Quantum computing with discrete variable (DV, qubit) hardware is approaching the large scales necessary for computations beyond the reach of classical computers. However, important use cases such as quantum simulations of physical models containing bosonic modes, and quantum error correction are challenging for DV-only systems. Separately, hardware containing native continuous-variable (CV, oscillator) systems has received attention as an alternative approach, yet the universal control of such systems is non-trivial. Hybrid CV-DV hardware offers a great advantage in meeting these challenges, offering a powerful computational paradigm that inherits the strengths of both DV and CV processors. This tutorial provides a pedagogical introduction to hybrid CV-DV computation, including their experimental realization, theoretical foundations and compilation techniques, algorithms and practical applications, and open questions and challenges. To facilitate the development of hybrid CV-DV processor systems, a formal notion of Abstract Machine Models and Instruction Set Architectures will be discussed. Since the field is highly interdisciplinary, the tutorial will feature speakers from superconducting device physics, AMO physics, condensed matter physics, quantum information, and computer science.
Topics
- Physics and foundations of hybrid CV-DV quantum computation: CV states, operators, representations; universal CV-DV quantum computation; Gaussian, non-Gaussian, and hybrid CV-DV gates; compilation methods and bosonic QEC.
- Experimental realization with circuit-QED: superconducting qubits and cavities, controls, gates, systems and scalability, architectures.
- Experimental realization with trapped ions: atoms, ions and vibrational modes, controls, gates, systems and scalability, architectures.
- Algorithms and Applications: quantum signal processing; state transfer; quantum Fourier transform; quantum simulation of interacting spins, bosons, fermions; quantum sensing.
Who should attend?
Graduate students, post-docs and other scientists interested in learning about the exciting new area of hybrid discrete-continuous variable (CV-DV) quantum computation.
Organizer
- Yuan Liu, North Carolina State University
Presenters
- Kevin C. Smith, IBM Quantum
- Chen Wang, University of Massachusetts, Amherst
- Jonathan Home, ETH Zürich
- Yuan Liu, North Carolina State University