Exchange-Only Dynamical Decoupling in the 3-Qubit Decoherence Free Subsystem

TL;DR

This paper demonstrates that exchange interactions alone can implement high-order dynamical decoupling sequences in a 3-qubit decoherence free subsystem, effectively protecting against general noise through numerical simulations.

Contribution

It introduces exchange-only decoupling sequences for the 3-qubit DFS, enabling high-order noise suppression without the need for Pauli pulses.

Findings

Exchange interactions can achieve high-order decoupling.

Sequences effectively protect against classical and quantum baths.

Numerical simulations confirm sequence performance.

Abstract

The Uhrig dynamical decoupling sequence achieves high-order decoupling of a single system qubit from its dephasing bath through the use of bang-bang Pauli pulses at appropriately timed intervals. High-order decoupling of single and multiple qubit systems from baths causing both dephasing and relaxation can also be achieved through the nested application of Uhrig sequences, again using single-qubit Pauli pulses. For the 3-qubit decoherence free subsystem (DFS) and related subsystem encodings, Pauli pulses are not naturally available operations; instead, exchange interactions provide all required encoded operations. Here we demonstrate that exchange interactions alone can achieve high-order decoupling against general noise in the 3-qubit DFS. We present decoupling sequences for a 3-qubit DFS coupled to classical and quantum baths and evaluate the performance of the sequences through numerical simulations.