activity
19962011
most citedNumerical Methods for Stochastic Differential Equations

93 citations · 313 across the 20 of their papers we have counts for

collaborators

20 papers

quant-ph2011★ 1 cited

Optimally chosen Nakajima-Zwanzig master equation for mean field approximation

Joshua Wilkie, Yin Mei Wong

We define an ensemble of projection operators, each of which has an exact associated Nakajima-Zwanzig master equation for quantum open system evolution. A mean field approximation…

quant-ph2008★ 6 cited

Manifold algorithmic errors in quantum computers with static internal imperfections

Murat Cetinbas, Joshua Wilkie

The inevitable existence of static internal imperfections and residual interactions in some quantum computer architectures result in internal decoherence, dissipation, and destruct…

quant-ph2007★ 6 cited

Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians

Murat Cetinbas, Joshua Wilkie

We derive an exact and explicit Kraus decomposition for the reduced density of a quantum system simultaneously interacting with time-dependent external fields and a chaotic environ…

quant-ph2007★ 6 cited

Kraus decomposition for chaotic environments

Murat Cetinbas, Joshua Wilkie

We consider a system interacting with a chaotic thermodynamic bath. We derive an explicit and exact Kraus operator sum representation (OSR) for the open system reduced density. The…

quant-ph2007★ 10 cited

Probing internal bath dynamics by a Rabi oscillator-based detector

Murat Cetinbas, Joshua Wilkie

By exact numerical and master equation approaches, we show that a central spin-1/2 can be configured to probe internal bath dynamics. System-bath interactions cause Rabi oscillatio…

quant-ph2007★ 6 cited

Quantum pathology of static internal imperfections in flawed quantum computers

Murat Cetinbas, Joshua Wilkie

Even in the absence of external influences the operability of a quantum computer (QC) is not guaranteed because of the effects of residual one- and two-body imperfections. Here we…