Kavli Affiliate: Viatcheslav V. Dobrovitski
| First 5 Authors: Aleksandr S. Mokeev, Yu-Ning Zhang, Viatcheslav V. Dobrovitski, ,
| Summary:
Entangled qubits transported through space is a key element in many
prospective quantum information systems, from long-distance quantum
communication to large modular quantum processors. The moving qubits are
decohered by time- and space-dependent noises with finite extent of
correlations. Since the qubit paths are interrelated, the phase fluctuations
experienced by the qubits exhibit peculiar correlations, which are difficult to
analyze with the conventional theory of random processes. We propose an
approach to this problem based on the concept of trajectories on random sheets.
We establish its efficacy with a specific example of the electron spins
shuttled in semiconductor structures, and derive explicit solutions, revealing
the role of unusual noise correlations. We also demonstrate how the analysis of
noise correlations can enhance the shuttling fidelity, by studying transport of
two entangled spins encoding a logical qubit. The proposed approach enabled us
to specify the favorable conditions for this encoding, and find a particularly
beneficial shuttling regime. We also describe application of this approach to
other shuttling scenarios, and explain its utility for analysis of other types
of systems, such as atomic qubits and photons in quantum networks.
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