Holographic Gaussian Boson Sampling with Matrix Product States on 3D cQED Processors

TL;DR

This paper presents a method for simulating multi-mode quantum states using matrix product states on 3D cQED processors, enabling applications like molecular docking via holographic Gaussian boson sampling.

Contribution

It introduces quantum circuits for multi-mode state simulations on 3D cQED processors using matrix product states, demonstrating potential for practical applications like molecular docking.

Findings

cQED devices can simulate multimode systems with measurement-based re-purposing

Holographic GBS can be implemented on compact 3D cQED processors

Simulations can be adapted to qubit-based quantum computers using Fock state expansions

Abstract

We introduce quantum circuits for simulations of multi-mode state-vectors on 3D cQED processors, using matrix product state representations. The circuits are demonstrated as applied to simulations of molecular docking based on holographic Gaussian boson sampling, as illustrated for binding of a thiol-containing aryl sulfonamide ligand to the tumor necrosis factor-$\alpha$ converting enzyme receptor. We show that cQED devices with a modest number of modes could be employed to simulate multimode systems by re-purposing working modes through measurement and re-initialization. We anticipate a wide range of GBS applications could be implemented on compact 3D cQED processors analogously, using the holographic approach. Simulations on qubit-based quantum computers could be implemented analogously, using circuits that represent continuous variables in terms of truncated expansions of Fock states.