Genesis: A Compiler Framework for Hamiltonian Simulation on Hybrid CV-DV Quantum Computers

2025-05-19

AI Summary

This work addresses the Hamiltonian simulation problem on hybrid continuous-variable–discrete-variable (CV-DV) quantum computers. The core challenge lies in automatically decomposing physical-model Hamiltonians into hardware-native gate sequences while jointly mapping qumodes and qubits, routing long-range interactions, and synthesizing gates under connectivity constraints. Methodologically, we propose a two-tier compilation framework and introduce CVDV-QASM—a domain-specific assembly language for CV-DV systems. We pioneer a beam-splitter-aware SWAP co-optimization strategy and employ Pauli-exponential representations with hybrid CV-DV gate decomposition. Experimental evaluation demonstrates successful compilation of five representative physical models—including Bose-Hubbard, ℤ₂-Higgs, and Hubbard-Holstein Hamiltonians—achieving hardware compliance and scalability. To foster community advancement, we release an open-source implementation of the framework.

Technology Category

• Machine Learning: Quantum Machine Learning
• Search and Optimization: Mixed Discrete/Continuous Search
• Computer Vision: Computational Photography, Image & Video Synthesis

Application Category

• Economics, Online Markets and Human Computation: Cost models of using LLMs in production systems
• Systems and Infrastructure for Web, Mobile and WoT: Virtualization and resource management in Web systems and infrastructures
• User Modeling, Personalization and Recommendation: User modeling and simulation for interactive and conversational systems

Abstract

This paper introduces Genesis, the first compiler designed to support Hamiltonian Simulation on hybrid continuous-variable (CV) and discrete-variable (DV) quantum computing systems. Genesis is a two-level compilation system. At the first level, it decomposes an input Hamiltonian into basis gates using the native instruction set of the target hybrid CV-DV quantum computer. At the second level, it tackles the mapping and routing of qumodes/qubits to implement long-range interactions for the gates decomposed from the first level. Rather than a typical implementation that relies on SWAP primitives similar to qubit-based (or DV-only) systems, we propose an integrated design of connectivity-aware gate synthesis and beamsplitter SWAP insertion tailored for hybrid CV-DV systems. We also introduce an OpenQASM-like domain-specific language (DSL) named CVDV-QASM to represent Hamiltonian in terms of Pauli-exponentials and basic gate sequences from the hybrid CV-DV gate set. Genesis has successfully compiled several important Hamiltonians, including the Bose-Hubbard model, $mathbb{Z}_2-$Higgs model, Hubbard-Holstein model, Heisenberg model and Electron-vibration coupling Hamiltonians, which are critical in domains like quantum field theory, condensed matter physics, and quantum chemistry. Our implementation is available at Genesis-CVDV-Compiler(https://github.com/ruadapt/Genesis-CVDV-Compiler).

Problem

• Compiles Hamiltonians for hybrid CV-DV quantum systems
• Maps qumodes/qubits for long-range gate interactions
• Introduces CVDV-QASM DSL for hybrid quantum programming

Innovation

• Two-level compilation for hybrid CV-DV systems
• Connectivity-aware gate synthesis and beamsplitter SWAP
• CVDV-QASM DSL for Hamiltonian representation