Open AccessQuasi non-Markovian Approach to the Study of Decoherence of a Controlled-Not Quantum Gate in a Chain of Few Nuclear Spins Quantum Computer
Author(s) -
Pablo Carlos López Vázquez,
Gustavo López Vázquez
Publication year - 2012
Publication title -
journal of modern physics
Language(s) - English
Resource type - Journals
eISSN - 2153-120X
pISSN - 2153-1196
DOI - 10.4236/jmp.2012.39118
Subject(s) - quantum decoherence , physics , quantum dissipation , spins , quantum mechanics , dissipation , quantum , quantum entanglement , controlled not gate , quantum computer , quantum gate , condensed matter physics
We develop in the weak coupling approximation a quasi-non-Markovian master equation and study the phenomenon of decoherence during the operation of a controlled-not (CNOT) quantum gate in a quantum computer model formed by a linear chain of three nuclear spins system with second neighbor Ising interaction between them. We compare with the behavior of the Markovian counterpart for temperature different from zero (thermalization) and at zero temperature for low and high dissipation rates. At low dissipation there is a very small difference between Markovian and quasi no-Markovian at any temperature which is unlikely to be measured, and at high dissipation there is a difference which is likely to be measured at any temperature