A major obstacle to implementing Shor’s quantum number-factoring algorithm is the large size of modular-exponentiation circuits. We reduce this bottleneck by customizing reversible circuits for modular multiplication to individual runs of Shor’s algorithm. Our circuit-synthesis procedure exploits spectral properties of multiplication operators and constructs optimized circuits from the traces o...

In this paper, we develop to a new operator by using together IVBFS and Dombi operators. Also, the some properties of concept are introduced like addition, scalar multiplication, power, multiplication. The presented is Interval Valued Bipolar Fuzzy Prioritized Weighted Averaging (IVBFPWDA) various offered idempotency, monotoncity, boundedness. Then, present score function similar over (IVBFSs) ...

Fuzzy arithmetic is a powerful tool in many engineering problems such as decision making , control theory, fuzzy systems and approximate reasoning. However, it is well known that the practical use of standard fuzzy arithmetic operators gives results more imprecise than necessary or in some cases, even incorrect. This problem is due to the overestimation effect induced by computing fuzzy arithme...

Abstract In this note we study the spectrum and Waelbroeck of derivative operator composed with isomorphic multiplication operators defined in space smooth functions [0, 1] which are flat at 0.

Let D be a bounded homogeneous domain in C. In this paper, we study the bounded and the compact weighted composition operators mapping the Hardy space H∞(D) into the Bloch space of D. We characterize the bounded weighted composition operators, provide operator norm estimates, and give sufficient conditions for compactness. We prove that these conditions are necessary in the case of the unit bal...

We consider the eigenvalue equation for the largest eigenvalue of certain kinds of non-compact linear operators given as the sum of a multiplication and a kernel operator. It is shown that, under moderate conditions, such operators can be approximated arbitrarily well by operators of finite rank, which constitutes a discretization procedure. For this purpose, two standard methods of approximati...