4 problems
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Smooth transition conjecture for quantum channel tomography
Let and be the input and output dimensions of a quantum channel, let be its Choi rank, and let be the tomography error. Near the boundary…
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Mele–Bittel optimality conjecture for quantum channel tomography query complexity
Let be a quantum channel with input dimension , output dimension , and Choi rank , and let denote the tomography error. Mele–Bittel's optim…
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Conjecture on complementary bases for Pauli channel angle estimation
Let the channel directions be the three principal directions associated with the Pauli channel, and let a measurement and input strategy be described by bases relative to those dir…
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Conjecture on optimal input and measurement angles for Pauli channel tomography
Let denote the channel contraction parameters and let be the number of channel uses. Let…