My research interests include quantum information, quantum chaos, and the connections between the two. Even after a century of the advent of quantum mechanics, quantum-classical correspondence in nonintegrable chaotic systems still remains partially understood. Defining a notion of quantum chaos in many-body systems is even trickier due to the absence of a direct classical analog of these systems governed by Hamilton's equations of motion. In the last couple of decades, ideas and tools from quantum information theory have been widely employed towards the understanding of quantum chaos and quantum-classical correspondence. One of the goals of my research is to rigorously analyze these quantum-information theoretic measures being employed as indicators of quantum chaos. My second goal is to gain a deeper understanding and insight into nonintegrability in many-body systems to analyze whether nonintegrability would always imply chaos in many-body quantum systems or not.
- 2014 Sep - 2019 Aug, Institute for Quantum Computing (IQC), University of Waterloo, PhD student.
- ESKAS, Swiss Government Excellence Scholarship (Declined).
- Mike and Ophelia Lazaridis Fellowship, Graduate Research Fellowship - IQC, University of Waterloo.
- J. Davis, M. Kumari, R.B. Mann, and S. Ghose, "Wigner negativity in spin-j systems", Phys. Rev. Research 3, 033134 (2021); arXiv: 2008.10167.
- N. Anand, G. Styliaris, M. Kumari, and P. Zanardi, "Quantum coherence as a signature of chaos", Phys. Rev. Research 3, 023214 (2021); arXiv: 2009.02760.
- M. Kumari and S. Ghose, " Untangling entanglement and chaos", Phys. Rev, A 99, 042311 (2019); arXiv: 1806.10545.
- M. Kumari and S. Ghose, "Quantum-classical correspondence in the vicinity of periodic orbits", Phys. Rev. E 97, 052209 (2018); arXiv: 1802.04711.
- M. Kumari, S. Ghose, and R.B. Mann, "Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities", Phys. Rev. A 96, 012128 (2017); arXiv: 1704.06516.
- M. Kumari, Á.M. Alhambra, "Eigenstate entanglement in integrable collective spin models", arXiv: 2108.09866.
- M. Kumari, E. Martin-Martinez, A. Kempf, and S. Ghose, "Stabilizing quantum dynamics through coupling to a quantized environment", arXiv: 1711.07906.
- "Untangling entanglement and chaos", presented at IQOQI Vienna (Austria), IQOQI Innsbruck (Austria), University of Geneva (Switzerland), University of Freiburg (Germany), and Max Planck Institute for Quantum Optics (Germany).
- "Quantum-classical correspondence in a chaotic system", CQuIC, University of New Mexico, USA.
- "Connections between Bell inequalities and symmetric extensions", Relativistic Quantum Information 11 Workshop (South), Brisbane, Australia.
- "Quantum-classical correspondence and its effect on the dynamics of quantum entanglement in kicked top", presented at Griffiths University, University of Sydney, and Macquarie University (Australia).
- "Connections between Bell inequalities and symmetric extensions", Conference on Quantum Information and Quantum Control VII (CQIQC-VII), Fields Institute, Toronto, Canada.
- PIRSA:19010066, Untangling entanglement and chaos, 2019-01-09, Perimeter Institute Quantum Discussions.