Quantum Markov semigroups for continuous-time open quantum random walk

2019 ◽  
Vol 18 (6) ◽  
Author(s):  
Yuan Bao Kang
Keyword(s):  
Random Walk ◽  
Continuous Time ◽  
Markov Semigroups ◽  
Quantum Random Walk ◽  
Open Quantum

Averaging in SU(2) open quantum random walk

2014 ◽  
Vol 23 (3) ◽  
pp. 030302 ◽  
Author(s):  
Clement Ampadu
Keyword(s):  
Random Walk ◽  
Quantum Random Walk ◽  
Open Quantum

The passage from random walk to diffusion in quantum probability

1988 ◽  
Vol 25 (A) ◽  
pp. 151-166 ◽  
Author(s):  
K. R. Parthasarathy
Keyword(s):  
Random Walk ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Discrete Time ◽  
Continuous Time ◽  
Quantum Probability ◽  
Diffusion Limit ◽  
Quantum Random Walk

The notion of a quantum random walk in discrete time is formulated and the passage to a continuous time diffusion limit is established. The limiting diffusion is described in terms of solutions of certain quantum stochastic differential equations.

The passage from random walk to diffusion in quantum probability

1988 ◽  
Vol 25 (A) ◽  
pp. 151-166 ◽  
Author(s):  
K. R. Parthasarathy
Keyword(s):  
Random Walk ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Discrete Time ◽  
Continuous Time ◽  
Quantum Probability ◽  
Diffusion Limit ◽  
Quantum Random Walk

The notion of a quantum random walk in discrete time is formulated and the passage to a continuous time diffusion limit is established. The limiting diffusion is described in terms of solutions of certain quantum stochastic differential equations.

Experimental implementation of a continuous-time quantum random walk on a solid-state quantum information processor

2019 ◽  
Vol 28 (11) ◽  
pp. 110302
Author(s):  
Maimaitiyiming Tusun ◽  
Yang Wu ◽  
Wenquan Liu ◽  
Xing Rong ◽  
Jiangfeng Du
Keyword(s):  
Quantum Information ◽  
Random Walk ◽  
Solid State ◽  
Continuous Time ◽  
Quantum Random Walk ◽  
Experimental Implementation ◽  
Time Quantum

Open quantum random walk in terms of quantum Bernoulli noise

2018 ◽  
Vol 17 (3) ◽  
Author(s):  
Caishi Wang ◽  
Ce Wang ◽  
Suling Ren ◽  
Yuling Tang
Keyword(s):  
Random Walk ◽  
Quantum Random Walk ◽  
Open Quantum

scholarly journals Quantum walk on a comb with infinite teeth

2022 ◽  
Author(s):  
François David ◽  
Thordur Jonsson
Keyword(s):  
Random Walk ◽  
Continuous Time ◽  
Quantum Walk ◽  
Quantum Random Walk ◽  
Return Probability ◽  
Starting Point ◽  
Time Quantum

Abstract We study continuous time quantum random walk on a comb with infinite teeth and show that the return probability to the starting point decays with time t as t−1. We analyse the diffusion along the spine and into the teeth and show that the walk can escape into the teeth with a finite probability and goes to infinity along the spine with a finite probability. The walk along the spine and into the teeth behaves qualitatively as a quantum random walk on a line. This behaviour is quite different from that of classical random walk on the comb.

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