Grover Algorithm Applied to Four Qubits System

نویسندگان

  • Z. Sakhi
  • A. Tragha
  • R. Kabil
  • M. Bennai
چکیده

We present some applications of quantum algorithm on many qubits system. We focus in particular on Grover algorithm which we apply to four qubits case. We give definition of some quantum gates used in the context of Grover algorithm as Hadamard gate. We consider specially the case of four qubits system and show that Grover algorithm allows as obtaining a maximal probability to get the result.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Grover search with pairs of trapped ions

The desired interference required for quantum computing may be modified by the wave function oscillations for the implementation of quantum algorithms[Phys.Rev.Lett.84(2000)1615]. To diminish such detrimental effect, we propose a scheme with trapped ion-pairs being qubits and apply the scheme to the Grover search. It can be found that our scheme can not only carry out a full Grover search, but ...

متن کامل

Dissipative decoherence in the Grover algorithm

Using the methods of quantum trajectories we study effects of dissipative decoherence on the accuracy of the Grover quantum search algorithm. The dependence on the number of qubits and dissipation rate are determined and tested numerically with up to 16 qubits. As a result, our numerical and analytical studies give the universal law for decay of fidelity and probability of searched state which ...

متن کامل

Stochastic Simulation of Grover ’ s Algorithm

We simulate Grover's algorithm in a classical computer by means of a stochastic method using the Hubbard-Stratonovich decomposition of n-qubit gates into one-qubit gates integrated over auxiliary fields. The problem reduces to finding the fixed points of the associated system of Langevin differential equations. The equations are obtained automatically for any number of qubits by employing a com...

متن کامل

nt - p h / 03 10 13 4 v 3 1 4 D ec 2 00 5 Quantum Algorithms for the Triangle Problem ∗

We present two new quantum algorithms that either find a triangle (a copy of K3) in an undirected graph G on n nodes, or reject if G is triangle free. The first algorithm uses combinatorial ideas with Grover Search and makes Õ(n) queries. The second algorithm uses Õ(n) queries, and it is based on a design concept of Ambainis [Amb04] that incorporates the benefits of quantum walks into Grover se...

متن کامل

Gr O V E R 's S E a R C H a L G O R I Th M : a N O P Ti C a L a P P R O a C H

Abstrac t. T he essential operations of a quantum computer can be accomplished using solely optical elements, with di€ erent polarization or spatial modes representing the individual qubits. We present a simple all-optical implementation of Grover’ s algorithm for e cient searching, in which a database of four elements is searched with a single query. By `compiling’ the actual set-up, we have ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Computer and Information Science

دوره 4  شماره 

صفحات  -

تاریخ انتشار 2011