Building a four-photon linear-optical cluster state requires two post-selected…
PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Quantum Information & Technology · Physical realizations and quantum technologies
Quantum Information and Technology, Ch Trapped ions, neutral atoms, photons, NMR and spins in solids
Problem
Building a four-photon linear-optical cluster state requires two post-selected controlled-Z gates in series, each succeeding with probability 1/9 (quoted for the linear-optical CZ), after which all four output photons must be registered by superconducting nanowire single-photon detectors of efficiency 90% each.
((a)) Estimate the overall probability that a single attempt yields a successful, fully detected four-photon state.
((b)) Estimate the number of attempts needed for an expected one success.
((c)) If fresh photon pulses are produced at a repetition rate of 80MHz, estimate how long, on average, one successful event takes to occur.