Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications

• DOI: 10.48550/arxiv.2407.10381
• Publication Date: 2024-07-14
• Authors: Yuan Liu; Shraddha Singh; Kevin Smith; Eleanor Crane; John M. Martyn; Alec Eickbusch; Alexander Schuckert; Richard D. Li; Jasmine Sinanan-S...; Micheline B. Soley; Takahiro Tsunoda; Isaac L. Chuang; Nathan Wiebe; S. M. Girvin
• Keywords: Quantum Physics; FOS: Physical sciences; Quantum Physics (quant-ph)

Quantum computing with discrete variable (DV, qubit) hardware is approaching the large scales necessary for computations beyond reach of classical computers. However, important use cases such as quantum simulations physical models containing bosonic modes, and error correction are challenging DV-only systems. Separately, native continuous-variable (CV, oscillator) systems has received attention an alternative approach, yet universal control non-trivial. In this work, we show that hybrid CV-DV offers a great advantage in meeting these challenges, offering powerful computational paradigm inherits strengths both DV CV processors. We provide pedagogical introduction to multiple abstraction layers needed produce full software stack connecting applications hardware. present variety new compilation techniques, algorithms, applications, including extension signal processing concepts strategies simulate interacting spins, fermions, bosons. To facilitate development processor systems, introduce formal Abstract Machine Models Instruction Set Architectures -- essential abstractions enable developers formulate compile explore potential current future realizing fault-tolerant circuits, modules, Hybrid beginning be performed superconducting, trapped ion, neutral atom platforms, large-scale experiments set demonstrated near future. timely comprehensive guide relatively unexplored promising approach computation providing architectural backbone development.