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Anyons in an exactly solved model and beyond
- A. Kitaev
- Physics
- 17 June 2005
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…
Classical and Quantum Computation
Introduction Classical computation Quantum computation Solutions Elementary number theory Bibliography Index.
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…
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.…
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…
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…
Topological entanglement entropy.
- A. Kitaev, J. Preskill
- PhysicsPhysical review letters
- 11 October 2005
TLDR
The Complexity of the Local Hamiltonian Problem
TLDR
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