formulations in both discrete time and continuous time. Quantum walks are motivated by the widespread use of classical random walks in the design of randomized algorithms...

A 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...

QAOA process is essentially an alternating application of a continuous-time quantum walk on an underlying graph followed by a quality-dependent phase...

the problem of a time-independent and local Hamiltonian by proposing a continuous-time quantum walk that could perform universal quantum computation. Superconducting...

context of quantum computing, the quantum walk search is a quantum algorithm for finding a marked node in a graph. The concept of a quantum walk is inspired...

In quantum computing, a quantum algorithm is an algorithm that runs on a realistic model of quantum computation, the most commonly used model being the...

(particularly quantum mechanics, where this sort of distribution often arises), Dirac delta functions are often used to treat continuous and discrete components...

Childs, Andrew M. (2010). "On the relationship between continuous- and discrete-time quantum walk". Communications in Mathematical Physics. 294 (2): 581–603...

Time is the continuous progression of existence that occurs in an apparently irreversible succession from the past, through the present, and into the future...

In quantum computing, Grover's algorithm, also known as the quantum search algorithm, is a quantum algorithm for unstructured search that finds with high...

Jingbo B.; Xue, Peng (2017). "Centrality measure based on continuous-time quantum walks and experimental realization". Physical Review A. 95 (3): 032318...

summing up all possible random walks. The path integral has impacted a wide array of sciences, including polymer physics, quantum field theory, string theory...

quantum dynamics. He is an accomplished researcher who has made important contributions to the theory of anelasticity, continuous-time random walks,...

processes in continuous time, while random walks on the integers and the gambler's ruin problem are examples of Markov processes in discrete time. A Markov...

but instead “walk” in a rectilinear motion on top of the fluid bath. Walking droplet systems have been found to mimic several quantum mechanical phenomena...

Quantum machine learning is the integration of quantum algorithms within machine learning programs. The most common use of the term refers to machine learning...

Childs, Andrew M. (2010). "On the relationship between continuous- and discrete-time quantum walk". Communications in Mathematical Physics. 294 (2): 581–603...

Pólya's Random Walk Constants Random walk in Java Applet Archived 31 August 2007 at the Wayback Machine Quantum random walk Gaussian random walk estimator...

moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called a continuous-time Markov chain (CTMC)....

S2CID 123132851. Parthasarathy, K. R. (1988). "The passage from random walk to diffusion in quantum probability". Journal of Applied Probability. 25 (A): 151–166...

Quantum noise is noise arising from the indeterminate state of matter in accordance with fundamental principles of quantum mechanics, specifically the...

proposal for a digital quantum simulator, a general framework for quantum metrology, the first treatment of continuous-variable quantum information, dynamical...

and the philosophy of physics, quantum Bayesianism is a collection of related approaches to the interpretation of quantum mechanics, the most prominent...

ISSN 2976-7032. Enrico Scalas (2006). "The application of continuous-time random walks in finance and economics". Physica A. 362 (2): 225–239. Bibcode:2006PhyA...

resonances), nonrelativistic quantum mechanics in electric and magnetic fields, the semi-classical limit, the singular continuous spectrum, random and ergodic...

connection with the physical process of the same name) is a real-valued continuous-time stochastic process discovered by Norbert Wiener. It is one of the best...

Jürg, Fröhlich M.; Sokal, Alan D. (1992). Random walks, critical phenomena, and triviality in quantum field theory. Springer. ISBN 0-387-54358-9. Fröhlich...

an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes...

A maximal entropy random walk (MERW) is a popular type of biased random walk on a graph, in which transition probabilities are chosen accordingly to the...

such as the famous list by David Hilbert, the Simon problems concern quantum operators. Eight of the problems pertain to anomalous spectral behavior...