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Density plots of the Wigner functions of the first four hypercube states. All axes are in terms of the ground state width.
The color bar on the bottom shows the value of the Wigner function where blue and green indicate areas of negative quasiprobability. Post these interactions, the optical fields in both arms are interfered, split into the polarization components, and detected in an avalanche photon detector APD.
Normalized probability densities of hypercube states; left to right columns correspond to second-, third- and fourth-order hypercube states.
Top row: Ideal densities, from Eq. Middle row: Densities predicted from a model that accounts for experimental drift, timing uncertainties, and counting statistics; see Supplemental Material [ 18 ].
Note the predicted variations in peak height, width, and shape. Bottom row: Measured probability densities, the Bhattacharyya coefficient a classical analogue of the fidelity between the middle row of density plots and the experimentally measured density plots are 0.
The uncertainties represent 1 standard deviation obtained from the statistical uncertainties in determining the values of X and P. The signature of hypercube states in the thermal regime—the ring of outer-edge-vertices—is clearly visible in all plots.
Learn about our response to COVID , including freely available research and expanded remote access support. Quantum Hypercube States L.
Howard, T. Weinhold, F. Shahandeh, J. Combes, M. Vanner, A. White, and M. Ringbauer Phys. Abstract We introduce quantum hypercube states, a class of continuous-variable quantum states that are generated as orthographic projections of hypercubes onto the quadrature phase space of a bosonic mode.
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