I have some doubts about the nondegenrate polarization entangled photon pairs. In most of the reported experiments, the nondegenrate photon pairs are generated via second order nonlinear processes.
However, the photons need to be indistinguishable in the quantum computation scheme. But the wavelength are different for signal and idler photons of such polarization entangled state. How would such nondegenerate photon pairs be used in quantum computation?
You must define which are the degrees of freedom that you want to use in the computation. The point of entangled photon pairs is that is not precise to say that "photon 1 has polarization |1> and photon 2 has polarization |2>".
If in an procedure using quantum computation you are using some other property of photons to process information, then certainly you will be able to say, for example, that "photon 1 has momenta k1 and photon 2 has momenta k2" and maybe that is not the way you want your system to behave to do that task.
as you familiar with quantum entanglement property f quantum system. when quantum state are entangled then you have to measure only one state instantaneously other state measured/observed so you have to just need to observation with one state then automatically you could predict about second state and other many entangled states. it is also show superposition property of quantum states , these both things we can use in quantum computing , we need only quantum entangled states. every indistinguishable is not entangled state.
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