universal for quantum computing, but in general, the dynamic… read more here.
Keywords: dynamic graphs; dynamic graph; time quantum; continuous time ... See more keywords
Attractors and asymptotic dynamics of open discrete-time quantum walks on cycles
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.052111
Abstract: Open quantum walks often lead to a classical asymptotic behavior. Here, we look for a simple open quantum walk whose asymptotic behavior can be non-classical. We consider a discrete-time quantum walk on n-cycle subject to… read more here.
Keywords: discrete time; time quantum; asymptotic behavior; quantum walks ... See more keywords
Short-time behavior of continuous-time quantum walks on graphs
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.062320
Abstract: Dynamical evolution of systems with sparse Hamiltonians can always be recognized as continuous-time quantum walks (CTQWs) on graphs. In this paper, we analyze the short-time asymptotics of CTQWs. In recent studies, it was shown that… read more here.
Keywords: time; time quantum; time asymptotics; short time ... See more keywords
Implementation of a continuous-time quantum walk on a sparse graph
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review A"
DOI: 10.1103/physreva.110.052215
Abstract: Continuous-time quantum walks (CTQWs) play a crucial role in quantum computing, especially for designing quantum algorithms. However, how to efficiently implement CTQWs is a challenging issue. In this paper, we study implementation of CTQWs on… read more here.
Keywords: time quantum; sparse; continuous time; quantum ... See more keywords
Continuous-time quantum optimization without the adiabatic principle
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review A"
DOI: 10.1103/physreva.111.032414
Abstract: Continuous-time quantum algorithms for combinatorial optimization problems, such as quantum annealing, have previously been motivated by the adiabatic principle. A number of continuous-time approaches exploit dynamics, however, and therefore are no longer physically motivated by… read more here.
Keywords: time quantum; adiabatic principle; principle; continuous time ... See more keywords
Discrete-time quantum walks as fermions of lattice gauge theory
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.99.032110
Abstract: It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time dynamics is thus not only manifestly unitary, but also… read more here.
Keywords: discrete time; time; time quantum; lattice gauge ... See more keywords
Bose-Fermi Anderson model with SU(2) symmetry: Continuous-time quantum Monte Carlo study
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.014439
Abstract: In quantum critical heavy fermion systems, local moments are coupled to both collective spin fluctuations and conduction electrons. As such, the Bose-Fermi Kondo model, describing the coupling of a local moment to both a bosonic… read more here.
Keywords: bose fermi; time quantum; model; quantum monte ... See more keywords
Systematic dimensionality reduction for continuous-time quantum walks of interacting fermions.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.032136
Abstract: To extend the continuous-time quantum walk (CTQW) to simulate P distinguishable particles on a graph G composed of N vertices, the Hamiltonian of the system is expanded to act on an N^{P}-dimensional Hilbert space, in… read more here.
Keywords: reduction; ctqw; continuous time; interacting fermions ... See more keywords
Space-Time Quantum Metasurfaces.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review letters"
DOI: 10.1103/physrevlett.127.043603
Abstract: Metasurfaces have recently entered the realm of quantum photonics, enabling manipulation of quantum light using a compact nanophotonic platform. Realizing the full potential of metasurfaces at the deepest quantum level requires the ability to tune… read more here.
Keywords: quantum metasurfaces; time quantum; space time; space ... See more keywords