Fig. 6: Implementing non-unitary transformations with unitary embedding. | Nature Communications

Fig. 6: Implementing non-unitary transformations with unitary embedding.

From: Arbitrary linear transformations for photons in the frequency synthetic dimension

Fig. 6

The target non-unitary matrix, located in the upper-left 3 × 3 section of the matrix, is first extended to a unitary 5 × 5 target matrix. The element-wise a target amplitude, b achieved amplitude, c target phase, and d achieved phase as a fraction of π are shown. A near ideal implementation was achieved using Nr = 4 and Nf = 4 with a fidelity exceeding 1 − 10−5. Modulation parameters are provided in Supplementary Note 6.

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