Symbolic Hamiltonian Compiler for Hybrid Qubit-Boson Processors

Fuente: arXiv
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Main Authors: Decker, Ethan, Gustafson, Erik, McKinney, Evan, Jones, Alex K., Goetz, Lucas, Li, Ang, Schuckert, Alexander, Stein, Samuel, Li, Gushu, Crane, Eleanor
Format: Preprint
Published: 2025
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_version_ 1866912405480538112
author Decker, Ethan
Gustafson, Erik
McKinney, Evan
Jones, Alex K.
Goetz, Lucas
Li, Ang
Schuckert, Alexander
Stein, Samuel
Li, Gushu
Crane, Eleanor
author_facet Decker, Ethan
Gustafson, Erik
McKinney, Evan
Jones, Alex K.
Goetz, Lucas
Li, Ang
Schuckert, Alexander
Stein, Samuel
Li, Gushu
Crane, Eleanor
contents Quantum simulation of the interactions of fermions and bosons -- the fundamental particles of nature -- is essential for modeling complex quantum systems in material science, chemistry and high-energy physics and has been proposed as a promising application of fermion-boson quantum computers, which overcome the overhead encountered in mapping fermions and bosons to qubits. However, compiling the simulation of specific fermion-boson Hamiltonians into the natively available fermion-boson gate set is challenging. In particular, the large local dimension of bosons renders matrix-based compilation methods, as used for qubits and in existing tools such as Bosonic Qiskit or OpenFermion, challenging. We overcome this issue by introducing a novel symbolic compiler based on matrix-free symbolic manipulation of second quantised Hamiltonians, which automates the decomposition of fermion-boson second quantized problems into qubit-boson instruction set architectures. This integration establishes a comprehensive pipeline for simulating quantum systems on emerging qubit-boson and fermion-boson hardware, paving the way for their large-scale usage.
format Preprint
id arxiv_https___arxiv_org_abs_2506_00215
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Symbolic Hamiltonian Compiler for Hybrid Qubit-Boson Processors
Decker, Ethan
Gustafson, Erik
McKinney, Evan
Jones, Alex K.
Goetz, Lucas
Li, Ang
Schuckert, Alexander
Stein, Samuel
Li, Gushu
Crane, Eleanor
Quantum Physics
Materials Science
Strongly Correlated Electrons
Quantum simulation of the interactions of fermions and bosons -- the fundamental particles of nature -- is essential for modeling complex quantum systems in material science, chemistry and high-energy physics and has been proposed as a promising application of fermion-boson quantum computers, which overcome the overhead encountered in mapping fermions and bosons to qubits. However, compiling the simulation of specific fermion-boson Hamiltonians into the natively available fermion-boson gate set is challenging. In particular, the large local dimension of bosons renders matrix-based compilation methods, as used for qubits and in existing tools such as Bosonic Qiskit or OpenFermion, challenging. We overcome this issue by introducing a novel symbolic compiler based on matrix-free symbolic manipulation of second quantised Hamiltonians, which automates the decomposition of fermion-boson second quantized problems into qubit-boson instruction set architectures. This integration establishes a comprehensive pipeline for simulating quantum systems on emerging qubit-boson and fermion-boson hardware, paving the way for their large-scale usage.
title Symbolic Hamiltonian Compiler for Hybrid Qubit-Boson Processors
topic Quantum Physics
Materials Science
Strongly Correlated Electrons
url https://arxiv.org/abs/2506.00215