The question whether quantum field theories can be efficiently simulated by quantum computers was first posed by Feynman three decades ago when he introduced the notion of quantum computers (1). Since then, efficient quantum algorithms have been developed to simulate the dynamics of quantum lattice models and quantum systems with a fixed number of particles (2-7), but the question about quantum field theories has remained open. In this paper, we show that quantum computers can efficiently calculate scattering probabilities in continuum φ 4 theory to an arbitrary degree of precision. We choose φ 4 theory because it 1
Another example is REF , which presents a quantum algorithm to compute scattering probabilities in a certain quantum field theory (φ 4 theory).
Quantum Algorithms for Quantum Field Theories
Science 336, 1130-1133 (2012)
Physics Medicine