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Framework for discrete-time quantum walks and a symmetric walk on a binary tree
discrete-time quantum walks symmetric walk Framework Quantum Physics
2011/10/9
Abstract: We formulate a framework for discrete-time quantum walks, motivated by classical random walks with memory. We present a specific representation of the classical walk with memory 2 on which t...
Adiabatic Theorem for Discrete Time Evolution
adiabatic theorem quantum map quantum circuit Quantum Physics
2011/10/8
Abstract: A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.
We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and
continuous-time ...
Discrete Time and Finite State Reflected Backward Stochastic Difference Equations
BSDE DF-RBSDE Comparison Theorem g-martingale mul-tiple prior martingale Knightian uncertainty
2010/4/27
In this paper, we firstly establish the discrete time and finite state reflected backward stochastic difference equations(DF-RBSDEs for short); then we explore the corresponding basic properties and t...
We show that certain types of quantum walks can be modeled as waves that propagate in a medium with phase and group velocities that are explicitly calculable. Since the group and phase velocities indi...