The Experts below are selected from a list of 15147 Experts worldwide ranked by ideXlab platform

Andrzej Dziech - One of the best experts on this subject based on the ideXlab platform.

  • multidimensional enhanced hadamard Error Correcting Code in comparison with reed solomon Code in video watermarking applications
    WSEAS Transactions on Signal Processing archive, 2017
    Co-Authors: Jakob Wassermann, Andrzej Dziech
    Abstract:

    Watermarking technology.play a central role in the digital right management for multimedia data. Especially a video watermarking is a real challenge, because of very high compression ratio (about 1:200). Normally the watermarks can barely survive such massive attacks, despite very sophisticated embedding strategies. It can only work with a sufficient Error Correcting Code method. In this paper, the authors introduce a new developed Enhanced Multidimensional Hadamard Error Correcting Code (EMHC), which is based on well known Hadamard Code, and compare his performance with Reed-Solomon Code regarding its ability to preserve watermarks in the embedded video. The main idea of this new developed multidimensional Enhanced Hadamard Error Correcting Code is to map the 2D basis images into a collection of one-dimensional rows and to apply a 1D Hadamard decoding procedure on them. After this, the image is reassembled, and the 2D decoding procedure can be applied more efficiently. With this approach, it is possible to overcome the theoretical limit of Error Correcting capability of (d-1)/2 bits, where d is a minimum Hamming distance. Even better results could be achieved by expanding the 2D to 3D EMHC. A full description is given of encoding and decoding procedure of such Hadamard Cubes and their implementation into video watermarking procedure.To prove the efficiency and practicability of this new Enhanced Hadamard Code, the method was applied to a video Watermarking Coding Scheme. The Video Watermarking Embedding procedure decomposes the initial video through Multi-Level Interframe Wavelet Transform. The low pass filtered part of the video stream is used for embedding the watermarks, which are protected respectively by Enhanced Hadamard or Reed-Solomon Correcting Code. The experimental results show that EHC performs much better than RS Code and seems to be very robust against strong MPEG compression.

  • application of enhanced hadamard Error Correcting Code in video watermarking and his comparison to reed solomon Code
    MATEC Web of Conferences, 2017
    Co-Authors: Andrzej Dziech, Jakob Wassermann
    Abstract:

    Error Correcting Codes are playing a very important role in Video Watermarking technology. Because of very high compression rate (about 1:200) normally the watermarks can barely survive such massive attacks, despite very sophisticated embedding strategies. It can only work with a sufficient Error Correcting Code method. In this paper, the authors compare the new developed Enhanced Hadamard Error Correcting Code (EHC) with well known Reed-Solomon Code regarding its ability to preserve watermarks in the embedded video. The main idea of this new developed multidimensional Enhanced Hadamard Error Correcting Code is to map the 2D basis images into a collection of one-dimensional rows and to apply a 1D Hadamard decoding procedure on them. After this, the image is reassembled, and the 2D decoding procedure can be applied more efficiently. With this approach, it is possible to overcome the theoretical limit of Error Correcting capability of ( d -1)/2 bits, where d is a Hamming distance. Even better results could be achieved by expanding the 2D EHC to 3D. To prove the efficiency and practicability of this new Enhanced Hadamard Code, the method was applied to a video Watermarking Coding Scheme. The Video Watermarking Embedding procedure decomposes the initial video trough multi-Level Interframe Wavelet Transform. The low pass filtered part of the video stream is used for embedding the watermarks, which are protected respectively by Enhanced Hadamard or Reed-Solomon Correcting Code. The experimental results show that EHC performs much better than RS Code and seems to be very robust against strong MPEG compression.

Raymond Laflamme - One of the best experts on this subject based on the ideXlab platform.

  • Experimental implementation of enCoded logical qubit operations in a perfect quantum Error Correcting Code.
    Physical review letters, 2012
    Co-Authors: Jingfu Zhang, Raymond Laflamme, Dieter Suter
    Abstract:

    Large-scale universal quantum computing requires the implementation of quantum Error correction (QEC). While the implementation of QEC has already been demonstrated for quantum memories, reliable quantum computing requires also the application of nontrivial logical gate operations to the enCoded qubits. Here, we present examples of such operations by implementing, in addition to the identity operation, the NOT and the Hadamard gate to a logical qubit enCoded in a five qubit system that allows correction of arbitrary single-qubit Errors. We perform quantum process tomography of the enCoded gate operations, demonstrate the successful correction of all possible single-qubit Errors, and measure the fidelity of the enCoded logical gate operations.

  • benchmarking quantum computers the five qubit Error Correcting Code
    Physical Review Letters, 2001
    Co-Authors: E Knill, Raymond Laflamme, Rodolfo A Martinez, C Negrevergne
    Abstract:

    The smallest quantum Code that can correct all one-qubit Errors is based on five qubits. We experimentally implemented the encoding, decoding, and Error-correction quantum networks using nuclear magnetic resonance on a five spin subsystem of labeled crotonic acid. The ability to correct each Error was verified by tomography of the process. The use of Error correction for benchmarking quantum networks is discussed, and we infer that the fidelity achieved in our experiment is sufficient for preserving entanglement.

  • perfect quantum Error Correcting Code
    Physical Review Letters, 1996
    Co-Authors: Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, Wojciech H. Zurek
    Abstract:

    We present a quantum Error correction Code which protects a qubit of information against general one qubit Errors. To accomplish this, we enCode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state {vert_bar}0{r_angle} to the enCoded state. It can also be converted into a deCoder by running it backward. The original state of the enCoded qubit can then be restored by a simple unitary transformation. {copyright} {ital 1996 The American Physical Society.}

  • perfect quantum Error Correcting Code
    Physical Review Letters, 1996
    Co-Authors: Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, Wojciech H. Zurek
    Abstract:

    We present a quantum Error correction Code which protects a qubit of information against general one qubit Errors. To accomplish this, we enCode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state $|0〉$ to the enCoded state. It can also be converted into a deCoder by running it backward. The original state of the enCoded qubit can then be restored by a simple unitary transformation.

Wojciech H. Zurek - One of the best experts on this subject based on the ideXlab platform.

  • perfect quantum Error Correcting Code
    Physical Review Letters, 1996
    Co-Authors: Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, Wojciech H. Zurek
    Abstract:

    We present a quantum Error correction Code which protects a qubit of information against general one qubit Errors. To accomplish this, we enCode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state {vert_bar}0{r_angle} to the enCoded state. It can also be converted into a deCoder by running it backward. The original state of the enCoded qubit can then be restored by a simple unitary transformation. {copyright} {ital 1996 The American Physical Society.}

  • perfect quantum Error Correcting Code
    Physical Review Letters, 1996
    Co-Authors: Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, Wojciech H. Zurek
    Abstract:

    We present a quantum Error correction Code which protects a qubit of information against general one qubit Errors. To accomplish this, we enCode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state $|0〉$ to the enCoded state. It can also be converted into a deCoder by running it backward. The original state of the enCoded qubit can then be restored by a simple unitary transformation.

Jakob Wassermann - One of the best experts on this subject based on the ideXlab platform.

  • multidimensional enhanced hadamard Error Correcting Code in comparison with reed solomon Code in video watermarking applications
    WSEAS Transactions on Signal Processing archive, 2017
    Co-Authors: Jakob Wassermann, Andrzej Dziech
    Abstract:

    Watermarking technology.play a central role in the digital right management for multimedia data. Especially a video watermarking is a real challenge, because of very high compression ratio (about 1:200). Normally the watermarks can barely survive such massive attacks, despite very sophisticated embedding strategies. It can only work with a sufficient Error Correcting Code method. In this paper, the authors introduce a new developed Enhanced Multidimensional Hadamard Error Correcting Code (EMHC), which is based on well known Hadamard Code, and compare his performance with Reed-Solomon Code regarding its ability to preserve watermarks in the embedded video. The main idea of this new developed multidimensional Enhanced Hadamard Error Correcting Code is to map the 2D basis images into a collection of one-dimensional rows and to apply a 1D Hadamard decoding procedure on them. After this, the image is reassembled, and the 2D decoding procedure can be applied more efficiently. With this approach, it is possible to overcome the theoretical limit of Error Correcting capability of (d-1)/2 bits, where d is a minimum Hamming distance. Even better results could be achieved by expanding the 2D to 3D EMHC. A full description is given of encoding and decoding procedure of such Hadamard Cubes and their implementation into video watermarking procedure.To prove the efficiency and practicability of this new Enhanced Hadamard Code, the method was applied to a video Watermarking Coding Scheme. The Video Watermarking Embedding procedure decomposes the initial video through Multi-Level Interframe Wavelet Transform. The low pass filtered part of the video stream is used for embedding the watermarks, which are protected respectively by Enhanced Hadamard or Reed-Solomon Correcting Code. The experimental results show that EHC performs much better than RS Code and seems to be very robust against strong MPEG compression.

  • application of enhanced hadamard Error Correcting Code in video watermarking and his comparison to reed solomon Code
    MATEC Web of Conferences, 2017
    Co-Authors: Andrzej Dziech, Jakob Wassermann
    Abstract:

    Error Correcting Codes are playing a very important role in Video Watermarking technology. Because of very high compression rate (about 1:200) normally the watermarks can barely survive such massive attacks, despite very sophisticated embedding strategies. It can only work with a sufficient Error Correcting Code method. In this paper, the authors compare the new developed Enhanced Hadamard Error Correcting Code (EHC) with well known Reed-Solomon Code regarding its ability to preserve watermarks in the embedded video. The main idea of this new developed multidimensional Enhanced Hadamard Error Correcting Code is to map the 2D basis images into a collection of one-dimensional rows and to apply a 1D Hadamard decoding procedure on them. After this, the image is reassembled, and the 2D decoding procedure can be applied more efficiently. With this approach, it is possible to overcome the theoretical limit of Error Correcting capability of ( d -1)/2 bits, where d is a Hamming distance. Even better results could be achieved by expanding the 2D EHC to 3D. To prove the efficiency and practicability of this new Enhanced Hadamard Code, the method was applied to a video Watermarking Coding Scheme. The Video Watermarking Embedding procedure decomposes the initial video trough multi-Level Interframe Wavelet Transform. The low pass filtered part of the video stream is used for embedding the watermarks, which are protected respectively by Enhanced Hadamard or Reed-Solomon Correcting Code. The experimental results show that EHC performs much better than RS Code and seems to be very robust against strong MPEG compression.

David G Cory - One of the best experts on this subject based on the ideXlab platform.

  • experimental implementation of a concatenated quantum Error Correcting Code
    Physical Review Letters, 2005
    Co-Authors: Nicolas Boulant, Lorenza Viola, Evan M Fortunato, David G Cory
    Abstract:

    : Concatenated coding provides a general strategy to achieve the desired level of noise protection in quantum information processing. We report the implementation of a concatenated quantum Error-Correcting Code able to correct phase Errors with a strong correlated component. The experiment was performed using liquid-state nuclear magnetic resonance techniques on a four spin subsystem of labeled crotonic acid. Our results show that concatenation between active and passive quantum Error correction is a practical tool to handle realistic noise involving both independent and correlated Errors.