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Journal of Yanbian University

Preparing a four-atom cluster state via photonic faraday rotations

HE Shuan

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

We propose a scheme for preparing a four-atom cluster state via photonic Faraday rotations in loss optical cavities connected by optical fibers.In this scheme,four three-level atoms are trapped inside coupled cavities,and the information is encoded in the low energy level,therefore our scheme is insensitive to both cavity decay and atomic spontaneous emission,so that the entanglement is more stable.

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We propose a scheme for preparing a four-atom cluster state via photonic Faraday rotations in loss optical cavities connected by optical fibers.In this scheme,four three-level atoms are trapped inside coupled cavities,and the information is encoded in the low energy level,therefore our scheme is insensitive to both cavity decay and atomic spontaneous emission,so that the entanglement is more stable.
Based on the input-output relation in low-Q cavities, we propose a feasible scheme to prepare remotely a single-atom state via photonic Faraday rotation, and then the scheme is generalized to the case of remote preparation of a two-atom entangled state. Our results show that when the coefficients of the initial atomic state to be prepared are real, both remote preparation of the single-atom state and that of the two-atom entangled state can be achieved deterministically by selecting appropriate parameters of the systems for the interactions among the atom, polarized single-photon pulse, and cavity field. Compared with the existing schemes for remote preparation of atomic states, in our scheme photons are used as flying qubits to transmit quantum information, which is suitable indeed to achieve a long-distance atomic state preparation in principle. Due to the fact that the information of atomic state is encoded in two degenerate ground-state levels of a -type three-level atom confined in a unilateral dissipative cavity, and that the atoms are only virtually excited, our schemes are insensitive to both cavity decay and atomic spontaneous emission. Besides, the two schemes we proposed do not need two- or multi-particle orthogonal measurements, only product-state measurements are involved, as well as they work in low-Q regime and do not require a strong coupling condition between the atoms and the optical cavities, which greatly reduce the experimental difficulty.
We propose a scheme to prepare the GHZ state of the atoms using the Faraday rotation produced by the input and output process of photons in the low quality cavity.The coupling between atom and cavity isn't strong in the scheme.Meanwhile,the quantum information is encoded in the low energy level of atoms.Therefore,our scheme is insensitive to both cavity decay and atomic spontaneous emission.In addition,we need not to impose the classical field or choose interaction time during the whole process,which reduces the difficulty of experiment.
We propose an optical scheme to generate cluster states of atomic qubits, with each trapped in separate optical cavity, via atom-cavity-laser interaction. The quantum information of each qubit is encoded on the degenerate ground states of the atom, hence the entanglement between them is relatively stable against spontaneous emission. A single-photon source and two classical fields are employed in the present scheme. By controlling the sequence and time of atom-cavity-laser interaction, we show that the atomic cluster states can be produced deterministically.
Logical entangled states are essential for quantum information processing due to their robustness against environmental noise and decoherence. We propose a scheme for generating logical cluster states based on photonic Faraday rotation in atom-cavity coupling systems. A physical cluster state is generated first. Subsequently, additional single photons assist in transforming each physical qubit into a physical GHZ state, which serves as a logical qubit. After replacing all physical qubits with logical qubits, the logical cluster state is obtained. The responses of photon detectors reveal low-probability errors arising from photon input-output imbalances, but these measurements do not induce scheme failure. Optical attenuators balance optical paths, guaranteeing unity fidelity in theory.
We propose two alternative entanglement concentration protocols (ECPs) using the Faraday rotation of photonic polarization. Through the single-photon input-output process in cavity QED, it is shown that the maximally entangled atomic (photonic) state can be extracted from two partially entangled states. The distinct feature of our protocols is that we can concentrate both atomic and photonic entangled states via photonic Faraday rotation, and thus they may be universal and useful for entanglement concentration in the experiment. Furthermore, as photonic Faraday rotation works in low-QQQ cavities and only involves virtual excitation of atoms, our ECPs are insensitive to both cavity decay and atomic spontaneous emission.