Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Communications

Statistical model for a quantum noiseless subsystem

José Cláudio do Nascimento, Paulo Mateus

Published Nov 10, 2010• 1 citation
Publisher

Abstract

One of the most promising physical properties for implementing quantum technology is light polarization. However, since light polarization is fragile, it is crucial to use quantum error correction in order to make quantum information over optical networks feasible. This paper performs a statistical analysis of a noiseless subsystem technique to correct errors on quantum information sent through light polarization. We discuss the performance of the noiseless subsystem scheme in a noisy channel using a two-dimensional random walk to represent the channel variation. Finally, we propose an expression to measure the efficiency of the analyzed setup using the degree of depolarization of the light.

DOI
10.1016/j.optcom.2010.10.080

Related papers

Statistical model performance evaluating a quantum error correction system

Paulo Henrique da Silva Franco

One of the most used physical properties to implement quantum technology is the polarization of the light. However, since the polarization of the light is fragile, it is essential that a quantum error correction system is used to make quantum information feasible in the polarization of a photon. A method of correction of polarization proposed for isolated photons divides the channel into sub-channels in such a way that only the variation in those sub-channels destroys the information. Therefore, rapid changes must occur in the moment that two optical pulses pass through the sub-channel. This work analyses a statistical model that uses the degree of depolarization of the light as a probability for the sub-channel to undergo minute variations in the time between the passage of two pulses. To model the variations of the parameters of the channel, it is used the probabilistic method of Poisson, applied to rare events. An estimate can be done using numerical methods which measures the degree of polarization of the light to predict how would be the behavior in the practice of the quantum error correction system studied.

•Jan 1, 2013•0 citations

Quantum Communication With Polarization-Encoded Qubit Using Quantum Error Correction

Daniel Barbosa de Brito, José Cláudio do Nascimento, Rubens Viana Ramos

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.

IEEE Journal of Quantum Electronics•Jan 4, 2008•4 citations

Error correction in quantum communication system using polarization of coherent states and single-photons

José Cláudio do Nascimento

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.

•Jan 1, 2006•0 citations

Correção de erro em sistemas de comunicação quântica utilizando polarização de estados coerentes e fótons isolados

José Cláudio do Nascimento

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.

•Jan 1, 2006•0 citations

Optical implementation of a unitarily correctable code

K. M. Schreiter, Aron Pasieka, Rainer Kaltenbaek +2 more

Noise poses a challenge for any real-world implementation in quantum information science. The theory of quantum error correction deals with this problem via methods to encode and recover quantum information in a way that is resilient against that noise. Unitarily correctable codes are an error correction technique wherein a single unitary recovery operation is applied without the need for an ancilla Hilbert space. Here, we present an optical implementation of a nontrivial unitarily correctable code for a noisy quantum channel with no decoherence-free subspaces or noiseless subsystems. We show that recovery of our initial states is achieved with high fidelity $(\ensuremath{\ge}0.97)$, quantitatively proving the efficacy of this unitarily correctable code.

arXiv:0909.1584•Physical Review A•Aug 7, 2009•6 citations

Hybrid noiseless subsystems for quantum communication over optical fibres

Jonathan L. Ball, Konrad Banaszek

We derive the general structure of noiseless subsystems for optical radiation contained in a sequence of pulses undergoing collective depolarization in an optical fiber. This result is used to identify optimal ways to implement quantum communication over a collectively depolarizing channel, which in general combine various degrees of freedom, such as polarization and phase, into joint hybrid schemes for protecting quantum coherence.

arXiv:quant-ph/0410077•Journal of Physics A Mathematical and General•Dec 7, 2005•5 citations
One of the most promising physical properties for implementing quantum technology is light polarization. However, since light polarization is fragile, it is crucial to use quantum error correction in order to make quantum information over optical networks feasible. This paper performs a statistical analysis of a noiseless subsystem technique to correct errors on quantum information sent through light polarization. We discuss the performance of the noiseless subsystem scheme in a noisy channel using a two-dimensional random walk to represent the channel variation. Finally, we propose an expression to measure the efficiency of the analyzed setup using the degree of depolarization of the light.
One of the most used physical properties to implement quantum technology is the polarization of the light. However, since the polarization of the light is fragile, it is essential that a quantum error correction system is used to make quantum information feasible in the polarization of a photon. A method of correction of polarization proposed for isolated photons divides the channel into sub-channels in such a way that only the variation in those sub-channels destroys the information. Therefore, rapid changes must occur in the moment that two optical pulses pass through the sub-channel. This work analyses a statistical model that uses the degree of depolarization of the light as a probability for the sub-channel to undergo minute variations in the time between the passage of two pulses. To model the variations of the parameters of the channel, it is used the probabilistic method of Poisson, applied to rare events. An estimate can be done using numerical methods which measures the degree of polarization of the light to predict how would be the behavior in the practice of the quantum error correction system studied.
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 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 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.
Noise poses a challenge for any real-world implementation in quantum information science. The theory of quantum error correction deals with this problem via methods to encode and recover quantum information in a way that is resilient against that noise. Unitarily correctable codes are an error correction technique wherein a single unitary recovery operation is applied without the need for an ancilla Hilbert space. Here, we present an optical implementation of a nontrivial unitarily correctable code for a noisy quantum channel with no decoherence-free subspaces or noiseless subsystems. We show that recovery of our initial states is achieved with high fidelity $(\ensuremath{\ge}0.97)$, quantitatively proving the efficacy of this unitarily correctable code.