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.
Highlights
At present, no single feature of the quantum world has been identified as the source of the computational enhancement, efficiency and speed-up of quantum protocols
The single qubit acts as a control atom over the target ensemble via excitation to Rydberg state and we use a laser excitation scheme developed in [24] based on electromagnetically induced transparency (EIT) and shown in figure 2
We have demonstrated the theoretical feasibility of the implementation of a DQC1 protocol in cold atoms ensemble
Summary
No single feature of the quantum world has been identified as the source of the computational enhancement, efficiency and speed-up of quantum protocols. DQC1 protocols present a remarkable advantage with respect to standard QC protocols, in that it requires only a single qubit with coherence to perform large scale QC, whilst its power scales up with a number of qubits in mixed state It is in principle more readily scalable, provided a suitable system for the implementation is developed. Successful experiments based on DQC1 have evaluated the normalized trace of a two-by-two unitary matrix [3] and performed the approximation to the Jones polynomial with a system of four qubits [12], demonstrating the ground principle of mixed state computation These experiments were performed with photons and nuclear magnetic resonance respectively, with limited scalability so far.
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