We present a proposal for quantum information processing with neutral atoms trapped in optical lattices as qubits. Initialization and coherent control of single qubits can be achieved with standardâ€¦ (More)

Scalability of a quantum computation requires that the information be processed on multiple subsystems. However, it is unclear how the complexity of a quantum algorithm, quantified by the number ofâ€¦ (More)

This paper concerns the efficient implementation of quantum circuits for qudits. We show that controlled two-qudit gates can be implemented without ancillas and pro ve that the gate libraryâ€¦ (More)

The two-qubit canonical decomposition SU(4) = [SU(2)âŠ—SU(2)]âˆ†[SU(2)âŠ—SU(2)] writes any two-qubit quantum computation as a composition of a local unitary, a re lativ phasing of Bell states, and a secondâ€¦ (More)

We propose a new system for implementing quantum logic gates: neutral atoms trapped in a very far-off-resonance optical lattice. Pairs of atoms are made to occupy the same well by varying theâ€¦ (More)

The key cryptographic protocols used to secure the internet and financial transactions of today are all susceptible to attack by the development of a sufficiently large quantum computer. Oneâ€¦ (More)

We demonstrate how to build a simulation of two dimensional physical theories describing topologically ordered systems whose excitations are in one to one correspondence with irreducibleâ€¦ (More)

LIANG JIANG1*, GAVIN K. BRENNEN2,3, ALEXEY V. GORSHKOV1, KLEMENS HAMMERER2,3, MOHAMMAD HAFEZI1, EUGENE DEMLER1, MIKHAIL D. LUKIN1 AND PETER ZOLLER2,3 1Physics Department, Harvard University,â€¦ (More)

Gavin K. Brennen,* Dianne P. Oâ€™Leary, and Stephen S. Bullock National Institute of Standards and Technology, Atomic Physics Division, Gaithersburg, Maryland 20899-8420, USA University of Maryland,â€¦ (More)