https://indico.imsc.res.in/event/11

Continuous measurement of quantum systems provides a standard route to quantum trajectories through the successive acquisition of information which further results in measurement back-action. In this work, we harness this back-action as a resource for global U(1) symmetry restoration where continuous measurement is combined with a U(1)-preserving unitary evolution. Starting from a U(1) symmetry-broken initial state, we simulate quantum trajectories generated by continuous measurements of both global and local observables. We show that under global monitoring, states containing superpositions of distant charge sectors restore symmetry faster than those involving nearby sectors. We establish the universality of this behavior across different measurement protocols. Finally, we demonstrate that local monitoring can further accelerate symmetry restoration for certain states that relax slowly under global monitoring. Reference: Measurement induced faster symmetry restoration in quantum trajectories, Katha Ganguly, Bijay Kumar Agarwalla [arXiv]

‘Place-based’ pedagogies are a way to connect students and citizens with our local surroundings, enhance ecological awareness and drive environmental stewardship. In this talk I will describe a ‘River Curriculum’ being developed for school students by Jeevitnadi (Living River Foundation), a citizen-led nonprofit organization in Pune dedicated to reviving the rivers which are a lifeline of the city. https://www.imsc.res.in/outreach/lectures/2026.07.14_JR.png

In this talk, I will discuss the lower bound question for modular circuits, where each gate computes a Boolean function over the sum of its inputs based on the remainder with respect to some modulus. It is a long-standing conjecture that such circuits require large size to compute AND when their depth, and each modulus used in the gates, is restricted to a constant. We study a recently introduced framework of polynomial approximations, called torus polynomials, as a method to make progress on this conjecture. We show how some previous results in this direction, and techniques used for these results, are captured by our method. Finally, we propose an approach to make further progress based on this method. This is a joint work with Jayalal Sarma at CSE, IIT Madras. Speaker Bio: Vaibhav is a postdoctoral researcher at IMSc, Chennai. He completed his PhD from IIT Bombay under the supervision of Sundar Vishwanathan and Nutan Limaye.