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Kobayashi Lab
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A theory lab that explores quantum many-body systems and quantum error correction through the lens of “symmetry.”

AboutAbout the lab
Understanding the quantum world through symmetry
The Kobayashi Lab studies, through theory, quantum many-body systems (the quantum states formed by large numbers of particles) and the foundations of error correction for quantum computers.
In particular, the lab takes “symmetry” as its guiding principle and aims to systematically understand the fundamental properties of quantum many-body systems and error-correcting codes.
Its themes are broadly connected, ranging from abstract theory such as symmetry and field theory to lattice models, quantum error-correcting codes, and quantum computation.
Key terms
- Quantum error correction
- A mechanism that detects and corrects errors occurring during computation on a quantum computer by encoding information in a carefully designed way
- Topological phase
- A state of matter characterized by a mathematical property (topology) that does not change under smooth deformation
- Quantum anomaly
- A phenomenon in which a symmetry that holds in a classical theory is no longer preserved in the quantum theory
NewsLab news
Paper by Associate Professor Kobayashi and colleagues published in Physical Review Letters
Paper by Associate Professor Kobayashi and colleagues published in Physical Review X
Paper by Associate Professor Kobayashi and colleagues published in Physical Review B
Paper by Associate Professor Kobayashi and colleagues published in PRX Quantum
Paper by Associate Professor Kobayashi and colleagues published in SciPost Physics
ResearchResearch themes
The lab works on condensed matter physics and fundamental problems in quantum error correction. Recently, its goal has been to systematically understand the fundamental properties of quantum many-body systems and error-correcting codes through the lens of “symmetry.”
*Illustrative imageSymmetries and Logical Gates of Error-Correcting Codes
In quantum error correction, it is important not only to have codes that are robust against errors but also to implement computation on the code (logical gates). The lab investigates the connection between the generalized symmetries hidden in codes and logical gates.
*Illustrative imageExtracting Invariants of Quantum Many-Body Systems
In materials in topological phases, special states appear at the edges. The lab studies methods to extract the “invariants” responsible for this as quantities that can actually be computed and measured.
*Illustrative imageHigher-Form Symmetries and Quantum Anomalies
The lab develops methods to directly define and compute, on lattice models, the “higher-form symmetry” that appears in topological order and elsewhere, together with the quantum anomalies associated with it.
*Illustrative imagePhysics of Symmetries Without Inverses
The lab studies quantum many-body systems with “non-invertible symmetries,” which have no inverse operation. It examines how responses resembling those of fractional quantum Hall systems, as well as phase classifications, emerge.
MembersFaculty
- Associate ProfessorRyohei KobayashiPublications ↗
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Snowflake macro photography 1” Alexey Kljatov / CC BY-SA 4.0 (cropped)
- Symmetries and Logical Gates of Error-Correcting Codes: “Wire Bonded Superconducting Quantum Chip with 6 Transmons 001” OJB Quantum / CC BY 4.0 (cropped)
- Extracting Invariants of Quantum Many-Body Systems: “Hopf Fibration” Niles Johnson / CC BY 4.0 (cropped)
- Higher-Form Symmetries and Quantum Anomalies: “Anneal CA” David Eppstein / CC0 (cropped)
- Physics of Symmetries Without Inverses: “Fibonacci chain – one-dimensional quasicrystal” Jacobolus / CC BY-SA 4.0 (cropped)
- Related lab (Murakami Lab): “Möbius strip” David Benbennick / CC BY-SA 3.0 (cropped)
- Related lab (Takasan Lab): “Homogeneous Nucleation Ising Model” Oerpli / CC BY-SA 3.0 (cropped)
- Related lab (Sagawa-Funo Lab): “Superconducting Quantum Chip with Dispersive Background” OJB Quantum / CC BY 4.0 (cropped)
- Related lab (Ezawa Lab): “Graphene xyz” Carbophiliac / Public domain (cropped)
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