The main topics of my current research are:

• Quantum computation with fermions
• Random quantum circuits, approximate t-designs, complexity of quantum states and unitaries
• Characterisation and error mitigation in near-term quantum computers
• Efficient classical simulation of noisy large-scale quantum systems, with applications to quantum supremacy and quantum simulations
• Understanding the relative power and usefulness of POVMs and projective (von-Neumann) measurements in quantum information and quantum computing
• Role of various kinds of correlations (such as contextuality, non-gaussianity) for quantum computation

• Efficient quantum gates
• Variants of Solovay-Kitaev theorem
• Random quantum compilers
• t-designs and epsilon nets
• applications of control theory in quantum computing
• geometry of quantum correlations

.

• Quantum measurements: study of computing power and implementation efficiency of subsets of measurements.
• Quantum error correction: robustness of fault-tolerance proposals against real-time noise.
• Applications of free probability and random matrix theory.

As a computer scientist and an aspiring physicist, I am interested in machine learning and quantum information theory. That can lead to a reasonable conclusion that I am especially interested in quantum machine learning.

My current research activities  are focused on classical simulations of photonic quantum systems, boson sampling in particular. I’m interested in:

• studying the average-case scenarios of the algorithms for which only
  worst-case scenario was discussed,
• finding better ways of simulating quantum photonic experiments
• [as a side effect] developing a software library implementing the
  newest techniques for classical simulation of photonic quantum systems

My key areas of interest are classical simulation of quantum computers, quantum computational resources, quantum foundations, and quantum contextuality. I am a theoretical physicist with a master thesis on conformal invariance applied to quantum field theory and gravity. My research in quantum information has been on the understanding of the structure of correlations in multipartite systems. Now, as a Ph.D. student, I want to focus my studies on the role of contextuality as a resource for quantum computation.

My scientific interests include both foundations of quantum information theory and possible applications on near-term quantum devices. I am particularly interested in the theory of generalized quantum measurements (POVMs).

My research as a PhD student includes:

• characterization of measurement noise and development of methods for its mitigation;
• study of relative power of POVMs and projective measurements in various quantum information protocols;
• development of new schemes of implementation of POVMs.

My scientific interests span a wide range of topics from theoretical computer science, through theoretical physics to pure mathematics. Quantum information and computation lies at the intersection of those three. My main area of research is mathematical physics, specifically applications of geometry and topology in quantum information and computation.

My research within the group focuses on:
– entanglement in multipartite systems and its geometry
– efficient quantum gates and compilers
– projective simulations of generalized quantum measurements
– quantum walks on graphs