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Direct Estimations of Linear and Nonlinear Functionals of a Quantum State

Direct Estimations of Linear and Nonlinear Functionals of a Quantum State

We present a simple quantum network, based on the controlled-SWAP gate, that can extract certain properties of quantum states without recourse to quantum tomography. It can be used as a basic building block for direct quantum estimations of both linear and nonlinear functionals of any density operator. The network has …