Manimugdha Saikia (he/him)

I recently completed my PhD in Mathematics at the University of Western Ontario (UWO) under the supervision of Prof Tatyana Barron. My PhD thesis is titled "Analytic Properties of Quantum States on Manifolds."

During my PhD studies, I have investigated various quantum information-theoretic aspects of quantum Hilbert spaces arising from complex manifolds. I am particularly passionate about quantum information theory and quantum computing, with a focus on quantum circuit synthesis, quantum algorithms, error-correcting codes and quantum cryptography. Additionally, I am working on partial solutions to the problem of distillability of NPT quantum states.

Previously, I completed an MSc in Mathematics (2019-2020) at the University of Western Ontario, an MSc in Mathematics and Computing (2017-2019) at the Indian Institute of Technology (IIT) Guwahati and a BSc with a major in Mathematics (2014-2017) at Tezpur University.

I am currently looking for a position where I can expand my expertise and contribute to the advancements of these dynamic fields.

(Pre-)Publications

4. A.R. Kalra, M. Saikia, D. Valluri, S. Winnick and J. Yard, Multi-qutrit exact synthesis [arXiv ]

3. M. Saikia, Restrictions of holomorphic sections to products [arXiv], submitted for publication

2. T. Barron and M. Saikia, Semiclassical asymptotics and entropy [arXiv][Journal], J. Phys.: Conf. Ser. 2667 (2023) 012050. DOI: doi.org/10.1088/1742-6596/2667/1/012050

1. T. Barron and M. Saikia, Average entropy and asymptotics [arXiv][Journal], J. Korean Math. Soc. 61 (2024), No. 1, pp. 91–107. DOI: doi.org/10.4134/JKMS.j230152

Upcoming and past talks

Restrictions of holomorphic sections to products, Ontario Graduate Mathematics Conference, University of Waterloo, Jun 2024
Multi-qutrit exact synthesis over Clifford+T, Student Research Session, Canadian Mathematical Society Summer Meeting'24, University of Saskatchewan, Jun 2024
Restrictions of holomorphic sections to products, Invited Talk, Symplectic and Poisson Geometry Session, Canadian Mathematical Society Summer Meeting'24, University of Saskatchewan, Jun 2024
Quantum Superdense Coding and Deutsch-Jozsa algorithm, Western Quantiers, Department of Mathematics, University of Western Ontario, Nov 2023.
Analytic properties of quantum states associated with complex manifolds, Graduate Seminar, Department of Mathematics, University of Western Ontario, Nov 2023.
A space-filling curve, Indian Institute of Technology Guwahati, India, Oct 2018.

Project Supervision

Mentored an undergraduate student under the “Directed Reading Program” at the University of Western Ontario, on the topic “How quantum algorithms can be faster for certain computations”, Fall 2023.
Mentored an undergraduate student under the “Directed Reading Program” at the University of Western Ontario, on the topic “Introduction to Hyperbolic Geometry”, Fall 2019.

Teaching Assistant (at UWO)

Math 2122, Real Analysis I with weekly tutorial sessions: Winter 2024.
Math 1600, Linear Algebra I with weekly tutorial sessions: Summer 2023, Fall 2022, Summer 2022, Winter 2022, Fall 2021, Summer 2021, and Winter 2021.
MATH 1228, Methods of Finite Mathematics: Summer 2020, Winter 2020, and Fall 2019. In the summer of 2020, the instructor of this course created a textbook to be used for future instructions at Western University. I designed all the exercises for one of the chapters.
MATH 2155, Mathematical Structures where I was assigned office hours per week: Fall 2022, and Fall 2023.
MATH 2156, Mathematical Structures II where I was assigned office hours per week: Winter 2021, and Winter 2022.
MATH 4156/9056, Complex Analysis II: Winter 2023.
CALCULUS 1500, Calculus I for the Mathematical Sciences: Fall 2023.
CALCULUS 1501, Calculus II for Mathematical and Physical Sciences where I was assigned office hours for help during the exam periods: Winter 2023, and Winter 2024.
CALC 1000, Calculus I: Fall 2021, and Fall 2020.
MATH 1225, Methods of Matrix Algebra where I was assigned office hours for help during the exam periods: Winter 2020.
MATH 1229, Methods of Calculus where I was assigned office hours for help during the exam periods: Summer 2020, Fall 2019.

Projects

Maximizing Antenna Coverage Using NAQC - Implemented in Pulser SDK

Developed a hybrid quantum-classical algorithm for optimizing antenna placement without interference on Neutral Atom Quantum Computers (NAQC).
Secured first place in this hackathon challenge as part of my team.

Classically verifiable quantum advantage from a computational Bell test- implementation in Classiq Qmod

Designed and simulated a computational Bell test-like protocol, iteratively refining the quantum circuit to ensure efficiency and accuracy.
Demonstrated quantum computational advantage by executing an interactive protocol presented here, involving multiple rounds of interaction between a quantum prover and a classical verifier.

Some other platforms where you can find me: Google Scholar LinkedIn GitHub

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