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Efficient Qubit Routing for a Globally Connected Trapped Ion Quantum Computer
Author(s) -
Webber Mark,
Herbert Steven,
Weidt Sebastian,
Hensinger Winfried K.
Publication year - 2020
Publication title -
advanced quantum technologies
Language(s) - English
Resource type - Journals
ISSN - 2511-9044
DOI - 10.1002/qute.202000027
Subject(s) - quantum computer , computer science , qubit , topology (electrical circuits) , metric (unit) , upper and lower bounds , quantum error correction , algorithm , quantum network , quantum , parallel computing , theoretical computer science , physics , mathematics , quantum mechanics , engineering , mathematical analysis , operations management , combinatorics
The cost of enabling connectivity in noisy intermediate‐scale quantum (NISQ) devices is an important factor in determining computational power. A qubit routing algorithm is created, which enables efficient global connectivity in a previously proposed trapped ion quantum computing architecture. The routing algorithm is characterized by comparison against both a strict lower bound, and a positional swap based routing algorithm. An error model is proposed, which can be used to estimate the achievable circuit depth and quantum volume of the device as a function of experimental parameters. A new metric based on quantum volume, but with native two‐qubit gates, is used to assess the cost of connectivity relative to the upper bound of free, all to all connectivity. The metric is also used to assess a square‐grid superconducting device. These two architectures are compared and it is found that for the shuttling parameters used, the trapped ion design has a substantially lower cost associated with connectivity.

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