A cold-atoms based processor for deterministic quantum computation with one qubit in intractably large Hilbert spaces

Abstract

We propose the use of Rydberg interactions and ensembles of cold atoms in mixed state for the implementation of a protocol for deterministic quantum computation with one quantum bit that can be readily operated in high dimensional Hilbert spaces. We propose an experimental test for the scalability of the protocol and to study the physics of discord. Furthermore, we explore the possibility of extending to non-trivial unitaries, such as those associated to many-body physics. Finally develop a scheme to add control to cold atom unitaries in order to facilitate their implementation in our proposal.

Keywords

• quantum computation
• mixed states
• DQC1
• cold atoms
• Rydberg atoms
• 03.67.Lx