Monte Carlo method for a superconducting cooper-pair-box charge qubit measured by a single-electron transistor
Journal
Quantum Computing in Solid State Systems
Pages
171-179
Date Issued
2006
Author(s)
Abstract
The quantum trajectory or stochastic (conditional) master equation for a single Superconducting Cooper-pair Box (SCB) charge qubit measured by a Single-Electron Transistor (SET) detector is presented. This stochastic master equation describes the random evolution of the measured SCB qubit density matrix and is conditioned on a particular realization of the measured electron tunneling events through the SET junctions. Hence it can be regarded as a Monte Carlo method (or a quantum trajectory approach) that allows us to simulate the continuous quantum measurement process. We illustrate the connection between the quantum trajectory approach and the partially reduced density matrix approach [Y. Makhlin et al., Phys. Rev. Lett. 85, 4578 (2000)]. We also present Monte Carlo simulation results for the SCB/SET measurement process. © 2006 Springer Science+Business Media, Inc.
The quantum trajectory or stochastic (conditional) master equation for a single Superconducting Cooper-pair Box (SCB) charge qubit measured by a Single-Electron Transistor (SET) detector is presented. This stochastic master equation describes the random evolution of the measured SCB qubit density matrix and is conditioned on a particular realization of the measured electron tunneling events through the SET junctions. Hence it can be regarded as a Monte Carlo method (or a quantum trajectory approach) that allows us to simulate the continuous quantum measurement process. We illustrate the connection between the quantum trajectory approach and the partially reduced density matrix approach [Y. Makhlin et al., Phys. Rev. Lett. 85, 4578 (2000)]. We also present Monte Carlo simulation results for the SCB/SET measurement process. © 2006 Springer Science+Business Media, Inc.
SDGs
Type
book