We describe the action of symplectic group on homogeneous space squeezed states (quantum blobs) and extend this to semigroup. then metaplectic representation (or oscillator) semigroup study properties such an extension using Bargmann-Fock space. The shape geometry squeezing is analyzed noncommuting elements from are proposed be used in simultaneous monitoring quantum variables — which should le...

A novel concept of quantum random access memory (qRAM) employing a walk is provided. Our qRAM relies on bucket brigade scheme to the cells. Introducing with chirality left and right as walker, considering its motion full binary tree, we can efficiently deliver designated cells, fill desired information in form superposition states. procedure has several advantages. First, do not need place any ...

Abstract. This letter treats the quantum random walk on the line determined by a 2 × 2 unitary matrix U . A combinatorial expression for the mth moment of the quantum random walk is presented by using 4 matrices, P,Q,R and S given by U . The dependence of the mth moment on U and initial qubit state φ is clarified. A new type of limit theorems for the quantum walk is given. Furthermore necessary...

Quantum walks exhibit many unique characteristics compared to classical random walks. In the classical setting, self-avoiding random walks have been studied as a variation on the usual classical random walk. Here the walker has memory of its previous locations and preferentially avoids stepping back to locations where it has previously resided. Classical self-avoiding random walks have found nu...

We introduce a multi-coin discrete quantum random walk where the amplitude for a coin flip depends upon previous tosses. Although the corresponding classical random walk is unbiased, a bias can be introduced into the quantum walk by varying the history dependence. By mixing the biased random walk with an unbiased one, the direction of the bias can be reversed leading to a new quantum version of...