Efficient Simulation of Hybrid Continuous- and Discrete-Variable Quantum Circuits via Gaussian Decompositions

arXiv:2609.34793 · quant-ph · Submitted 2026-09-28 · Read on arXiv

quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Trace — 9× in this paper · explained in 2 episodes
• Entanglement — 8× in this paper · explained in 4 episodes
• Wigner function — 7× in this paper · explained in 2 episodes
• Hybrid System — 6× in this paper · explained in 2 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Benchmarking — 2× in this paper · explained in 4 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Hybrid Entanglement — 2× in this paper · explained in 2 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Hybrid Architectures — 1× in this paper · explained in 3 episodes
• Sparsity — 1× in this paper · explained in 4 episodes

Sources

• Hybrid continuous-discrete-variable quantum computing: a guide to utility
• Single-shot conditional displacement gate between a trapped atom and traveling light
• Deterministic feedforward-based generation of large optical coherent-state superposition
• Cavity-QED tools for MBQC with optical binomial-codes
• Helios: A 98-qubit trapped-ion quantum computer
• Trapped-ion two-qubit gates with >99.99% fidelity without ground-state cooling
• Hybrid Oscillator-Qubit Quantum Processors: Simulating Fermions, Bosons, and Gauge Fields
• Real-Time Observation of Aharonov-Bohm Interference in a Z 2 Lattice Gauge Theory on a Hybrid Qubit-Oscillator Quantum Computer
• Gate-Level Quantum Simulation of Nonunitary Linear Dynamics with Hybrid Oscillator-Qubit Architecture
• HyQBench: A Benchmark Suite for Hybrid CV-DV Quantum Computing
• Hybridlane: A Software Development Kit for Hybrid Continuous-Discrete Variable Quantum Computing
• The Heisenberg Representation of Quantum Computers
• Fast simulations of continuous-variable circuits using the coherent state decomposition
• Linear-optical generation of hybrid GKP entanglement from small-amplitude cat states
• Superpositions of Quantum Gaussian Processes

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