aiqbench analysis
This research introduces a hybrid quantum architecture combining qubits with bosonic oscillators to efficiently simulate strongly-correlated fermion-boson systems, such as gauge theories, without requiring full error correction. By leveraging universal bosonic gate sets, the framework achieves "post-qubit quantum advantage" on near-term hardware like superconducting and trapped-ion platforms for problems currently intractable for classical or qubit-only quantum computers.
Hybrid Oscillator-Qubit Quantum Processors: Simulating Fermions, Bosons, and Gauge Fields
arXiv:2409.03747v2 Announce Type: replace Abstract: Key to solving many societally-relevant problems in materials science, quantum chemistry and nuclear physics is understanding their fundamental microscopic quantum behaviour. All of these problems can be phrased as fermionic (e.g. electrons) and bosonic particles (e.g. lattice vibrations, photons) interacting with each other. However, solving these systems of strongly-interacting fermions and bosons is out of reach for classical computers and also non-error-corrected qubit-only quantum computers. In this paper, we introduce a hybrid qubit and bosonic-oscillator quantum-simulation framework, which is so efficient that it could simulate some of these strongly-correlated problems even without error correction. Specifically, we leverage the available universal bosonic gate set with O(1) operations per gate as a function of the bosonic cutoff. This enables our framework to provide exact decompositions of higher-order fermion-boson interactions, including notoriously challenging terms such as (2+1)D gauge theories. We show how to compile dynamics, ancilla-free partial error detection, non-local observable measurement, and ground state energy estimation using both qubit-boson variational quantum eigensolvers and quantum signal processing. We introduce a "post-qubit quantum advantage" experiment which is both out of reach of near-term qubit-only quantum computers and classical computers. We develop a new qubit-based algorithm for simulating a beamsplitter which scales as almost-linear with boson number cutoff Nmax, asymptotically outperforming previously-known qubit methods. Our framework can be used in superconducting, as well as trapped-ion and neutral-atom hardware. This work establishes digital hybrid qubit-boson quantum simulation as a promising and advantageous method for solving the many challenging strongly correlated fermion-boson models of relevance to science and technology.
Authors:Eleanor Crane, Kevin C. Smith, Teague Tomesh, Alec Eickbusch, John M. Martyn, Stefan Kühn, Lena Funcke, Michael Austin DeMarco, Isaac L. Chuang, Nathan Wiebe, Alexander Schuckert, Steven M. Girvin
Abstract:Key to solving many societally-relevant problems in materials science, quantum chemistry and nuclear physics is understanding their fundamental microscopic quantum behaviour. All of these problems can be phrased as fermionic (e.g. electrons) and bosonic particles (e.g. lattice vibrations, photons) interacting with each other. However, solving these systems of strongly-interacting fermions and bosons is out of reach for classical computers and also non-error-corrected qubit-only quantum computers. In this paper, we introduce a hybrid qubit and bosonic-oscillator quantum-simulation framework, which is so efficient that it could simulate some of these strongly-correlated problems even without error correction. Specifically, we leverage the available universal bosonic gate set with O(1) operations per gate as a function of the bosonic cutoff. This enables our framework to provide exact decompositions of higher-order fermion-boson interactions, including notoriously challenging terms such as (2+1)D gauge theories. We show how to compile dynamics, ancilla-free partial error detection, non-local observable measurement, and ground state energy estimation using both qubit-boson variational quantum eigensolvers and quantum signal processing. We introduce a "post-qubit quantum advantage" experiment which is both out of reach of near-term qubit-only quantum computers and classical computers. We develop a new qubit-based algorithm for simulating a beamsplitter which scales as almost-linear with boson number cutoff Nmax, asymptotically outperforming previously-known qubit methods. Our framework can be used in superconducting, as well as trapped-ion and neutral-atom hardware. This work establishes digital hybrid qubit-boson quantum simulation as a promising and advantageous method for solving the many challenging strongly correlated fermion-boson models of relevance to science and technology.
Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:2409.03747 [quant-ph]
(or arXiv:2409.03747v2 [quant-ph] for this version)
Phys. Rev. X 16, 041008 (2026)
https://doi.org/10.1103/s5bn-z4jq DOI(s) linking to related resources
Full text under the publisher's open licence · 320 words