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Abstract:
Quantum computing offers new possibilities for tackling problems that are extremely challenging for classical methods. Among different platforms, the D-Wave quantum annealer is specialized in solving optimization problems expressed in quadratic form (QUBO). This makes it particularly interesting for mapping problems in lattice field theory into a form accessible to quantum hardware.
In this talk, I will first introduce the basic principles of quantum annealing and how QUBO formulations work on the D-Wave quantum annealer. I will then demonstrate how a lattice scalar field theory with quartic interactions can be reformulated into a quadratic representation suitable for quantum annealing. Next, I will discuss techniques for handling problems with constraints, which are essential when dealing with gauge-invariant systems. Finally, I will present our first application to strong coupling lattice QCD, showing how quantum annealing can be used to explore regions of the phase diagram that are difficult for classical algorithms.