We propose an efficient circuit-based quantum state tomography (QST) scheme to reconstruct n -qubit states with k nonzero entries using measurements of |\psi⟩ and U₁|\psi⟩, …, U₂ₘ|\psi⟩, where m ≤ k . Each Uⱼ involves CNOT gates followed by a single-qubit gate, either Hadamard H or HD , where D = diag(1, i), targeting a […]

The problem of finding an optimal control for a system governed by hyperbolic partial differential equations arises in many applications: two examples are source inversion and optimal turbine placement for wave energy generation. As in any optimal control problem, one must deal with a huge amount of data and computation, and parallelizable numerical algorithms such […]