QWDAP (version 1.1.20)

qwdap.qwalk: Quantum Walk

Description

Generate the modes, the probabilities that the walker being found at vertices. An adjacency matrix is need for the process.

Usage

qwdap.qwalk(edges, startindex, lens, scals, getfloat)

Value

a object of class 'CTQW', the quantum walk results and some parameters.

Arguments

edges

your N*N adjacency matrix saved as list.

startindex

the initial position of the quantum walker.

lens

the number of records required in a round of sampling by a scaling factor. Set the length of the series according to requirements.

scals

the scaling factors used.

getfloat

Whether to return floating point data.

Author

Pan Binghuang

Details

'qwdap.qwalk()' is used to generated modes for time series analysis, the result is a object of class 'CTQW', the modes are saved in the object as a 3-dim array, and the parameters are also store in the object. The continuous time quantum walk is a continuous process, the modes are generated with a series of times, the parameter 'scals' can be understood as the tolerance of the arithmetic time series. Multiply tolerances can be passed in to obtain modes on different time scales through parameter 'scals'. The probability of the series with the probabilities that the walker being found at the vertices, and the length depends on parameter 'lens'. The data generated by this function is not recorded from the initial state. The shortest distance between all vertices and the initial position of the quantum walker is obtained by the Dijkstra algorithm.The probabilities corresponding to each vertex are recorded starting from the vertex furthest in the shortest distance is not 0. The function is single thread.

Examples

edges <- matrix(c(0,1,0,0,0,0,0,
                  1,0,1,0,0,0,0,
                  0,1,0,1,0,0,0,
                  0,0,1,0,1,0,0,
                  0,0,0,1,0,1,0,
                  0,0,0,0,1,0,1,
                  0,0,0,0,0,1,0),
                nrow = 7)
res.qwalk <- qwdap.qwalk(edges,1,100,scals=seq(from=0.01, by=0.01, length.out=5))