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A topological quantum computer is a theoretical quantum computer proposed by Russian-American physicist Alexei Kitaev in 1997. It employs quasiparticles in two-dimensional systems, called anyons, whose world lines pass around one another to form braids in a three-dimensional spacetime (i.e., one temporal plus two spatial dimensions).
Jan 4, 2001 · Topological Quantum Computation. Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang. The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors.
- Michael H. Freedman, Alexei Kitaev, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang
- 2001
Feb 15, 2023 · A minimal artificial Kitaev chain can be realized by using two spin-polarized quantum dots in an InSb nanowire strongly coupled by both elastic co-tunnelling and crossed Andreev reflection.
In quantum information and computation, the Solovay–Kitaev theorem says that if a set of single-qubit quantum gates generates a dense subgroup of SU(2), then that set can be used to approximate any desired quantum gate with a short sequence of gates that can also be found efficiently.
Jun 12, 2024 · We have implemented a two-site Kitaev chain in a two-dimensional electron gas by coupling quantum dots through Andreev bound states in a superconductor–semiconductor hybrid region.
Apr 8, 2024 · Here we shed fresh light on the exchange mechanisms underlying symmetric anisotropic magnetic interactions, both diagonal (i.e., Kitaev 1, 2) and off-diagonal, by using ab initio quantum chemical...
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Topological Quantum Computation. Michael H. Freedman∗, Alexei Kitaev∗†, Michael J. Larsen‡. and Zhenghan Wang‡. February 1, 2008. ∗Microsoft Research, One Microsoft Way, Redmond, WA 98052. ∗†On leave from L.D. Landau Institute for Theoretical Physics, Kosygina St. 2, Moscow, 117940, Russia.
