For simulations over many repetition of the state generation experiment consult the Ensemble Sims Page.
For single instances of the experiment with detailed visualizations consider the Single Trajectory Sim Page.
The success probability of a Barret-Kot procedure is
P = η²/2
where η is the efficiency of the heralding step. That efficiency itself is
η = ηᵒᵖᵗ ξᴼᴮ F / (F-1 + (ξᴰᵂξᴱ)⁻¹ )
where
ηᵒᵖᵗ is the efficiency of the optical routing
F is the Purcell factor
ξᴼᴮ is the optical branching coeff. of the emitter
ξᴰᵂ is the Debye-Waller coeff. of the emitter
ξᴱ is the quantum efficiency coeff. of the emitter
The default parameter values for emitter properties are mostly taken from
10.1103/PhysRevLett.124.023602 and
10.1103/PhysRevX.11.041041. For the nuclear spins we reused some NV⁻ data. Below are the defaults.
Parameters:
ξᴼᴮ = 0.8
Fᵉⁿᵗ = 1.0
gʰᶠ = 42600.0
ηᵒᵖᵗ = 0.1
ξᴰᵂ = 0.57
T₂ᵉ = 0.01
Fᵖᵘʳᶜ = 10.0
ξᴱ = 0.8
Fᵐᵉᵃˢ = 0.99
T₁ᵉ = 1.0
T₂ⁿ = 100.0
T₁ⁿ = 100000.0
τᵉⁿᵗ = 0.015
But are easy to add when we get around to it...
time gating of the detectors might be quite important but it is not used
it would increase fidelity
it would decrease efficiency
mismatches between emitters (random or systematic) are lumped into "raw entanglement fidelity"
the Purcell factor's effect on the spectral properties (indistinguishability) of the photons
detector dark counts and other imperfections are lumped into "coincidence measurement fidelity"
most single-qubit gate times and fidelities are neglected
initialization of the nuclear and electronic spins is not modeled in detail
bleaching and charge state instability are not modeled
dead time from reconfiguring optical paths is not modeled
crosstalk in microwave control is not modeled
optical crosstalk and poor extinction are not modeled
decoupling the electronic and nuclear spin after a failed measurement is not modeled in detail