Abstract The self-consistent modeling of vacuum polarization due to virtual electron-positron fluctuations is relevance for many near term experiments associated with high intensity radiation sources and represents a milestone in describing scenarios extreme energy density. We present generalized finite-difference time-domain solver that can incorporate the modifications Maxwell’s equations pol...

Quantum channels can describe all transformations allowed by quantum mechanics. We adapt two existing works [S. Lloyd and L. Viola, Phys. Rev. A 65, 010101 (2001) and E. Andersson and D. K. L. Oi, ibid. 77, 052104 (2008)] to superconducting circuits, featuring a single qubit ancilla with quantum nondemolition readout and adaptive control. This construction is efficient in both ancilla dimension...

Coloring planar Feynman diagrams in spinor quantum electrodynamics, is a non trivial model soluble without computer. Four colors are necessary and sufficient.