Sharma-Mittal Quantum Discord
arXiv:1812.00752 · doi:10.1007/s11128-019-2289-3
Abstract
We demonstrate a generalization of quantum discord using a generalized definition of von-Neumann entropy, which is Sharma-Mittal entropy; and the new definition of discord is called Sharma-Mittal quantum discord. Its analytic expressions are worked out for two qubit quantum states as well as Werner, isotropic, and pointer states as special cases. The R{é}nyi, Tsallis, and von-Neumann entropy based quantum discords can be expressed as limiting cases for of Sharma-Mittal quantum discord. We also numerically compare all these discords and entanglement negativity.
arXiv commentThis article is similar to the one published in Quantum Information Processing (2019) 18 (6), 169
References in corpus (15)
- Quantum entanglement
- Introducing Quantum Discord
- Classical, quantum and total correlations
- High-rate quantum cryptography in untrusted networks
- Quantum discord as resource for remote state preparation
- Global Quantum Discord in Multipartite Systems
- Computing quantum discord is NP-complete
- Quantum discord and its allies: a review
- A closed-form expression for the Sharma-Mittal entropy of exponential families
- On Rényi and Tsallis entropies and divergences for exponential families
- Rényi squashed entanglement, discord, and relative entropy differences
- A new criteria for zero quantum discord
- Quantum correlations in a system of nuclear s=1/2 spins in a strong magnetic field
- Quantum discord of states arising from graphs
- Revealing Tripartite Quantum Discord with Tripartite Information Diagram