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As for any platform, one has to choose a suitable $d$-dimensional "computational" subspace. Suitability depends on your application, but generally it means that one should be able to perform operations on that subspace and couple it to other qudits. In practice, these operations will couple the qudit to degrees of freedom outside of the subspace ...


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Intraphoton entanglement uses the degrees of freedom from one photon only to create entanglement. So, here either polarization and linear momentum or polarization and angular momentum can be used to create entanglement. Interphoton entanglement is the entanglement created between 2 spatially separated photons. So, naturally latter is less stable than former. ...


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Hyperentanglement refers to entanglement between multiple degrees of freedom of a given system. It is a concept commonly encountered in some fields of quantum information processing, typically in the context of photonics. As an example, this can mean that you have entanglement between the polarisation and the position degrees of freedom of a single photon. A ...


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"Hyperparellel algorithm" is not a popular term at all and all instances of this phrase seem to be coming from the same group of co-authors. Hyper-entanglement is at least used more in the "mainstream", although it is still not a very common word to hear. In this presentation by NASA they define it as a system being entangled in more than one degree-of-...


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