Self-calibrating Quantum State Tomography

Physics – Quantum Physics

Scientific paper

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5 pages, 5 figures

Scientific paper

We introduce and experimentally demonstrate a technique for performing quantum state tomography on multiple-qubit states using unknown unitary operations to perform measurements in different bases. Using our method, it is possible to reconstruct the density matrix of the state up to local sigma-z rotations as well as recover the magnitude of the unknown rotation angle. We demonstrate high-fidelity self-calibrating tomography on polarization-encoded one- and two-photon states. The unknown unitary operations are realized in two ways: using a birefringent polymer sheet--an inexpensive smartphone screen protector--or alternatively a liquid crystal wave plate with a tuneable retardance.

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