Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by a quantum dot inside a one-side optical microcavity

Abstract

Up to now, all the works about constructing quantum logic gates, an essential part in quantum computing, are focused on operating on one degree of freedom (DOF) of quantum systems. Here, we investigate the possibility to achieve a scalable photonic quantum computing based on two DOFs of quantum systems and construct a deterministic hyper-controlled-not (hyper-CNOT) gate operating on both spatial-mode and polarization DOFs of a photon pair simultaneously, by using the giant optical Faraday rotation induced by a single-electron spin in a quantum dot inside a one-side optical microcavity as a result of cavity quantum electrodynamics. With this hyper-CNOT gate and linear optical elements, two-photon four-qubit cluster entangled states can be prepared and analyzed, which gives an application to manipulate more information with less resources. We analyze the experimental feasibility of this hyper-CNOT gate and show that it can be implemented with current technology.

Universal remote quantum computation assisted by the cavity input–output process

“…Conversely, if the excess electron spin is in the state | ↓ , after reflection the pulse |R gets a phase shift of θ h while the pulse |L gets a phase shift of θ 0 . Generally, for initial electron spin in the state α 2 | ↑ + β 2 | ↓ , the optical interaction leads to the following transformation [32,40,50,52]:…”

Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement

“…In 2008, it was exploited to beat the channel capacity limit in a protocol in which complete BSA of polarization states is aided by the orbital angular momentum [21]. Hyperentangled states have also been used to accomplish deterministic entanglement purification of polarization entanglement [22][23][24][25], construct hyperparallel photonic quantum computing [26,27] and quantum repeaters [28]. Entanglement concentration and entanglement purification protocols for hyperentangled state have also been proposed with the aim of establishing maximally hyperentangled channels between distant parties [29][30][31][32][33][34][35][36].…”

Hyperentanglement concentration for time-bin and polarization hyperentangled photons

“…Hyperentangled states can be used to beat the channel capacity limit of superdense coding with linear optics [23,24], construct hyper-parallel photonic quantum computing [25,26] which can reduces the operation time and the resources consumed in quantum information processing, achieve the high-capacity quantum communication with the complete teleportation and entanglement swapping in two DOFs [27,28]. They can also help to design deterministic entanglement purification protocols [29][30][31][32] which work in a deterministic way, not a probabilistic one, far different from conventional entanglement purifi- * Email address: xihanlicqu@gmail.com cation protocols [33][34][35].…”