Unified monogamy relation of entanglement measures
- URL: http://arxiv.org/abs/2007.04520v2
- Date: Mon, 13 Jul 2020 06:17:16 GMT
- Title: Unified monogamy relation of entanglement measures
- Authors: Xue Yang and Ming-Xing Luo
- Abstract summary: Various monogamy relations exist for different entanglement measures that are important in quantum information processing.
We propose a general monogamy inequality for all entanglement measures on entangled qubit systems.
These results are useful for exploring the entanglement theory, quantum information processing and secure quantum communication.
- Score: 4.33804182451266
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The monogamy of quantum entanglement captures the property of limitation in
the distribution of entanglement. Various monogamy relations exist for
different entanglement measures that are important in quantum information
processing. Our goal in this work is to propose a general monogamy inequality
for all entanglement measures on entangled qubit systems. The present result
provide a unified model for various entanglement measures including the
concurrence, the negativity, the entanglement of formation, Tsallis-q entropy,
Renyi-q entropy, and Unified-(q,s) entropy. We then proposed tightened monogamy
inequalities for multipartite systems. We finally prove a generic result for
the tangle of high-dimensional entangled states to show the distinct feature
going beyond qubit systems. These results are useful for exploring the
entanglement theory, quantum information processing and secure quantum
communication.
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