The generator and quantum Markov semigroup for quantum walks
نویسندگان
چکیده
منابع مشابه
Invariant States for the Asymmetric Exclusion Quantum Markov Semigroup
We study the structure of the set of diagonal invariant states, their attraction domains and characterize all the subharmonic projection for the asymmetric exclusion quantum Markov semigroup introduced in [9]
متن کاملQuantum Walks, Quantum Gates, and Quantum Computers
The physics of quantum walks on graphs is formulated in Hamiltonian language, both for simple quantum walks and for composite walks, where extra discrete degrees of freedom live at each node of the graph. It is shown how to map between quantum walk Hamiltonians and Hamiltonians for qubit systems and quantum circuits; this is done for both a singleand multi-excitation coding, and for more genera...
متن کاملQuantum walks and quantum computation
The field of quantum information applies the concepts of quantum physics to problems in computer science, and shows great potential for allowing efficient computation. In this thesis I concentrate on a particular quantum information theoretic tool known as the quantum walk. There are two widely studied versions of the quantum walk, the continuous time walk, and the discrete time walk. The discr...
متن کاملNovel pseudo-random number generator based on quantum random walks
In this paper, we investigate the potential application of quantum computation for constructing pseudo-random number generators (PRNGs) and further construct a novel PRNG based on quantum random walks (QRWs), a famous quantum computation model. The PRNG merely relies on the equations used in the QRWs, and thus the generation algorithm is simple and the computation speed is fast. The proposed PR...
متن کاملQuantum Walks
Quantum walks can be considered as a generalized version of the classical random walk. There are two classes of quantum walks, that is, the discrete-time (or coined) and the continuous-time quantum walks. This manuscript treats the discrete case in Part I and continuous case in Part II, respectively. Most of the contents are based on our results. Furthermore, papers on quantum walks are listed ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2013
ISSN: 0386-5991
DOI: 10.2996/kmj/1372337524