Quantum circuits based on coded qubits encoded in chirality of electron spin complexes in triple quantum dots

TL;DR

This paper develops a theoretical framework for quantum circuits using chirality-encoded qubits in triple quantum dots, demonstrating initialization, control, measurement, and two-qubit gate implementation.

Contribution

It introduces a microscopic model for chirality-based qubits in triple quantum dots and maps their interactions to an Ising Hamiltonian for quantum gate operations.

Findings

Successful initialization, control, and measurement of chirality qubits.

Derivation of an effective Ising Hamiltonian for two-qubit interactions.

Implementation of a conditional two-qubit phase gate.

Abstract

We present a theory of quantum circuits based on logical qubits encoded in chirality of electron spin complexes in lateral gated semiconductor triple quantum dot molecules with one electron spin in each dot. Using microscopic Hamiltonian we show how to initialize, coherently control and measure the quantum state of a chirality based coded qubit using static in-plane magnetic field and voltage tuning of individual dots. The microscopic model of two interacting coded qubits is established and mapped to an Ising Hamiltonian, resulting in conditional two-qubit phase gate.