Algorithms for quantum computation: discrete logarithms and factoring
SFCS '94 Proceedings of the 35th Annual Symposium on Foundations of Computer Science
Time-optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries
Quantum Information & Computation
Treating the Independent Set Problem by 2D Ising Interactions with Adiabatic Quantum Computing
Quantum Information Processing
Self-protected quantum algorithms based on quantum state tomography
Quantum Information Processing
Quantum Fault Tolerance in Systems with Restricted Control
Electronic Notes in Theoretical Computer Science (ENTCS)
Digital quantum simulation with Rydberg atoms
Quantum Information Processing
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We propose the use of quantum optical systems to perform universal simulation of quantum dynamics. Two specific implementations that require present technology are put forward for illustrative purposes. The first scheme consists of neutral atoms stored in optical lattices, while the second scheme consists of ions stored in an array of micro-traps. Each atom (ion) supports a two-level system, on which local unitary operations can be performed through a laser beam. A raw interaction between neighboring two-level systems is achieved by conditionally displacing the corresponding atoms (ions). Then, average Hamiltonian techniques are used to achieve evolutions in time according to a large class of Hamiltonians.