Alexei Kitaev
Russian-American physicist (born 1963)
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Alexei Yurievich Kitaev (Russian: Алексей Юрьевич Китаев; born August 26, 1963)[1] is a Russian-American theoretical physicist.
Kitaev spin liquid
Kitaev's periodic table
Toric code
Sachdev–Ye–Kitaev model
Quantum phase estimation
Solovay–Kitaev theorem
Magic state distillation
Gottesman–Kitaev–Preskill code
Quantum threshold theorem
QIP
QMA
- Breakthrough Prize in Fundamental Physics (2012)
- Dirac Medal (2015)
- Oliver E. Buckley Condensed Matter Prize (2017)
- Henri Poincaré Prize (2024)
Alexei Yurievich Kitaev | |
|---|---|
| Алексей Юрьевич Китаев | |
| Born | August 23, 1963 |
| Alma mater | Moscow Institute of Physics and Technology |
| Known for | Kitaev chain Kitaev spin liquid Kitaev's periodic table Toric code Sachdev–Ye–Kitaev model Quantum phase estimation Solovay–Kitaev theorem Magic state distillation Gottesman–Kitaev–Preskill code Quantum threshold theorem QIP QMA |
| Awards |
|
| Scientific career | |
| Fields | Condensed matter theory Quantum computing |
| Institutions | California Institute of Technology Kavli Institute for Theoretical Physics |
| Thesis | Electronic properties of quasicrystals (Russian: Электронные свойства квазикристаллов) (1989) |
| Valery Pokrovsky | |
He is currently a professor of theoretical physics and mathematics at the California Institute of Technology.[2]
Kitaev has received multiple awards recognizing his contributions to quantum information science and condensed matter physics, particularly in quantum computation and topological phases of matter.
Life
Kitaev was educated in Russia, graduating from the Moscow Institute of Physics and Technology in 1986,[3] and with a Ph.D. from the Landau Institute for Theoretical Physics under the supervision of Valery Pokrovsky in 1989.[4][3]
Kitaev worked as a research associate at the Landau Institute between 1989 and 1998. Between 1999 and 2001, he served as a researcher at Microsoft Research.[3] Since 2002, Kitaev has been a professor at Caltech.[3]
In 2021, Kitaev was elected into the National Academy of Sciences.[5]
Research
Quantum computing and complexity
Kitaev has made contributions to quantum algorithms, quantum complexity classes, and fault-tolerant quantum computation.[6][7][8] He introduced the complexity class QMA (Quantum Merlin–Arthur) and proved that the k-local Hamiltonian problem is QMA-complete, linking ground-state energy problems for local Hamiltonians to questions in computational complexity.[9][10][7]
He introduced the quantum phase estimation algorithm, a general procedure for estimating eigenphases of unitary operators,[11][6][7] and independently proved what is now known as the Solovay–Kitaev theorem, which shows that a universal finite gate set can efficiently approximate arbitrary quantum operations on qubits.[7][12]
He proposed using topological phases of matter and anyons for fault-tolerant quantum computation, introducing the toric code (or surface code) as a paradigmatic error-correcting code. He also contributed to threshold theorems for fault-tolerant codes and co-developed protocols such as the Gottesman–Kitaev–Preskill code and Bravyi–Kitaev magic-state distillation.[13][7][8][14][15]
Topological phases and lattice models
Kitaev introduced exactly solvable lattice Hamiltonians that realize topologically ordered phases and anyonic excitations in two spatial dimensions. His toric code and related quantum-double models provide toy models realizing anyons and long-range entanglement.[13] His Kitaev honeycomb model is an exactly solvable spin-1/2 model that can realize non-abelian anyons; this model has become a common starting point for the study of "Kitaev quantum spin liquids" in candidate materials.[16][17]
He has also contributed to the classification of topological phases. He related two-dimensional lattice models of topological order to algebraic data describing the anyon types and their braiding, together with a bulk invariant specifying the chiral central charge.[16][18] His "periodic table for topological insulators and superconductors" uses K-theory and Bott periodicity to classify gapped free-fermion phases in different symmetry classes and spatial dimensions,[19] and in two dimensions he proposed the "16-fold way" classification of certain topological superconductors.[20] The so-called state introduced by Kitaev appears as a basic nontrivial 2+1-dimensional invertible phase, and his ideas have been used in generalized-cohomology classifications of symmetry-protected topological phases with symmetry group G.[21][22]
Kitaev has also contributed to the study of quantum chaos and holography through his work on the Sachdev–Ye–Kitaev (SYK) model.[23][24]
Honors and awards
| Year | Award | Institution | Reason |
|---|---|---|---|
| 2008 | MacArthur Fellows Program | MacArthur Foundation | Contributions to the field of quantum computing and quantum physics[25] |
| 2012 | Breakthrough Prize in Fundamental Physics | Breakthrough Prizes Board | For the theoretical development of implementing quantum memories and fault-tolerant quantum computation[26] |
| 2015 | Dirac Medal (ICTP) | International Centre for Theoretical Physics | For the interdisciplinary contributions in condensed matter systems and applications of these ideas to quantum computing.[27] |
| 2017 | Oliver E. Buckley Prize (with Xiao-Gang Wen) | American Physical Society | For theories of topological order and its consequences in a broad range of physical systems[28] |
| 2024 | Henri Poincaré Prize | International Association of Mathematical Physics | Contributions to the development of quantum computing, the study of quantum many-body systems and quantum information[29] |
| 2024 | Basic Science Lifetime Award | International Congress of Basic Science | Contributions to the development of quantum computing[30] |
Political activism
In March, 2022, he was one of 78 Breakthrough Prize Laureates whose names appeared on an "open letter" criticizing the Russian invasion of Ukraine.[31]