PT-symmetric mapping of three states and its implementation on a cloud quantum processor

ePrint Report: PT-symmetric mapping of three states and its implementation on a cloud quantum processor

Yaroslav Balytskyi, Yevgen Kotukh, Gennady Khalimov, Sang-Yoon Chang

We develop a new PT-symmetric approach for mapping three pure qubit states, implement it by the dilation method, and demonstrate it with a superconducting quantum processor provided by the IBM Quantum Experience. We derive exact formulas for the population of the post-selected PT-symmetric subspace and show consistency with the Hermitian case, conservation of average projections on reference …

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