# Hardware implementation of quantum stabilizers in superconducting circuits

## TL;DR

This paper demonstrates a hardware implementation of quantum stabilizers directly in superconducting circuits, enabling more robust quantum error correction through engineered Hamiltonians.

## Contribution

It introduces a novel superconducting circuit design that encodes stabilizers directly into the Hamiltonian, moving beyond software-based implementations.

## Key findings

- Energy band dispersion softening observed with increasing frustrated elements
- Close agreement between experimental results and numerical modeling
- Potential for improved quantum error correction hardware

## Abstract

Stabilizer operations are at the heart of quantum error correction and are typically implemented in software-controlled entangling gates and measurements of groups of qubits. Alternatively, qubits can be designed so that the Hamiltonian corresponds directly to a stabilizer for protecting quantum information. We demonstrate such a hardware implementation of stabilizers in a superconducting circuit composed of chains of $\pi$-periodic Josephson elements. With local on-chip flux- and charge-biasing, we observe a softening of the energy band dispersion with respect to flux that is exponential in the number of frustrated plaquette elements, in close agreement with our numerical modeling.