Oscillator-Qubit Primitives for a Molecular Quantum Dynamics Simulator

arXiv:2609.40078 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Benchmark — 24× in this paper · explained in 2 episodes
• Accuracy — 22× in this paper · explained in 1 episode
• Trace — 7× in this paper · explained in 2 episodes
• Trace Distance — 6× in this paper · explained in 3 episodes
• Fidelity — 5× in this paper · explained in 2 episodes
• Alternation — 3× in this paper · explained in 1 episode
• Core — 3× in this paper · explained in 2 episodes
• Calibration — 2× in this paper · explained in 7 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Wigner function — 1× in this paper · explained in 2 episodes

Sources

• Analog Quantum Simulation of Coupled Electron-Nuclear Dynamics in Molecules
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Programmable quantum simulation of anharmonic dynamics
• Programmable generation of arbitrary continuous-variable anharmonicities and nonlinear couplings
• Benchmarking trigonometric continuous-variable gate primitives with trapped ions
• Conditional not displacement: fast multi-oscillator control with a single qubit
• Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
• Trigonometric continuous-variable gates and hybrid quantum simulations of the sine-Gordon model
• Toward Mixed Analog-Digital Quantum Signal Processing: Quantum AD/DA Conversion and the Fourier Transform
• Oscillator-qubit generalized quantum signal processing for vibronic models: a case study of uracil cation
• Cubic Phase Gate with a Trapped Ion Oscillator
• Optical Fourier Architecture for Universal Nonlinear Functions
• Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
• Generalized Quantum Signal Processing
• Analog quantum simulation of chemical dynamics
• Identities and Properties of Multi-Dimensional Generalized Bessel Functions
• Product Decomposition of Periodic Functions in Quantum Signal Processing

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