Synthesizing five-body interaction in a superconducting quantum circuit

TL;DR

This paper demonstrates the synthesis of a five-body interaction in a superconducting quantum circuit, enabling advanced quantum simulations and the generation of complex entangled states like GHZ with high fidelity.

Contribution

It introduces a method to realize five-body spin-exchange interactions using superconducting circuits, expanding the capabilities for quantum simulation of many-body systems.

Findings

Generated a GHZ state with fidelity 0.685 during five-body interaction.

Compared noise effects on three-, four-, and five-body interactions.

Demonstrated a many-body Mach-Zehnder interferometer with potential Heisenberg-limit sensitivity.

Abstract

Synthesizing many-body interaction Hamiltonian is a central task in quantum simulation. However, it is challenging to synthesize interactions including more than two spins. Borrowing tools from quantum optics, we synthesize five-body spin-exchange interaction in a superconducting quantum circuit by simultaneously exciting four independent qubits with time-energy correlated photon quadruples generated from a qudit. During the dynamic evolution of the five-body interaction, a Greenberger-Horne-Zeilinger state is generated in a single step with fidelity estimated to be $0.685$. We compare the influence of noise on the three-, four- and five-body interaction as a step toward answering the question on the quantum origin of chiral molecules. We also demonstrate a many-body Mach-Zehnder interferometer which potentially has a Heisenberg-limit sensitivity. This study paves a way for quantum simulation involving many-body interactions and high excited states of quantum circuits.