Superconducting circuits based on Josephson junctions can exhibit macroscopic quantum coherence.Quantum computation with superconducting circuits is one of the most important research directions in the field of quantum information.Moreover,the study of the physical properties of superconducting circuits is an interdisciplinary area of both condensed matter physics and quantum optics.A brief overview is presented of the main results and advancements achieved so far,as well as future prospects,in the area of superconducting quantum computation.
•Classical superconducting circuit simulators are powerful and available. •Include Josephson junction as basic element. •Provide efficient time-domain simulations of complex circuits. •May show effects otherwise attributed to quantum circuits.
•Circuits of coupled superconducting qubits are being developed for quantum computing (QC). •Entangled quantum theory incompatible with classical simulators. •Quantum model difficult to simulate on conventional computers for complex circuits already being tested. •Classical circuit simulations should provide the baseline to compare with quantum effects, but this is seldom done. •Coupled oscillators are delocalized even in classical limit.