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Center for Nonlinear Studies |
Quantum field theory provides the framework for the Standard Model and plays a key role in physics. However, calculations are generally computationally complex and limited to weak interaction strengths. I shall describe how a quantum computer can efficiently compute relativistic scattering amplitudes in quantum field theories, achieving an exponential speedup over known classical methods.Conversely, a (1+1)-dimensional scalar quantum field theory can implement scalable, universal quantum computation. Several ideas and techniques in this construction and its analysis have connections with AMO physics. A novel means of performing two-qubit unitary operations is required, because, as we demonstrate, two-qubit gates like those proposed for Josephson-junction qubits are not possible in the theory considered. The implications of this research for computational complexity and quantum field theory will be discussed, as well as applications arising from it.
Host: Rolando Somma