Utilização do teleporte quântico na computação quântica tolerante a falhas.

Abstract

Computing and quantum cryptography field have been of intense study in recent decades. Contributed to the emergence of schemes for error correction via quantum codes and procedures for building fault-tolerant quantum gates. Also the use of arbitrary quantum state space larger than two (qubit), have recently been shown to be relevant to the implementation of cost reduction in physical systems of universal quantum gates [1]. The quantum teleportation is a technique used to move quantum states from one place to another without the need for transmission system storing quantum information. It can be shown that this procedure is a basic ingredient in the construction of schemes for error protection. Thus quantum teleportation arises as a key resource in the field of secure quantum communication, and their applicability, are featured in Quantum Information Theory in the areas of Cryptography, Communication and Computing. The main objective of this paper is to present a quantum teleportation scheme using two qudits in the construction of a classical logic capable of protecting generalized quantum gates (dGxor) fail, or operations against possible errors. To this end use is arbitrary quantum states (qudits) belonging to the Hilbert space d-dimensional. The theoretical study of d-dimensional space (d> 2) has proven useful in the construction of encoding schemes for quantum error correction. The scheme proposed here is a generalization of that presented by [2], which uses quantum teleportation two qubits to construct a quantum gate (C-NOT) fault-tolerant operations.