VBFF Realizing Non-Abelian Anyons
Abstract
Abstract: Realizing Non-Abelian AnyonsApproved for Public ReleaseAnyons are quasiparticles, unique to two-dimensional systems, which obey fractional exchange statistics. Non-Abelian versions of these anyons are particularly sought after. Manipulation of the quantum ground state by exchanging - or #braiding# - non-Abelian anyons can be used to perform quantum computations. Crucially, information encoded using this scheme is immune to local perturbations and thus protected from quantum decoherence, overcoming a major barrier to achieving a scalable and useful quantum computer. A leading platform for exploring anyonic physics arises from the fractional quantum Hall effect (FQHE) in a two-dimensional electron gas. However, the stringent requirements to achieve the FQHE - a strong (>10T) magnetic field and milli-Kelvin temperatures - limits its usefulness for researching anyons and quantum computing. In twisted MoTe2 bilayer, we recently discovered a high-temperature fractional quantum anomalous Hall effect (FQAHE), i.e., a lattice analog of the FQHE occurring at zero magnetic field, with the effect surviving at 2K. Building on this major breakthrough, we propose to create, investigate, and manipulate non-Abelian anyons towards scalable quantum computers by engineering MoTe2 moiré superlattices. This will be achieved through three integrated thrusts. Thrust 1: We will engineer robust FCI states - which host zero-field Anyons - by optimizing the materials and devices, as well as by investigating the Chern energy gap as a function of twist angle, disorder, carrier mobility, and interlayer separation. Thrust 2: We will create non-Abelian anyons and establish their fundamental properties. We will search for Moore-Read Pfaffian states by creating even-denominator FCI states via moiré engineering, and parafermions by creatinghybrid superconductor/FQAH insulator devices. Thrust 3: We will detect and braid zero-field non-Abelian anyons. To realize this goal, we will develop aFQAHE Fabry-Pérot interferometer to measure the exchange statistics of FCI states, as well as performing Josephson spectroscopy by designing a SQUID device which can be used to detect localized parafermions. We will then design a circular arrayof localized parafermion states to demonstrate braiding of non-Abelian anyons. Our approach will exploit the unprecedented tunablity of moiré quantum materials to control the energy scale, symmetry, and topology of the many-body ground states - directly addressing the DoD#s mission of tailoring material properties for the creation and understanding of interacting topological phases. The proposed work would also offer a platform to train the next generation of scientists and engineers in uncharged scientific territory. Thesuccess of this program would achieve a new paradigm in the research of these long-sought quasiparticles with fractional statistics. Our program aligns perfectly with the DoD s overarching goal of pursuing transformative research that can lead to revolutionary advancements in defense technologies, such as computing, communication, and sensing. Ultimately, the realization of non-Abelian anyonsand their braiding would not only fulfill a scientific dream, but also revolutionize quantum technologies via anyon-based qubits for universal fault tolerant quantum computation, a capability crucial for secure and efficient information processing in defense applications.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Dec 14, 2024
- Source ID
- N000142512047
Entities
People
- Xiaodong Xu
Organizations
- Office of Naval Research
- United States Navy
- University of Washington