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Topological fault-tolerance in cluster state quantum computation
We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Expand
Fault-tolerant quantum computation with high threshold in two dimensions.
We present a scheme of fault-tolerant quantum computation for a local architecture in two spatial dimensions in which the error threshold is 0.75%. Expand
Confinement Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory
We study the ±J random-plaquette Z_2 gauge model (RPGM) in three spatial dimensions, a three-dimensional analog of the two-dimensional ±J random-bond Ising model (RBIM). The model is a pure Z_2 gaugeExpand
A fault-tolerant one-way quantum computer
We describe a fault-tolerant one-way quantum computer on cluster states in three dimensions. The presented scheme uses methods of topological error correction resulting from a link between clusterExpand
Long-distance decoy-state quantum key distribution in optical fiber.
The theoretical existence of photon-number-splitting attacks creates a security loophole for most quantum key distribution (QKD) demonstrations that use a highly attenuated laser source. UsingExpand
Localized closed timelike curves can perfectly distinguish quantum states.
We show that qubits traveling along closed timelike curves are a resource that a party can exploit to distinguish perfectly any set of quantum states. As a result, an adversary with access to closedExpand
Analysis of quantum error-correcting codes: symplectic lattice codes and toric codes
Quantum information theory is concerned with identifying how quantum mechanical resources, such as entangled quantum states, can be utilized for a number of information processing tasks, includingExpand
Long-range quantum entanglement in noisy cluster states (6 pages)
We describe a phase transition for long-range entanglement in a three-dimensional cluster state affected by noise. The partially decohered state is modeled by the thermal state of a short-rangeExpand
Achievable rates for the Gaussian quantum channel
We study the properties of quantum stabilizer codes that embed a finite-dimensional protected code space in an infinite-dimensional Hilbert space. The stabilizer group of such a code is associatedExpand
Practical long-distance quantum key distribution system using decoy levels
Quantum key distribution (QKD) has the potential for widespread real-world applications, but no secure long-distance experiment has demonstrated the truly practical operation needed to move QKD fromExpand