Access the full text.
Sign up today, get DeepDyve free for 14 days.
O. Mülken, A. Blumen (2005)
Spacetime structures of continuous-time quantum walksPhys. Rev. E, 71
S.H. Strogatz, I. Stewart (1993)
Coupled oscillators and biological synchronizationSci. Am., 269
R. Côté (2006)
Quantum random walk with Rydberg atoms in an optical latticeNew J. Phys., 8
S. Salimi, M. Jafarizadeh (2009)
Continuous-time classical and quantum random walk on direct product of Cayley graphsCommun. Theor. Phys., 51
D. Solenov, L. Fedichkin (2006)
Continuous-time quantum walks on a cycle graphPhys. Rev. A, 73
G. Alagic, A. Russell (2005)
Decoherence in quantum walks on the hypercubePhys. Rev. A, 72
M. Abramowitz, I.A. Stegun (1972)
Handbook of Mathematical Functions
R.P. Feynman, R.B. Leighton, M. Sands (1964)
Feynman Lectures on Physics
V. Kendon (2006)
Decoherence in quantum walks—a reviewMath. Struct. Comput. Sci., 17
K. Wiesenfeld (1996)
New results on frequency-locking dynamics of disordered Josephson arraysPhys. B, 222
A.C. Torre, H.O. Mártin, D. Goyeneche (2003)
Quantum diffusion on a cyclic one-dimensional latticePhys. Rev. E, 68
M. Drezgić, A.P. Hines, M. Sarovar, Sh. Sastry (2009)
Complete Characterization of mixing time for the continuous quantum walk on the hypercube with Markovian decoherence modelQuant. Inf. Comput, 9
A.M. Childs, E. Farhi, S. Gutmann (2002)
An example of the difference between quantum and classical random walksQuant. Inf. Process., 1
N. Konno (2006)
Continuous-time quantum walks on ultrametric spacesInt. J. Quant. Inf., 4
S. Salimi, R. Radgohar (2009)
Mixing and decoherence in continuous-time quantum walks on long-range interacting cyclesJ. Phys. A Math. Theor., 42
A.D. Gottlieb (2005)
Convergence of continuous-time quantum walks on the linePhys. Rev. E, 72
X. Xu (2009)
Coherent exciton transport and trapping on long-range interacting cyclesPhys. Rev. E, 79
S. Salimi (2008)
Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theoryInt. J. Theor. Phys., 47
A. Romanelli, R. Siri, G. Abal, A. Auyuanet, R. Donangelo (2005)
Decoherence in the quantum walk on the lineJ. Phys. A, 347
E. Farhi, S. Gutmann (1998)
Quantum computation and decision treesPhys. Rev. A, 58
N. Konno (2009)
One-dimensional discrete-time quantum walks on random environmentsQuant. Inf. Process., 8
M. Pioro-Ladriere, R. Abolfath, P. Zawadzki, J. Lapointe, S.A. Studenikin, A.S. Sachrajda, P. Hawrylak (2005)
Charge sensing of an artificial H 2 + molecule in lateral quantum dotsPhys. Rev. B, 72
E.W. Montroll, G.H. Weiss (1965)
Random walks on lattices. IIJ. Math. Phys, 6
G.B. Arfken, H.J. Weber (1972)
Mathematical Methods for Physicists, Chapter 5
H. Krovi, T.A. Brun (2007)
Quantum walks on quotient graphsPhys. Rev. A, 75
D.J. Watts, S.H. Strogatz (1998)
Collective dynamics of ’small-world’ networksNature, 393
A.P. Hines, P.C.E. Stamp (2007)
Quantum walks, quantum gates, and quantum computersPhys. Rev. A, 75
O. Mülken, A. Blumen (2005)
Slow transport by continuous time quantum walksPhys. Rev. E, 71
S. Salimi (2009)
Continuous-time quantum walks on star graphsAnn. Phys., 324
S.A. Gurvitz (1998)
Rate equations for quantum transport in multidot systemsPhys. Rev. B, 57
M.A. Jafarizadeh, S. Salimi (2007)
Investigation of continuous-time quantum walk via spectral distribution associated with adjacency matrixAnn. Phys., 322
D. Avraham, E. Bollt, C. Tamon (2004)
One-dimensional continuous-time quantum walksQuant. Inf. Process., 3
S.A. Gurvitz (2003)
Quantum description of classical apparatus: zeno effect and decoherenceQuant. Inf. Process., 2
O. Mülken, A. Blumen (2006)
Continuous-time quantum walks in phase spacePhys. Rev. A, 73
S. Salimi, R. Radgohar (2010)
The effect of large decoherence on mixing time in continuous-time quantum walks on long-range interacting cyclesJ. Phys. B. At. Mol. Opt. Phys., 43
X. Xu (2009)
Exact analytical results for quantum walks on star graphJ. Phys. A. Math. Theor., 42
S.A. Gurvitz (1997)
Measurements with a noninvasive detector and dephasing mechanismPhys. Rev. B, 56
J.M. Ziman (1972)
Principles of the Theory of Solids
S. Salimi, R. Radgohar (2010)
The effect of decoherence on mixing time in continuous-time quantum walks on one-dimensional regular networksInt. J. Quant. Inf., 8
A.M. Childs, J. Goldstone (2004)
Spatial search by quantum walkPhys. Rev. A, 70
V. Kendon, B. Tregenna (2003)
Decoherence can be useful in quantum walksPhy. Rev. A, 67
X. Xu (2008)
Continuous-time quantum walks on one-dimensional regular networksPhys. Rev. E, 77
W. Dür (2002)
Quantum walks in optical latticesPhys. Rev. A, 66
F.W. Strauch (2009)
Reexamination of decoherence in quantum walks on the hypercubePhys. Rev. A, 79
I.V. Belykh, V.N. Belykh, M. Hasler (2004)
Connection graph stability method for synchronized coupled chaotic systemsPhys. D, 195
N. Konno (2006)
Continuous-time quantum walks on trees in quantum probability theoryInfin. Dimens. Anal. Quant. Probab. Relat. Top., 9
L. Fedichkin, D. Solenov, C. Tamon (2006)
Mixing and decoherence in continuous-time quantum walks on cyclesQuant. Inf. Comput., 6
A. Volta, O. Mülken, A. Blumen (2006)
Quantum transport on two-dimensional regular graphsJ. Phys. A, 39
S. Salimi (2008)
Continuous-time quantum walks on semi-regular spidernet graphs via quantum probability theoryQuant. Inf. Process., 9
In this paper, we study mixing and large decoherence in continuous-time quantum walks on one dimensional regular networks, which are constructed by connecting each node to its 2l nearest neighbors (l on either side). In our investigation, the nodes of network are represented by a set of identical tunnel-coupled quantum dots in which decoherence is induced by continuous monitoring of each quantum dot with nearby point contact detector. To formulate the decoherent CTQWs, we use Gurvitz model and then calculate probability distribution and the bounds of instantaneous and average mixing times. We show that the mixing times are linearly proportional to the decoherence rate. Moreover, adding links to cycle network, in appearance of large decoherence, decreases the mixing times.
Quantum Information Processing – Springer Journals
Published: Feb 29, 2012
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.