Photodiodes are ALWAYS reverse biased and operate as current sources with light input. All diodes have Maximum capacitance at 0V and decreases with reverse bias. In this case 5pF max. But this only relevant for maximum speed >100kHz~ 1MHz because the Miller Capacitance of your transistor swamps the diode. ( better choices with trans-impedance op amps, TIA and other devices)
3 examples below show low level input switched current is simulated with high voltage and high R.
The best voltage gain with high impedance output is a two stage CE amp.
Choose base/collector ratios of 30 or so for good bandwidth and gain.
My design above
The emitter follower has the advantage of lower output impedance and higher input impedance but no V gain.
The common emitter, (CE) followed by emitter follower suffers from slew rate limiting of Miller capacitance.
But the 2 stage CE with NPN, PNP gives two inversions, thus non-inverting , more voltage gain and output impedance is Rc of 3K is low enough to easily drive logic.
Note that inversion is not a problem as reverse biased to ground with 1M pullup would also invert input signal if you wanted only 1 stage.
Sensitivity and more gain can be improved using a null offset Op Amp as a TIA with a comparator.
Simplified SImulation Photodiode cap removed and important R Ratios
needs java approval
For remote controls they use pulsed carriers so the Rx has AGC BPF and far better range.
Note also I added the Miller Capacitance typical for PN2222 and your Darlingtons.