303 citations
6 papers · 1 filter
Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
R. Alicki, D. A. Lidar, P. Zanardi
We critically examine the internal consistency of a set of minimal assumptions entering the theory of fault-tolerant quantum error correction for Markovian noise. These assumptions…
Holonomic quantum computation in decoherence-free subspaces
L. -A. Wu, P. Zanardi, D. A. Lidar
We show how to realize, by means of non-abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring to…
Quantum entanglement in states generated by bilocal group algebras
Alioscia Hamma, Radu Ionicioiu, Paolo Zanardi
Given a finite group G with a bilocal representation, we investigate the bipartite entanglement in the state constructed from the group algebra of G acting on a separable reference…
Bipartite entanglement and entropic boundary law in lattice spin systems
Alioscia Hamma, Radu Ionicioiu, Paolo Zanardi
We investigate bipartite entanglement in spin-1/2 systems on a generic lattice. For states that are an equal superposition of elements of a group of spin flips acting on the fu…
Ground state entanglement and geometric entropy in the Kitaev's model
A. Hamma, R. Ionicioiu, P. Zanardi
We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and nontrivial four-body interactions betwee…
Purity and State Fidelity of Quantum Channels via Hamiltonians
Paolo Zanardi, Daniel Lidar
We associate to every quantum channel acting on a Hilbert space a pair of Hamiltonian operators over the symmetric subspace of . The expe…