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Journal of Modern Optics

Linear optical setups for active and passive quantum error correction in polarization encoded qubits

José Cláudio do Nascimento, Fábio Alencar Mendonça, Rubens Viana Ramos

Published Jun 27, 2007• 5 citations
Publisher

Abstract

In this work, we present active and passive linear optical setups for error correction in quantum communication systems that employ polarization of single-photon and mesoscopic coherent states. The proposed systems are analytically analysed and their applications in quantum communication systems are described. In particular, we show a security analysis of a QKD system employing the active error correction system when an eavesdropper uses the Fuchs–Peres–Brandt attack.

DOI
10.1080/09500340601156876

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In this work, we present active and passive linear optical setups for error correction in quantum communication systems that employ polarization of single-photon and mesoscopic coherent states. The proposed systems are analytically analysed and their applications in quantum communication systems are described. In particular, we show a security analysis of a QKD system employing the active error correction system when an eavesdropper uses the Fuchs–Peres–Brandt attack.
In this dissertation, it is realized a study of light polarization and its applications in quantum communications. Initially, the mathematical tools needed for single-photon and coherent states polarization analyses are presented: coherence matrix, Stokes parameters and polarization degree. Following, using numerical simulations, it is presented the variation of the degree of polarization of a single-photon pulse during depolarizing channel propagation. At last, the result of an experiment using coherent states, aiming to measure the degree of polarization after propagation in 200 m optical fiber is presented. The experiment is useful for determination of the parameter of the qubit depolarizing channel model. Since light polarization is easily changed when environment fluctuations are present during fiber propagation, optical schemes able to correct unpredictable polarization changes are studied. Such schemes are employed for error correction in quantum communication systems. Based on already proposed error correction schemes, two new schemes are proposed, one for systems that employs polarization of singlephoton light, and other for systems that employs polarization of two-mode coherent states, being the first active, that is, requiring a control and synchronism protocol, while the second is passive. At last, it is realized a security analysis of a quantum key distribution system, employing the proposed error correction scheme, when the same is under Fuch-Peres-Brandt attack. It is shown that using the proposed error correction scheme the presence of an eavesdropper monitoring the quantum channel is more visible.
In this dissertation it is considered a quantum error correction system for coherent states of light and a complete optical system for probabilistic teleportation of single-photon polarization encoded qubit. Initially, the quantum error correction with the use of redundancy is analyzed. After that, it is presented a form of error correction using time-bin qubit without redundancies. Based on this last approach, a passive quantum error correction system, that is, without external control and synchronization, for quantum communication system employing coherent states, using only linear optical devices, is proposed. It is shown that the quantum error correction system also works for bipartite states of qubits. Following, the teleportation of quantum states is analyzed and an optical system for probabilistic teleportation of single-photon polarization encoded qubit, using only linear optical devices, is proposed. Finally, the error correction and teleportation topics are put together in the proposal of a probabilistic teleportation system using an error correction system for distribution of the entangled pair of photons
In this dissertation, it is realized a study of light polarization and its applications in quantum communications. Initially, the mathematical tools needed for single-photon and coherent states polarization analyses are presented: coherence matrix, Stokes parameters and polarization degree. Following, using numerical simulations, it is presented the variation of the degree of polarization of a single-photon pulse during depolarizing channel propagation. At last, the result of an experiment using coherent states, aiming to measure the degree of polarization after propagation in 200 m optical fiber is presented. The experiment is useful for determination of the parameter of the qubit depolarizing channel model. Since light polarization is easily changed when environment fluctuations are present during fiber propagation, optical schemes able to correct unpredictable polarization changes are studied. Such schemes are employed for error correction in quantum communication systems. Based on already proposed error correction schemes, two new schemes are proposed, one for systems that employs polarization of singlephoton light, and other for systems that employs polarization of two-mode coherent states, being the first active, that is, requiring a control and synchronism protocol, while the second is passive. At last, it is realized a security analysis of a quantum key distribution system, employing the proposed error correction scheme, when the same is under Fuch-Peres-Brandt attack. It is shown that using the proposed error correction scheme the presence of an eavesdropper monitoring the quantum channel is more visible.
One of the most promising physical properties for implementation of quantum technology is light polarization. However, since light polarization is a fragile property, the use of quantum error correction (QEC) is a crucial issue in order to make quantum information over optical network feasible. In this direction, this paper discusses optical setups for quantum error correction in quantum communication setups based on light polarization. In particular, we show how to use the QEC setup to provide error-free entanglement distribution and its use in an error-free probabilistic teleportation setup. Then, we discuss the performance of the error-correction setup in a very noisy channel. Finally, we show that the same QEC setup can also be used to correct bipartite of qubit states.
In this dissertation it is realized a study about quantum key distribution (QKD) in optical networks. Initially, a review of the theory of quantum key distribution and some of its implementations with strongly attenuated coherent states, as well a review of an optical system for physical encryptation using mesoscopic coherent states are realized. Following, it is analyzed the use of an error correction scheme in the physical encryptation system, and two new schemes for quantum key distribution are proposed. The first is a possible implementation of a hybrid system, that is, using weak and mesoscopic coherent states, for QKD and quantum authentication of classical messages. The second is an implementation of a QKD system based on relative phase modulation of sidebands frequency, using two RF carriers and an amplitude modulator in Alice and a phase modulator in Bob. After, an experimental realization of a simple QKD setup using polarization states of strongly attenuated coherent states for B92 protocol is presented. At last, it is realized an experimental characterization of an optical receiver for optical communication applications.
Abstract Quantum key distribution (QKD) is believed to represent a viable solution to achieve theoretically unconditionally secure key generation. However, the available optical systems for experimental QKD, based on photon transmission, are flawed by non-idealities that ultimately limit the achievable performance. Classical simulation of the optical hardware employed in these systems may take on a determining role in engineering future QKD networks. In this article, attempts for developing a QKD simulator based on low-computational-cost models of the employed hardware are presented. In particular, the simulation infrastructure targets polarization-based QKD setups with faint laser sources, whose behaviour can be described by semiclassical coherent states and Mean Photon Number (MPN) per beam. The effects of passive optical components on the photonic qubit evolution are described by Jones matrices, whose coefficients, for some commercial devices, are stored in anad-hoclibrary. Realistic eavesdropping attacks and non-idealities, such as optical losses, fibre attenuation, polarization misalignment and limited efficiency of single-photon detectors, are also taken into account. The infrastructure allows the user to describe the desired QKD configuration and it provides in output the MPN at the receiver and two fiducial performance parameters: Quantum Bit Error Rate (QBER) and secure key rate. The comparison of the simulation results with experimental data in the state-of-the-art literature highlights that this work is a step forward towards the definition of compact models for the hardware-dependent simulation of quantum-assisted communication networks.