[图书][B] Quantum walks and search algorithms
R Portugal - 2013 - Springer
This is a textbook about quantum walks and quantum search algorithms. The readers will
take advantage of the pedagogical aspects and learn the topics faster and make less effort …
take advantage of the pedagogical aspects and learn the topics faster and make less effort …
Dirac equation as a quantum walk over the honeycomb and triangular lattices
P Arrighi, G Di Molfetta, I Márquez-Martín, A Pérez - Physical Review A, 2018 - APS
A discrete-time quantum walk (QW) is essentially an operator driving the evolution of a
single particle on the lattice, through local unitaries. Some QWs admit a continuum limit …
single particle on the lattice, through local unitaries. Some QWs admit a continuum limit …
Controlled alternate quantum walks based quantum hash function
D Li, YG Yang, JL Bi, JB Yuan, J Xu - Scientific reports, 2018 - nature.com
Through introducing controlled alternate quantum walks, we present controlled alternate
quantum walks (CAQW) based quantum hash function. CAQW based quantum hash …
quantum walks (CAQW) based quantum hash function. CAQW based quantum hash …
Proposal of multidimensional quantum walks to explore Dirac and Schrödinger systems
We propose a multidimensional discrete-time quantum walk (DTQW), whose continuum limit
is an extended multidimensional Dirac equation, which can be further mapped to the …
is an extended multidimensional Dirac equation, which can be further mapped to the …
Quantum circuits for discrete-time quantum walks with position-dependent coin operator
U Nzongani, J Zylberman, CE Doncecchi… - Quantum Information …, 2023 - Springer
The aim of this paper is to build quantum circuits that implement discrete-time quantum
walks having an arbitrary position-dependent coin operator. The position of the walker is …
walks having an arbitrary position-dependent coin operator. The position of the walker is …
A Machine Learning Study of High Robustness Quantum Walk Search Algorithm with Qudit Householder Coins
In this work, the quantum random walk search algorithm with a walk coin constructed by
generalized Householder reflection and phase multiplier has been studied. The coin register …
generalized Householder reflection and phase multiplier has been studied. The coin register …
Quantum walks in weak electric fields and Bloch oscillations
P Arnault, B Pepper, A Pérez - Physical Review A, 2020 - APS
Bloch oscillations appear when an electric field is superimposed on a quantum particle that
evolves on a lattice with a tight-binding Hamiltonian (TBH), ie, evolves via what we call an …
evolves on a lattice with a tight-binding Hamiltonian (TBH), ie, evolves via what we call an …
Demonstration of reversed non-Hermitian skin effect via quantum walks on a ladder
Quantum walks hold enormous potential applications in various areas such as quantum
computing and quantum simulation. Discrete-time quantum walks on a ladder offer greater …
computing and quantum simulation. Discrete-time quantum walks on a ladder offer greater …
Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps
MA Pires, GD Molfetta, SMD Queirós - Scientific Reports, 2019 - nature.com
We extend to the gamut of functional forms of the probability distribution of the time-
dependent step-length a previous model dubbed Elephant Quantum Walk, which considers …
dependent step-length a previous model dubbed Elephant Quantum Walk, which considers …
Controlling probability transfer in the discrete-time quantum walk by modulating the symmetries
Quantum walks are a useful platform for studying high-efficiency energy transport. In this
paper, we study the probability transfer in the discrete-time quantum walk (DTQW) in detail …
paper, we study the probability transfer in the discrete-time quantum walk (DTQW) in detail …