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Time-optimal unitary operations in Ising chains: unequal couplings and fixed fidelity

Time-optimal unitary operations in Ising chains: unequal couplings and fixed fidelity

We analytically determine the minimal time and the optimal control laws required for the realization, up to an assigned fidelity and with a fixed energy available, of entangling quantum gates ($\mathrm{CNOT}$) between indirectly coupled qubits of a trilinear Ising chain. The control is coherent and open loop, and it is …