Quantum walk on distinguishable non-interacting many-particles and indistinguishable two-particle

Chandrashekar, C.; Busch, Th.
October 2012
Quantum Information Processing;Oct2012, Vol. 11 Issue 5, p1287
Academic Journal
We present an investigation of many-particle quantum walks in systems of non-interacting distinguishable particles. Along with a redistribution of the many-particle density profile we show that the collective evolution of the many-particle system resembles the single-particle quantum walk evolution when the number of steps is greater than the number of particles in the system. For non-uniform initial states we show that the quantum walks can be effectively used to separate the basis states of the particle in position space and grouping like state together. We also discuss a two-particle quantum walk on a two-dimensional lattice and demonstrate an evolution leading to the localization of both particles at the center of the lattice. Finally we discuss the outcome of a quantum walk of two indistinguishable particles interacting at some point during the evolution.


Related Articles

  • Special issue on quantum walks. Shikano, Yutaka // Quantum Information Processing;Oct2012, Vol. 11 Issue 5, p1013 

    No abstract available.

  • Time averaged distribution of a discrete-time quantum walk on the path. Ide, Yusuke; Konno, Norio; Segawa, Etsuo // Quantum Information Processing;Oct2012, Vol. 11 Issue 5, p1207 

    The discrete time quantum walk which is a quantum counterpart of random walk plays important roles in the theory of quantum information theory. In the present paper, we focus on discrete time quantum walks viewed as quantization of random walks on the path. We obtain a weak limit theorem for the...

  • Dynamical localization for d-dimensional random quantum walks. Joye, Alain // Quantum Information Processing;Oct2012, Vol. 11 Issue 5, p1251 

    We consider a d-dimensional random quantum walk with site-dependent random coin operators. The corresponding transition coefficients are characterized by deterministic amplitudes times independent identically distributed site-dependent random phases. When the deterministic transition amplitudes...

  • Combining semiclassical time evolution and quantum Boltzmann operator to evaluate reactive flux correlation function for thermal rate constants of complex systems. Yamamoto, Takeshi; Wang, Haobin; Miller, William H. // Journal of Chemical Physics;5/1/2002, Vol. 116 Issue 17, p7335 

    The semiclassical (SC) initial value representation (IVR) provides a way for including quantum effects into classical molecular dynamics simulations. Implementation of the SC-IVR to the thermal rate constant calculation, based on the reactive flux correlation function formalism, has two major...

  • Asymptotic distributions of quantum walks on the line with two entangled coins. Liu, Chaobin // Quantum Information Processing;Oct2012, Vol. 11 Issue 5, p1193 

    We advance the previous studies of quantum walks on the line with two coins. Such four-state quantum walks driven by a three-direction shift operator may have nonzero limiting probabilities (localization), thereby distinguishing them from the quantum walks on the line in the basic scenario...

  • Analysis of the two-particle controlled interacting quantum walks. Li, Dan; Zhang, Jie; Ma, Xiu-Wen; Zhang, Wei-Wei; Wen, Qiao-Yan // Quantum Information Processing;Jun2013, Vol. 12 Issue 6, p2167 

    We have recently proposed the two-particle controlled interacting quantum walks for building quantum Hash schemes (Li et al. Quantum Inf Proc, . doi:). In this paper, we adopt the mutual information, the measurement-induced disturbance and the quantum mutual information to measure the classical...

  • Quantum random walk for U[sub q](su)(2)) and a new example of quantum noise. Lenczewski, Romuald // Journal of Mathematical Physics;May96, Vol. 37 Issue 5, p2260 

    Studies the quantum random walk for the Hopf algebra U[sub q](su(2)). Central limit theorem for sample sums of the algebra; Convergence of finite joint correlations for the sample sums; Framework for the general theory of quantum noise on graded bioalgebras.

  • The penalty method for random walks with uncertain energies. Ceperley, D.M.; Dewing, M. // Journal of Chemical Physics;5/22/1999, Vol. 110 Issue 20, p9812 

    Focuses on the generalization of the random walk algorithm to the situation where the energy is noisy and can only be estimated. Applications for a long range potentials and for mixed quantum-classical simulations; Ability to modify the acceptance probability by applying a penalty to the energy...

  • Map of discrete system into continuous. Tarasov, Vasily E. // Journal of Mathematical Physics;Sep2006, Vol. 47 Issue 9, p092901 

    Continuous limits of discrete systems with long-range interactions are considered. The map of discrete models into continuous medium models is defined. A wide class of long-range interactions that give the fractional equations in the continuous limit is discussed. The one-dimensional systems of...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics