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Adiabatic quantum processing in an atom-cavity-fibre network through a manifold of dark states

Santosh Kumar, Deepak Kumar

Published Dec 1, 2012• 0 citations
OpenAlex

Abstract

Recently, we propose a scalable quantum network [Phys. Rev. A, 85 052317 (2012)], in which all quantum operations can be executed through external control lasers. This scheme has a drawback that the number of qubits are logN for a network of N nodes. We are perusing procedure which may circumvent this disadvantage.

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We propose a scalable network, in which all quantum operations can be executed through external controls. Nodes of this network are high-finesse electromagnetic cavities, each coupled to a single three-level atom. The nodes are connected by optical fibers. Each atom is addressed by a control laser, which along with the cavity field drives atomic transitions. The network can be in the form of arrays of N-cavities connected by NB fibers in one to three dimensions. We find that under certain conditions, the system possesses two kinds of degenerate dark states. The first kind are N states corresponding to atomic excitations at each node and these are our logical states for quantum processing. The second kind are NB states on pairs of sites connected by a fibre. By manipulating intensities and phases of control lasers on the cavities, one can pass adiabatically among these dark states due to their degeneracy. This network operates as a N-level quantum system in which one can generate computationally useful states by protocols of external controls. We obtain numerical results for small chains and square lattices to demonstrate some quantum operations like the transport of states across the array, generation of superposed states and phase-flipping in a network. We also discuss effects of dissipation and limitations of the model.
We consider a network whose nodes are electromagnetic cavities, each coupled to a single three-level atom. The nodes are connected by optical fibers. Each atom is addressed by a control laser, which along with the cavity field drives atomic transitions. The network can be in the form of chain or two- and three-dimensional arrays of NNN cavities connected by NB{N}_{B}NB​ fibers. Following the work on a two-cavity system by Pellizzari, we find that under certain conditions the system possesses two kinds of dark states. The first kind are NNN states corresponding to atomic excitations at each node and these are our logical states for quantum processing. The second kind are NB{N}_{B}NB​ degenerate dark states on pairs of sites connected by a fiber. By manipulating intensities and phases of control lasers on the cavities, one can pass adiabatically among these dark states due to their degeneracy. This network operates as an NNN-level quantum system in which one can generate computationally useful states by protocols of external controls. We obtain numerical results for small chains and lattices to demonstrate some quantum operations such as the transport of states across the array, generation of WWW states, and Fourier-like states. We also discuss effects of dissipation and limitations of the model.
A scheme, based on the system composed of three atoms separately trapped in three cavities coupled by optical fibres, for entangling two distant atoms via the adiabatic passage is proposed. It is found that the multi-particle W entangled state can also be generated. Moreover, the quantum information sharing can be implemented using this system. These results may be helpful for the implementation of quantum network and useful in quantum cryptography. This scheme is also convenient for operating since only the laser fields applied to the atoms need to be adjusted to accomplish the processes.
A simple scheme is presented to realize state transfer and entanglement with atomic ensembles in a one-dimensional fibre-coupled cavity chain. It is immune to atomic spontaneous emission, cavity decay and fibre decay by adiabatic dark state evolution. Moreover, with atomic-ensemble qubits instead of single-atom qubits, the process can be speeded up, which is important in view of decoherence. The most interesting aspect is that it can realize state transfer, the two-node maximum entanglement state between any selected two nodes and the m -node W state among any selected m nodes, which might be very useful in selective participation in distributed quantum information processing.
A scheme is presented to realize transfer of a three-dimensional quantum state between two atoms trapped in distant cavities connected by an optical fiber, whose mode is resonant with the polarization cavity modes. Performing an adiabatic passage along dark states, the fiber mode remains in the vacuum state and the population of the cavities being excited can be negligible under certain conditions. In addition, atomic transitions in our scheme are largely detuned from cavity modes. As a consequence, the atomic spontaneous emission and the fiber decay can be effectively eliminated. Furthermore, we give some discussions about the fidelity of our scheme.