PART TWO: Deterministic multi-phonon entanglement between two mechanical resonators on separate chips

Quantum acoustics have emerged as a promising avenue for harnessing phonons in the context of quantum information processing and storage. Several experiments have demonstrated the feasibility of manipulating and measuring phononic states within mechanical resonators integrated with superconducting quantum circuits. In this study, we present deterministic entanglement generation and subsequent tomographic analysis of two physically distinct surface acoustic resonators, with control and analysis using two superconducting qubits. Our results open the door for more advanced quantum protocols using mechanical systems with extended lifetimes, including quantum error correction. In the second part of this presentation, we describe the preparation and measurement of multiphonon states entangled between the two physically distinct surface acoustic wave resonators, as well as quantum tomography of these states based on their interactions with the two superconducting qubits.