Grover algorithm with zero theoretical failure rate
نویسندگان
چکیده
منابع مشابه
Grover search algorithm
A quantum algorithm is a set of instructions for a quantum computer, however, unlike algorithms in classical computer science their results cannot be guaranteed. A quantum system can undergo two types of operation, measurement and quantum state transformation, operations themselves must be unitary (reversible). Most quantum algorithms involve a series of quantum state transformations followed b...
متن کاملPhase Condition for the Grover Algorithm
Quantum algorithms standardly use two techniques: Fourier transforms [1] and amplitude amplification. The Grover search algorithm is based on the latter. The problem addressed by the Grover algorithm is to find a marked term (or target term in [2]) in an unsorted database of size N . To accomplish this, a quantum computer needs O (√ N ) queries using the Grover algorithm [3]. In Grover’s origin...
متن کاملStochastic 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 کاملGrover Algorithm Applied to Four Qubits System
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.
متن کاملExactness of the Original Grover Search Algorithm
Zijian Diao Mathematics Department, Ohio University Eastern Campus, St Clairsville, OH 43950, USA∗ Abstract It is well-known that when searching one out of four, the original Grover’s search algorithm is exact; that is, it succeeds with certainty. It is natural to ask the inverse question: If we are not searching one out of four, is Grover’s algorithm definitely not exact? In this article we gi...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2001
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.64.022307