Kraus decomposition for chaotic environments
arXiv:0709.3608 · doi:10.1016/j.physleta.2007.08.064
Abstract
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 OSR preserves the Hermiticity, complete positivity and norm. We show that it is useful as a numerical tool by testing it against exact results for a qubit interacting with an isolated flawed quantum computer. We also discuss some interesting qualitative aspects of the OSR.
References in corpus (20)
- Quantum state engineering with Josephson-junction devices
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Scalable quantum computing with Josephson charge qubits
- Quantum Chaos Border for Quantum Computing
- Fidelity Decay as an Efficient Indicator of Quantum Chaos
- Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
- Two - Level Atom - Field Interaction: Exact Master Equations for Non-Markovian Dynamics, Decoherence and Relaxation
- Integrability and Quantum Chaos in Spin Glass Shards
- Fidelity and Purity Decay in Weakly Coupled Composite Systems
- Two qubits entanglement dynamics in a symmetry-broken environment
- Entanglement Sharing and Decoherence in the Spin-Bath
- Quantum-Classical Correspondence via Liouville Dynamics: II. Correspondence for Chaotic Hamiltonian Systems
- Decoherence of spin echoes
- Suppression of decoherence via strong intra-environmental coupling
- Emergence of Fermi-Dirac Thermalization in the Quantum Computer Core
- When is Quantum Decoherence Dynamics Classical?
- Manifestation of Quantum Chaos in Electronic Band Structures
- Dynamics of a Simple Quantum System in a Complex Environment
- Probing internal bath dynamics by a Rabi oscillator-based detector
- Quantum pathology of static internal imperfections in flawed quantum computers