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International Journal of Quantum Information

THE PHOTON-LIKE FLYING QUBIT IN THE COUPLED CAVITY ARRAY

MING-XIA HUO, Ying Li, Z. Song, Chang-Pu Sun

Published Mar 1, 2012• 0 citations
Publisher

Abstract

We propose the simulation for an effective scheme to realize a spin network with tunable long-range couplings in the coupled cavity array with external multi-driving lasers. Via this scheme, the linear photon-like dispersion relation is achievable, which could be employed to perform a perfect quantum state transfer. Numerical results show that when applying two lasers in each cavity, the fidelity is higher than the highest fidelity of a classical transfer even for the transfer distance l increases up to 100 sites. In the simulation, as the number of lasers increases, the fidelity will be evidently enhanced for a wide range of l.

DOI
10.1142/s0219749912500025

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Quantum state transfer between distant nodes is at the heart of quantum processing and quantum networking. Stimulated by this, we propose a scheme where one can achieve quantum state transfer with a high fidelity between sites in a cavity quantum optomechanical network. In our lattice, each individual site is composed of a localized mechanical mode which interacts with a laser-driven cavity mode via radiation pressure, while photons hop between neighboring sites. After diagonalization of the Hamiltonian of each cell, we show that the system can be reduced to an effective Hamiltonian of two decoupled bosonic chains, and therefore we can apply the well-known results in quantum state transfer together with an additional condition on the transfer times. In fact, we show that our transfer protocol works for any arbitrary joint quantum state of a mechanical and an optical mode. Finally, in order to analyze a more realistic scenario we take into account the effects of independent thermal reservoirs for each site. By solving the standard master equation within the Born-Markov approximation, we reassure both the effective model and the feasibility of our protocol.
A system of two coupled cavities with N - 1 photons is shown to be dynamically equivalent to an array of N coupled cavities containing one photon. Every transition in the two cavity system has a dual phenomenon in terms of photon transport in the cavity array. This duality is employed to arrive at the required coupling strengths and nonlinearities in the cavity array so that controlled photon transfer is possible between any two cavities. This transfer of photons between two of the cavities in the array is effected without populating the other cavities. The condition for perfect transport enables perfect state transfer between any two cavities in the array. Further, possibility of high fidelity generation of generalized NOON states in two coupled cavities, which are dual to the Bell states of the photon in the cavity array, is established.