Symmetry reduction makes the Berta et al. SDP hierarchy for quantum channel fidelity computable in time polynomial in hierarchy level and input dimension when output dimension is fixed.
Symmetry reduction to optimize a graph-based polynomial from queueing theory
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Efficient Approximation of Quantum Channel Fidelity Exploiting Symmetry
Symmetry reduction makes the Berta et al. SDP hierarchy for quantum channel fidelity computable in time polynomial in hierarchy level and input dimension when output dimension is fixed.