Quasi non-Markovian approach to the study of decoherence of a controlled-not quantum gate in a chain of few nuclear spins quantum computer
arXiv:1206.1537
Abstract
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.
arXiv comment24 pages, 5 figures
References in corpus (13)
- Decoherence, einselection, and the quantum origins of the classical
- Driven coherent oscillations of a single electron spin in a quantum dot
- Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Non-Markovian dynamics of a qubit
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Environment--Induced Decoherence, Classicality and Consistency of Quantum Histories
- Quantum Darwinism in a hazy environment
- Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion
- Entanglement and Quantum Noise Due to a Thermal Bosonic Field
- Probing a composite spin-boson environment
- Velocity quantization approach of the one-dimensional dissipative harmonic oscillator
- Non-Makovian decoherence of a two-level system weakly coupled to a bosonic bath