Our group's research focuses on quantum information science, including quantum computing and quantum networking. We are interested both in fundamental quantum physics and in how to exploit it for designing new technologies.
Quantum computing requires high-quality qubits and the ability to perform quantum gates with extremely high accuracy. Our group explores theoretically various types of qubits---superconducting, spin-based, and atomic---and designs robust ways to control them despite errors induced by the environment or unwanted couplings to other qubits.
Our interests include the design of entangling gates in quantum registers of spins and nuclei, the optical control of quantum defect qubits and quantum dots, entangling gates in superconducting platforms, and silicon spin qubit control.
We are also developing abstract approaches with broad applicability, e.g., for geometric gates and Landau-Zener transitions.
Getting any benefit out of quantum computers requires algorithms that take advantage of the unique features of quantum mechanics. Our group develops quantum algorithms focused on quantum simulation of many-body quantum systems and on quantum optimization, problems that are computationally hard for classical computers. We are interested both in near-term, noisy quantum processors and in long-term fault-tolerant quantum computers. Together with the Barnes and Mayhall groups, we pioneered the first adaptive quantum simulation algorithm, ADAPT-VQE.
Our more recent work improves on the original algorithm, e.g., with TETRIS-ADAPT-VQE, the development of efficient operator pools (quantum gates) and investigations of symmetries.
We are interested in the role of measurements in quantum information processing. For example, it is known that quantum computing can be realized only with single-qubit measurements on a resource state known as a cluster (or graph) state. This approach is especially promising for photonic platforms. We investigate ways to generate photonic resource states for quantum computing and quantum communications. We are also interested in logical encodings and quantum error correction within this model of quantum information processing. We developed an efficient algorithm for the deterministic generation of arbitrary photonic graph states from quantum emitters and have proposed both hardware-tailored and abstract protocols.
Quantum networks are envisioned for long-range (inter-city) secure communications and for shorter-range distributed quantum computing, i.e., smaller quantum processors linked via photonic channels. Quantum networks require the creation and use of entanglement to transfer or teleport quantum information from one point to another. More details can be found in the recent review paper coauthored by our group. We are interested in developing paradigms for quantum networking that can achieve faster and more robust rates of communication. We are particularly interested in how the physics of the platforms (atoms, quantum defects) which act as quantum memories and as photon emitters translates to network performance.