Event Details

Quantum simulation using noisy quantum circuits by Dr. Arijeet Pal, University College London

Abstract: Many-body quantum systems are notoriously hard to study theoretically due to the exponential growth of their Hilbert space. Synthetic quantum matter to simulate quantum systems has opened new ways of probing quantum many-body systems with unprecedented control, and of engineering phases of matter which are otherwise hard to find in nature. Noisy quantum circuits have become an important cornerstone for our understanding of quantum many-body dynamics. In particular, random circuits act as minimally structured toy models for chaotic nonintegrable quantum systems. In this talk I will provide an overview of quantum simulation using noisy quantum gates. Going on to focus on the physical phenomena simulable using random Clifford circuits, a class of circuits with an efficient classical algorithm for time-evolution. These circuits provide a nontrivial solvable limit and can exhibit linear growth of entanglement and and thermalisation to infinite temperature state. In this talk I will discuss the phenomena of hydrodynamics and localisation in random Clifford circuits. In the presence of U(1) conservation law, a circuit with long range gates hosts a wide range of hydrodynamic behaviour and time-periodic circuits can result in the localisation of quantum information.

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