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Physica Scripta

Fidelity of structured amplitude-damping channels

Jing Wang, Jiang Li, Han Zhang, Hanzhuang Zhang, Liquan Zhang

Published Mar 22, 2011• 1 citation
Publisher

Abstract

We study the properties of the fidelity of one-qubit operations in amplitude damping channels and reveal their properties as a function of coupling to the photonic crystal environment. We show that there is a direct connection between the information fidelity and the detuning of the atomic frequency from the photonic band gap (PBG). When the atomic transition frequency is far inside the band gap, the time evolution of the fidelity maintains asymptotically a steady-state value and can be controlled by the controllable PBG environment. We finally study the entanglement fidelity of the two-qubit system in this quantum channel. The theoretical results could be applied to the implementation of linear-optical and solid-state quantum information processing in nanostructured materials.

DOI
10.1088/0031-8949/83/04/045008

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We study the properties of the fidelity of one-qubit operations in amplitude damping channels and reveal their properties as a function of coupling to the photonic crystal environment. We show that there is a direct connection between the information fidelity and the detuning of the atomic frequency from the photonic band gap (PBG). When the atomic transition frequency is far inside the band gap, the time evolution of the fidelity maintains asymptotically a steady-state value and can be controlled by the controllable PBG environment. We finally study the entanglement fidelity of the two-qubit system in this quantum channel. The theoretical results could be applied to the implementation of linear-optical and solid-state quantum information processing in nanostructured materials.
We study how the environment of photonic band gap (PBG) materials affects entanglement dynamics of qubits. Entanglement between the single qubit and the PBG environment is investigated through the von Neumann entropy while that for two initially entangled qubits in this PBG reservoir is through concurrence. Dynamics of these measurements are solved in use of the fractional calculus which has been shown appropriate for the systems with non-Markovian dynamics. Entropy dynamics of the single qubit system reveals that the coupling with the PBG reservoir prevents decoherence of the qubit through the steady entropy with non-zero value. The effect of PBG reservoir on the concurrence of the two-qubit system leads to the long-time entanglement preservation. The concurrence dynamics shows that unphysical entanglement trapping does not exist in the system with the qubit frequency lying outside the PBG region. Long-time memory effect of the PBG reservoir occurs only for the qubit frequency in the PBG region. Entanglement mechanisms resulting from this long-time memory effect are discussed.
The single photon occupation of a localized field mode within an engineered network of defects in a photonic band-gap (PBG) material is proposed as a unit of quantum information (qubit). Qubit operations are mediated by optically-excited atoms interacting with these localized states of light as the atoms traverse the connected void network of the PBG structure. We describe conditions under which this system can have independent qubits with controllable interactions and very low decoherence, as required for quantum computation.
The single photon occupation of a localized field mode within an engineered network of defects in a photonic band-gap (PBG) material is proposed as a unit of quantum information (qubit). Qubit operations are mediated by optically-excited atoms interacting with these localized states of light as the atoms traverse the connected void network of the PBG structure. We describe conditions under which this system can have independent qubits with controllable interactions and very low decoherence, as required for quantum computation.
A comparative study of a qutrit (three-level atomic system) coupled to a classical field in a typical Markovian reservoir (free space) and in a photonic-band-gap (PBG) crystal is carried out. The aim of the study is to assess the collective impact of a structured environment and classical control of the system on the dynamics of quantum coherence, non-Markovianity, and estimation of parameters that are initially encoded in the atomic state. We show that the constructive interplay of PBG material as a medium and a classical driving field as a part of the system results in a significant enhancement of all the quantum traits of interest, compared to the case when the driven qutrit is in a Markovian environment. Our results supply insights for preserving and enhancing quantum features in qutrit systems, which are promising alternative candidates to be used in quantum processors instead of qubits.
The single photon occupation of a localized field mode within an engineered network of defects in a photonic band-gap (PBG) material is proposed as a unit of quantum information (qubit). Qubit operations are mediated by optically-excited atoms interacting with these localized states of light as the atoms traverse the connected void network of the PBG structure. We describe conditions under which this system can have independent qubits with controllable interactions and very low decoherence, as required for quantum computation.
We study the quantum dynamics of relaxation, decoherence and entropy of a qubit embedded in an anisotropic photonic crystal (PhC) through fractional calculus. These quantum measurements are investigated by analytically solving the fractional Langevin equation. The qubit with frequency lying inside the photonic band gap (PBG) exhibits the preserving behavior of energy, coherence and information amount through the steady values of excited-state probability, polarization oscillation and von Neumann entropy. This preservation does not exist in the Markovian system with qubit frequency lying outside the PBG region. These accurate results are based on the appropriate mathematical method of fractional calculus and reasonable inference of physical phenomena.