Tomography of time-bin quantum states using time-resolved detection
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Abstract
We present a method for measuring quantum states encoded in temporal modes of photons. The basis for the multilevel quantum states is defined based on modes propagating in a dispersive medium, which is a fiber in this case. The propagation and time-resolved single photon detection allows us to define a positive-operator valued measurement (POVM). The POVM depends on the amount of dispersion and the characteristics of a detector. This framework is numerically tested by performing quantum state tomography on a large number of states for a set of realistic experimental settings. Finally, the average fidelity between the expected and reconstructed states for qubits and qutrits is computed.