# Complementary Quantum Logic Family Using Josephson Junctions and Quantum Phase-Slip Junctions

## TL;DR

This paper introduces a new family of complementary quantum logic circuits combining Josephson junctions and quantum phase-slip junctions, enabling efficient conversion between flux and charge signals for improved integration.

## Contribution

It presents novel circuits that convert flux to charge pulses and vice versa, demonstrating their operation through simulations and highlighting potential for higher efficiency and integration density.

## Key findings

- Circuits successfully convert flux to charge signals and vice versa.
- Simulation results demonstrate functional XOR gate implementation.
- Potential for higher power efficiency and simpler design in quantum logic circuits.

## Abstract

In this article, we explore a new set of circuits, that incorporate both single-flux-quantum and quantized charge-based complementary quantum logic circuits. Circuits that convert single-flux-quantum voltage pulses to quantized charge pulses and vice versa are introduced that lead to circuits that simplify logic and integration operations of individual flux and charge based logic circuits. These include fan-out circuits that enable single flux input to several charge outputs and control gate circuit with charge input controlling flux output. The operation of these circuits is demonstrated in simulations using WRSPICE. An XOR gate implementation is presented as an example to illustrate the operation of these circuits. The developed complementary quantum logic circuits show promise for higher power efficiency and simpler design in the form of fewer junctions for a given logic implementation, leading to the possibility of higher integration density.