Gigahertz Sub-Landauer Momentum Computing

We introduce a fast and highly efficient physically realizable bit swap. Employing readily available scalable Josephson junction microtechnology, the design implements recently introduced paradigm of momentum computing. Its nanosecond speeds sub-Landauer thermodynamic efficiency arise from dynamically storing memory in degrees freedom. As such, during swap, microstate distribution is never near equilibrium memory-state dynamics fall far outside stochastic thermodynamics that assumes detailed-balanced Markovian dynamics. The device bit-swap operation---a fundamental operation necessary to build reversible universal Extensive, calibrated simulations demonstrate performance robust computing can support thermodynamically efficient, high-speed, large-scale general-purpose circumvents Landauer's bound.