Entanglement Evolution of Noisy Quantum Systems: Master Equation-TFD Solutions
Urjjarani Patel, KVS Shiv Chaitanya
TL;DR
This paper introduces a Thermofield Dynamics approach combined with Hartree-Fock approximation to analytically solve and analyze entanglement evolution in noisy open quantum systems, providing a new efficient method.
Contribution
It presents a novel application of TFD and Hartree-Fock approximation to solve quantum master equations analytically for noisy systems, enabling detailed entanglement analysis.
Findings
Analytical solutions for entanglement dynamics in noisy systems
Effective use of TFD for open quantum system problems
Insights into quantum mutual information evolution
Abstract
In this paper, Thermofield Dynamics (TFD) is applied to map a quantum optics nonlinear master equation into a Schrodinger-like equation for any arbitrary initial condition. This formalism provides a more efficient way for solving open quantum system problems. Then we use the Hartree-Fock approximation to solve the master equations of two separate noisy quantum systems analytically, which allows us to analyze the entanglement and quantum mutual information in each case using the eigenvalues of a covariance matrix, followed by two-mode and single-mode squeezed states.
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Taxonomy
TopicsQuantum Information and Cryptography · Mechanical and Optical Resonators · Quantum many-body systems