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Computación y Sistemas

Print version ISSN 1405-5546

Comp. y Sist. vol.19 n.1 México Jan./Mar. 2015

http://dx.doi.org/73 

Artículos

 

Times of Execution of the Quantum NOT Gate Operating on One of Two Interacting Qubits

 

Manuel Ávila and Laura Alejandra Peñaloza

 

Universidad Autónoma de Estado de México, Centro Universitario UAEM Valle de Chalco, Estado de México, México. alejandra_penaloza@live.com.mx.

Corresponding author is Laura Alejandra Peñaloza.

 

Article received on 11/06/2014.
Accepted on 09/01/2015.

 

Abstract

It is generally believed that entanglement speeds up Quantum Information Processing (QIP). However, we prove that for a system of two interacting qubits through a XXZ Hamiltonian which are maximally entangled it is not possible to execute a quantum NOT gate operating on one of these two qubits. The interaction between the two qubits means presence of noise in one of them. If the two interacting qubits are not entangled, the times of execution of the quantum NOT gate operating on one of the two qubits are not small enough. Since the times of execution of the quantum NOT gate operating on one of the two interacting qubits is extremely large, we conclude that the execution of the quantum NOT gate operating on one of two interacting qubits is not possible.

Keywords: XXZ Hamiltonian, qubits, quantum NOT gate.

 

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