Quantum Entropy-preserving Stochastic Averages
Year: 2011
Type: preprint
Abstract: For a given quantum state $\rho$ and two quantum operations $\Phi$ and $\Psi$, the information encoded in the quantum state $\rho$ is quantified by its von Neumann entropy $§(\rho)$. By the famous Choi-Jamiolkowski isomorphism, the quantum operation $\Phi$ can be transformed into a bipartite state, the von Neumann entropy $§^{\mathrm{map}}(\Phi)$ of the bipartite state describes the decoherence induced by $\Phi$. In this Letter, we characterize not only the pairs $(\Phi, \rho)$ which satisfy $§(\Phi(\rho))=§(\rho)$, but also the pairs $(\Phi, \Psi)$ which satisfy $§^{\mathrm{map}}(\Phi\circ\Psi) = §^{\mathrm{map}}(\Psi)$.
Source: arXiv (Cornell University)
Authors: Zhang Lin, Junde Wu
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1558829089