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Topological quantum distillation.
These codes implement the whole Clifford group of unitary operations in a fully topological manner and without selective addressing of qubits, which allows them to extend their application also to quantum teleportation, dense coding, and computation with magic states.
Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement
We study a family of non-Abelian topological models in a lattice that arise by modifying the Kitaev model through the introduction of single-qudit terms. The effect of these terms amounts to a
Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains
We study the relationship between the Density Matrix Renormalization Group (DMRG) and the variational matrix product method (MPM). In the latter method one can also define a density matrix whose
Google in a Quantum Network
This work has found an instance of this class of quantum protocols that outperforms its classical counterpart and may break the classical hierarchy of web pages depending on the topology of the web.
Quantum computations on a topologically encoded qubit
A quantum error-correcting code in which one qubit is encoded in entangled states distributed over seven trapped-ion qubits, which represents a fully functional instance of a topologically encoded qubit, or color code, and opens a route toward fault-tolerant quantum computing.
Quantum speedup for active learning agents
It is shown that quantum physics can help and provide a quadratic speedup for active learning as a genuine problem of artificial intelligence and will be particularly relevant for applications involving complex task environments.
Realistic time-reversal invariant topological insulators with neutral atoms.
An original method to synthesize a gauge field in the near field of an atom chip, which effectively mimics the effects of spin-orbit coupling and produces quantum spin-Hall states is introduced.
Topological computation without braiding.
We show that universal quantum computation can be performed within the ground state of a topologically ordered quantum system, which is a naturally protected quantum memory. In particular, we show
Optimal resources for topological two-dimensional stabilizer codes : Comparative study
This study clarifies the similarities and differences between surface codes and color codes and finds that a color code encodes twice as many logical qubits as does a surface code.
Strong resilience of topological codes to depolarization
The inevitable presence of decoherence effects in systems suitable for quantum computation necessitates effective error-correction schemes to protect information from noise. We compute the stability