research
I’m a postdoctoral fellow at the Basque Center for Applied Mathematics, in Bilbao, Spain. I’m also part of the Nquire group Quantum Computing and Architectures.
We are currently working on quantum metrology for rotational systems, among other things.
I’m interested in foundations and operational approaches to quantum information. I also like to keep an eye on attempts to “gravitise quantum mechanics”. Lately, I’m growing an interest in geometric aspects of the space of positive semidefinite linear operators, informationally complete POVMs, discrete and continuous quantum t-designs, and Bayesian quantum metrology.
Before coming to Bilbao, I was a postdoc at the Portuguese Quantum Institute. I hold a PhD from the University of Lisbon, and an MSc from The University of Nottingham, both in Physics.
Publications
- M. C., Diffeomorphism invariance and general covariance: a pedagogical introduction (2024).
- S. Abend, et al.,Terrestrial very-long-baseline atom interferometry: Workshop summary, AVS Quantum Sci. 6, 024701 (2024)
- M. C., Sensing and Communication with Quantum Microwaves, PhD thesis (Instituto Superior Técnico, 2023).
- M. C. et al., Propagating Quantum Microwaves: Towards Real-life Applications in Communication and Sensing, Quantum Sci. Technol. 8 023001 (2023).
- Tasio Gonzalez-Raya, M. C., Florian Fesquet, Michael Renger, Vahid Salari, Mikko Möttönen, Yasser Omar, Frank Deppe, Kirill G. Fedorov, Mikel Sanz, Open-Air Microwave Entanglement Distribution for Quantum Teleportation, Published in Phys. Rev. Applied 18, 044002 (2022).
- M. C., Yasser Omar, and Mikel Sanz, Bi-frequency illumination: a quantum-enhanced protocol, Adv Quantum Technol., 5, 2100051 (2022)*.
- M. C., Quantum Field Signalling in Curved Spacetime, MSc thesis (The University of Nottingham, 2015).
Teaching and tutoring
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2023/24: Final Year Project co-supervision
Student: Alexandre K. Veiga
Course: 1st Cycle Integrated Project in Engineering Physics, Instituto Superior Técnico – University of Lisbon (9 ECTS)
Title of dissertation: “Information Completeness and Quantum Tomography”
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2023/24: Teaching Assistant
Course: Introduction to Quantum Information and Computation (7.5 ECTS)
Program: Master’s in Applied Mathematics and Computation, Minor in Quantum Science and Technologies
University: Instituto Superior Técnico – Universidade de Lisboa
Lectures and Problem Sets: The density operator
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2018/19: Teaching Assistant
Course: Physics of Classical and Quantum Information (7.5 ECTS)
Program: Advanced Studies Diploma in Electrical and Computer Engineering, the Advanced Studies Diploma in Technological Physics Engineering, and the Advanced Studies Diploma in Physics
University: Instituto Superior Técnico – Universidade de Lisboa
Lectures and Problem Sets: Entanglement theory, teleportation, quantum phase estimation
*The paper Bi-frequency illumination: a quantum-enhanced protocol was highlighted in the cover of the journal.
