Abstract
In this paper, we conjecture a monotonicity property that we call monotonicity under coarse-graining for a class of multi-partite entanglement measures. We check these properties by computing the measures for various types of states using different methods.
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Acknowledgments
We would like to thank Gautam Mandal, Arvind Nair, Onkar Parrikar, Pratik Rath, Pranab Sen, Piyush Shrivastava, Sandip Trivedi for interesting discussions. We are particularly indebted to Shiraz Minwalla for his insightful comments. This work is supported by the Infosys Endowment for the study of the Quantum Structure of Spacetime and by the SERB Ramanujan fellowship. We acknowledge the support of the Department of Atomic Energy, Government of India, under Project Identification No. RTI 4002. HK would like to thank KVPY DST fellowship for partially supporting his work. Finally, we acknowledge our debt to the people of India for their steady support to the study of the basic sciences.
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Gadde, A., Jain, S., Krishna, V. et al. Monotonicity conjecture for multi-party entanglement. Part I. J. High Energ. Phys. 2024, 25 (2024). https://doi.org/10.1007/JHEP02(2024)025
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DOI: https://doi.org/10.1007/JHEP02(2024)025