Abstract

Entanglement generation can be robust against certain types of noise in approaches that deliberately incorporate dissipation into the system dynamics. The presence of additional dissipation channels may, however, limit fidelity and speed of the process. Here we show how quantum optimal control techniques can be used to both speed up the entanglement generation and increase the fidelity in a realistic setup, whilst respecting typical experimental limitations. For the example of entangling two trapped ion qubits (Lin et al 2013 Nature 504 415), we find an improved fidelity by simply optimizing the polarization of the laser beams utilized in the experiment. More significantly, an alternate combination of transitions between internal states of the ions, when combined with optimized polarization, enables faster entanglement and decreases the error by an order of magnitude.

Highlights

  • Quantum devices aim to exploit the two essential elements of quantum physics, quantum coherence and entanglement, for practical applications

  • We have addressed the problem of additional noise sources that limit fidelity and speed of dissipative entanglement generation

  • Combining quantum optimal control theory [2] with the effective operator approach [41], we have shown how to improve both fidelity and speed for the example of entangling two hyperfine qubits in a chain of trapped ions [32]

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Summary

14 December 2018

Hefei 230026, People’s Republic of China 4 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei. 230026, People’s Republic of China 5 National Institute of Standards and Technology, Boulder, CO 80305, United States of America. The presence of additional dissipation channels may, limit fidelity and speed of the process. We show how quantum optimal control techniques can be used to both speed up the entanglement generation and increase the fidelity in a realistic setup, whilst respecting typical experimental limitations. For the example of entangling two trapped ion qubits (Lin et al 2013 Nature 504 415), we find an improved fidelity by optimizing the polarization of the laser beams utilized in the experiment. An alternate combination of transitions between internal states of the ions, when combined with optimized polarization, enables faster entanglement and decreases the error by an order of magnitude

Introduction
Original scheme for entanglement preparation
Hamiltonian
Optimizing the original scheme
Optimization parameters
Optimization algorithm
Two-sideband scheme
Fundamental performance bound
Findings
Conclusions
Full Text
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