Strategy for implementing stabilizer-based codes on solid-state qubits

TL;DR

This paper proposes a pulse sequence-based method to implement stabilizer codes on solid-state qubits, enabling state preparation and preservation without measurements, thus advancing quantum error correction in solid-state systems.

Contribution

It introduces a novel approach using pulse sequences to realize stabilizer codes on solid-state qubits with Ising or XY interactions, avoiding measurements for state preparation.

Findings

Effective stabilizer Hamiltonian dynamics can be induced with pulse sequences.

Encoded states are prepared without measurements.

The method protects states against environmental errors.

Abstract

We present a method for implementing stabilizer-based codes with encoding schemes of the operator quantum error correction paradigm, e.g., the "standard" five-qubit and CSS codes, on solid-state qubits with Ising or XY-type interactions. Using pulse sequences, we show how to induce the effective dynamics of the stabilizer Hamiltonian, the sum of an appropriate set of stabilizer operators for a given code. Within this approach, the encoded states (ground states of the stabilizer Hamiltonian) can be prepared without measurements and preserved against both the time evolution governed by the original qubit Hamiltonian, and energy-nonconserving errors caused by the environment.