Chinese Optics Letters, 2017, 15 (9): 092701, Published Online: Jul. 19, 2018
Effect of unbalanced and common losses in quantum photonic integrated circuits Download: 1083次
Figures & Tables
Fig. 1. Eigenmodes of coupled waveguides. (a) A schematic of a directional coupler. (b) The cross-section electric field distributions of the eigenmodes for different cases. From the left column to right, the pictures correspond to the (i) ideal case , (ii) , and material 3 is lossless, (iii) and material 3 is absorptive. For the left and right case, the two eigenmodes are orthogonal and the overlap is zero. For the middle case, the overlap of the two modes is positive.
Fig. 2. (Color online) Two coupled waveguides with an unbalanced linear loss. (a) By injecting a single photon in port 1 in Fig. 1(a) , the hopping probability to the outputs are plotted. Blue line: port 1. Red line: port 2. The inset shows the relative intensity eliminating the global damping factor. We set and . (b) The mode overlap of the two eigenmodes. (c) The real (blue) and imaginary (red) part of the difference between and . The cross point is the exceptional point. (d) is the minimum coupling length to achieve 1:1 splitting. (e). Two-photon quantum interference visibility on an ideal BS with . (f) Two-photon quantum interference visibility on a BS with unbalanced linear loss as a function of the coupling length. and . In all the figures, the units of C and are the free-space wave vector . We set for all the cases.
Fig. 3. (Color online) Single-photon and two-photon interference on a BS with shared CL. (a) Relative probability in two waveguides with single-photon input. (b) The mode overlap of the two eigenmodes. (c) The real and imaginary part of . (d) The visibility of two-photon quantum interference. The visibility becomes negative and approaches as the coupling region becomes longer. Here we set the damping rate the waveguides , , and .
Fig. 4. (Color online) Fidelity of quantum gates formed by a BS with shared loss. All quantum gates are decomposed to BSs and phase shifters and we assume the phase shifters are ideal. The fidelity is the minimum value searched through all input quantum states. (a) The gate fidelity for a BS, single-qubit operation, and quantum C-NOT gate. (b) The minimum fidelity for any two-qubit gate and any two-qubit quantum state. In the calculations, .
Ming Li, Changling Zou, Guangcan Guo, Xifeng Ren. Effect of unbalanced and common losses in quantum photonic integrated circuits[J]. Chinese Optics Letters, 2017, 15(9): 092701.