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Fault tolerant quantum computation by anyons

- A. Kitaev
- Physics
- 9 July 1997

A two-dimensional quantum system with anyonic excitations can be considered as a quantum
computer. Unitary transformations can be performed by moving the excitations around
each other. Measurements… Expand

Anyons in an exactly solved model and beyond

- A. Kitaev
- Physics
- 17 June 2005

A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of interactions may… Expand

Classical and Quantum Computation

- A. Kitaev, A. Shen, M. Vyalyi
- Mathematics, Computer Science
- Graduate studies in mathematics
- 31 May 2002

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Topological quantum memory

- E. Dennis, A. Kitaev, A. Landahl, J. Preskill
- Physics
- 24 October 2001

We analyze surface codes, the topological quantum error-correcting codes introduced by Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of nontrivial topology, and… Expand

Unpaired Majorana fermions in quantum wires

- A. Kitaev
- Physics
- 27 October 2000

Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of length L possesses… Expand

Universal quantum computation with ideal Clifford gates and noisy ancillas (14 pages)

We consider a model of quantum computation in which the set of elementary operations is limited to Clifford unitaries, the creation of the state |0>, and qubit measurement in the computational basis.… Expand

Periodic table for topological insulators and superconductors

- A. Kitaev
- Physics, Mathematics
- 18 January 2009

Gapped phases of noninteracting fermions, with and without charge conservation and time-reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension determines a… Expand

Encoding a qubit in an oscillator

- D. Gottesman, A. Kitaev, J. Preskill
- Physics
- 8 August 2000

Quantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. These codes… Expand

Topological entanglement entropy.

- A. Kitaev, J. Preskill
- Medicine, Physics
- Physical review letters
- 11 October 2005

We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consider a disk in the… Expand

Quantum measurements and the Abelian Stabilizer Problem

- A. Kitaev
- Mathematics, Computer Science
- Electron. Colloquium Comput. Complex.
- 20 November 1995

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