Photonic information processing often demands programmable multiport interferometers capable of implementing arbitrary transfer matrices, for which planar meshes of tunable Mach-Zehnder interferometers (MZIs) are usually exploited. However, these MZI-based interferometers require balanced static beam-splitter (BSs) that make them sensitive to manufacturing errors. Here, we abandon the error-sensitive MZI and propose an alternative design that uses a single static BS and a variable phase shift as the building block of the interferometer mesh. Our BS-based design has been shown to possess superior resilience to manufacturing errors, which is achieved without addition of extra elements into the schemes. Namely, the power transmissivities of the static BSs constituent the interferometers can take arbitrary values in the range from ≈ 1/2 to ≈ 4/5.
We have investigated the heralded generation of two-qubit dual-rail-encoded states by programmable linear optics. Two types of schemes generating the states from four single photons, which is the minimal possible to accomplish the task, have been considered. The schemes have different detection patterns heralding successful generation events, namely, one-mode heralding, in which the two auxiliary photons are detected in one mode, and two-mode heralding, in which single photons are detected in each of the two modes simultaneously. We have shown that the dependence of the schemes' success probabilities on the target state's degree of entanglement are essentially different. In particular, one-mode heralding yields better efficiency for highlyentangled states, if the programmable interferometers can explore the full space of the unitary transfer matrices,. It is reversed in case of weakly-entangled states where two-mode heralding is better. We have found a minimal decomposition of the scheme with two-mode heralding that is programmed by one variable phase shift. We infer that the linear optical schemes designed specifically for generation of two-qubit states are more efficient than schemes implementing gate-based circuits with known two-qubit linear optical gates. Our results yield substantial reduction of physical resources needed to generate two-qubit dual-rail-encoded photonic states.
The capability of linear optics to generate entangled states is widely exploited in quantum information processing, however, it is non-trivial to generate qubit states. Here we investigate the linear optical methods for generation of dual-rail-encoded Bell states using computer optimization. We have found a five-mode scheme that produces these states with probability 1/9 with heralding by one photon detector. This result is an improvement in both compactness and success probability compared to the previously known schemes requiring six-mode transformations and two photon detectors and providing a success probability of 2/27. We show that the increase in success probability is due to the elevated order of photon interference implemented by our scheme: four photons interfere in our scheme, while three photons interfere in the known scheme.
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