Assistant Professor of Physics, University of Massachusetts Boston
Quantum computation · quantum field theory · quantum simulation · entanglement geometry · mathematical sciences
I am a quantum theorist working across quantum information science, quantum computation, quantum field theory, condensed matter physics, and quantum mathematics. My research combines mathematical structures, real-time many-body dynamics, quantum algorithms, and reproducible computation to study how geometry, topology, and entanglement organize quantum systems.
Formation of a labyrinth quantum Turing pattern. Click the animation to open the display gallery.
|
|
|
Quantum circuits, Qiskit, IBM Quantum, quantum teleportation, quantum algorithms, open-system dynamics, and quantum simulation. |
Entanglement geometry, geometric Langlands, Severi–Brauer schemes, Azumaya algebras, moduli, holonomy, and topological obstructions. |
|
Lattice gauge theory, Schwinger-model dynamics, condensed matter, topological phases, curved spacetime, AdS/CMT, and black-hole physics. |
Quantum annealing, QUBO models, scheduling, reproducible code, lecture notebooks, and project-based quantum-information education. |
Each image comes from the corresponding research repository. Click an image to open the project or its featured figure.
|
Open-system pattern formation · interactive explorer · numerical reproduction · Lean 4 |
IBM Quantum implementation · superconducting qubits · simulation · error mitigation |
Expanding-universe QED₂ · real-time dynamics · irreversibility fronts · reproducible figures |
|
| Repository | Scope |
|---|---|
| Entanglement Obstruction in Condensed Matter | Numerical and Qiskit tomography workflows for loop-dependent entangling holonomies in localized topological quartets. |
| Hofstadter Butterfly in AdS₃ | Reproducibility code for curved Harper models and Hofstadter spectra in BTZ black-hole geometry. |
| Quantum Simulation of the Schwinger Model | Executable notebook for digital quantum simulation of the massive Schwinger model. |
| Qiskit Tutorial | Introductory and advanced notebooks for circuits, measurements, simulation, Green's functions, and Hadamard tests. |
| QIS Lectures | Quantum-information lecture notebooks developed for teaching at UMass Boston. |
| D-Wave Nurse Scheduling Demo | Official D-Wave implementation of the nurse-scheduling QUBO model. |
Selected publications and research projects
Quantum Turing Patterns
K. Ikeda, arXiv: 2607.26331
Code and formalization: Quantum-Turing-Pattern
Demonstration of quantum energy teleportation on superconducting quantum hardware
K. Ikeda, Physical Review Applied 20, 024051 (2023)
DOI · arXiv:2301.02666 · Code
Hofstadter's butterfly and Langlands duality
K. Ikeda, Journal of Mathematical Physics 59, 061704 (2018)
DOI · Journal of Mathematical Physics Featured Article
Quantum entanglement, stratified spaces, and topological matter: towards entanglement-sensitive Langlands data
K. Ikeda and S. Rayan, Reports on Progress in Physics 89, 067601 (2026)
DOI
Real-Time Nonperturbative Dynamics of Jet Production in Schwinger Model: Quantum Entanglement and Vacuum Modification
A. Florio, D. Frenklakh, K. Ikeda, D. Kharzeev, V. Korepin, S. Shi, K. Yu, Physical Review Letters 131, 021902 (2023)
DOI
Real-time dynamics of Chern-Simons fluctuations near a critical point
K. Ikeda, D. E. Kharzeev, Y. Kikuchi, Physical Review D 103, L071502 (2021)
DOI
Towards a real-time computation of timelike hadronic vacuum polarization and light-by-light scattering: Schwinger Model tests
J. Barata, K. Ikeda, S. Mukherjee, J. Raghoonanan, Journal of High Energy Physics 2025, 118 (2025)
DOI
Quantum Entanglement Geometry on Severi-Brauer Schemes: Subsystem Reductions of Azumaya Algebras
K. Ikeda, arXiv:2601.13764
Introduction to Quantum Entanglement Geometry
K. Ikeda, arXiv:2601.19111
Loop-dependent entangling holonomies in localized topological quartets
K. Ikeda and Y. Oz, arXiv:2604.11596 · Code
Hofstadter's butterfly in AdS₃ black holes
K. Ikeda and Y. Oz, Journal of High Energy Physics 2026, 038 (2026)
DOI · arXiv:2604.14335 · Code
Quantum Information Dynamics of QED₂ in Expanding de Sitter Universe
K. Ikeda and Y. Oz, arXiv:2604.02777 · Code
Application of Quantum Annealing to Nurse Scheduling Problem
K. Ikeda, Y. Nakamura, T. S. Humble, Scientific Reports 9, 12837 (2019)
DOI · D-Wave demo
Media highlights, honors, awards, and grants
| Theme | Outlet | Highlight |
|---|---|---|
| Quantum cryptography | IEEE Spectrum | qBitcoin and quantum-computer-resistant Bitcoin security. |
| Langlands program | Scientific American | Connections among the Langlands program, physics, and quantum computation. |
| Langlands program | AIP Scilight | Hofstadter's butterfly, number theory, and the Langlands program. |
| Quantum simulation | DOE Office of Science | Quantum entanglement among quarks and real-time simulation. |
| Quantum simulation | Brookhaven National Laboratory | Simulations of entangled quarks in high-energy collisions. |
| Quantum energy teleportation | Quanta Magazine | Experimental quantum energy teleportation. |
| Quantum energy teleportation | WIRED | Quantum energy teleportation and the IBM Quantum demonstration. |
| Research profile | University of Saskatchewan Green & White | Profile of research and career development in quantum science. |
| Category | Link | Description |
|---|---|---|
| Funded research | U.S. Department of Energy | DE-SC0026415: Quantum-classical hybrid simulations for nuclear physics. |
| Funded research | NSF | OSI-2328774: Expand QUantum Information Programs at UMass Boston. |
| Recognition | Research Corporation for Science Advancement | 2025 Scialog Collaborative Innovation Award. |
| Recognition | Research Corporation for Science Advancement | Scialog Fellow: Quantum Matter and Information. |
| Featured article | Journal of Mathematical Physics | Hofstadter's butterfly and Langlands duality selected as a Featured Article. |
I use GitHub to share reproducible research code, numerical verification tools, formal mathematics, interactive displays, and lecture notebooks. Current public materials span Qiskit and IBM Quantum demonstrations, lattice gauge theory, quantum dynamics in curved spacetime, entanglement diagnostics, quantum annealing, and undergraduate quantum-information education.
Website · Grants · Honors & Awards · LinkedIn · arXiv · SlideShare
Quantum Theory · Quantum Mathematics · Quantum Information Science · Quantum Simulation