The Experts below are selected from a list of 6426 Experts worldwide ranked by ideXlab platform
Samuel L Braunstein - One of the best experts on this subject based on the ideXlab platform.
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quantum Error Correction for communication with linear optics
Nature, 1998Co-Authors: Samuel L BraunsteinAbstract:Improving the signal-to-noise ratio in optical communication systems is a fundamental requirement for cost-effective data transmission. This is particularly important for the transmission of noise-intolerant quantum states: excess noise at the quantum level destroys the coherence of the states, rendering Classical Error Correction or amplifier-based schemes1 useless for quantum communication. Only quantum Error Correction2,3 can remove the effects of noise without corrupting the fragile superpositions of quantum states. But difficulties arise in the practical implementation of such a Correction process because nonlinear operations4 have been thought to be required, greatly reducing the efficiency of any optical scheme. Here I report an efficient, compact scheme involving only linear optical elements and feedback, which performs Error Correction for both quantum and Classical noise. In the Classical case, the noise penalty incurred is no worse than for ideal amplification. But for low-noise quantum optical communication, this penalty may be eliminated entirely. This quantum Error-Correction scheme may thus find application in quantum cryptographic networks5,6,7 (where low noise is equivalent to high security), possibly extending their range far beyond limits imposed by system losses7.
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quantum Error Correction of dephasing in 3 qubits
arXiv: Quantum Physics, 1996Co-Authors: Samuel L BraunsteinAbstract:We show how to perform Error Correction of single qubit dephasing by encoding a single qubit into a minimum of three. This may be performed in a manner closely analogous to Classical Error Correction schemes. Further, the resulting quantum Error Correction schemes are trivially generalized to the minimal encoding of arbitrarily many qubits so as to allow for multiqubit dephasing Correction under the sole condition that the environment acts independently on each qubit.
Lajos Hanzo - One of the best experts on this subject based on the ideXlab platform.
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Duality of Quantum and Classical Error Correction Codes: Design Principles and Examples
IEEE Communications Surveys & Tutorials, 2019Co-Authors: Zunaira Babar, Daryus Chandra, Hung Viet Nguyen, Panagiotis Botsinis, Dimitrios Alanis, Lajos HanzoAbstract:Quantum Error Correction codes (QECCs) can be constructed from the known Classical coding paradigm by exploiting the inherent isomorphism between the Classical and quantum regimes, while also addressing the challenges imposed by the strange laws of quantum physics. In this spirit, this paper provides deep insights into the duality of quantum and Classical coding theory, hence aiming for bridging the gap between them. Explicitly, we survey the rich history of both Classical as well as quantum codes. We then provide a comprehensive slow-paced tutorial for constructing stabilizer-based QECCs from arbitrary binary as well as quaternary codes, as exemplified by the dual-containing and non-dual-containing Calderbank–Shor–Steane (CSS) codes, non-CSS codes and entanglement-assisted codes. Finally, we apply our discussions to two popular code families, namely to the family of Bose–Chaudhuri–Hocquenghem as well as of convolutional codes and provide detailed design examples for both their Classical as well as their quantum versions.
Zunaira Babar - One of the best experts on this subject based on the ideXlab platform.
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Duality of Quantum and Classical Error Correction Codes: Design Principles and Examples
IEEE Communications Surveys & Tutorials, 2019Co-Authors: Zunaira Babar, Daryus Chandra, Hung Viet Nguyen, Panagiotis Botsinis, Dimitrios Alanis, Lajos HanzoAbstract:Quantum Error Correction codes (QECCs) can be constructed from the known Classical coding paradigm by exploiting the inherent isomorphism between the Classical and quantum regimes, while also addressing the challenges imposed by the strange laws of quantum physics. In this spirit, this paper provides deep insights into the duality of quantum and Classical coding theory, hence aiming for bridging the gap between them. Explicitly, we survey the rich history of both Classical as well as quantum codes. We then provide a comprehensive slow-paced tutorial for constructing stabilizer-based QECCs from arbitrary binary as well as quaternary codes, as exemplified by the dual-containing and non-dual-containing Calderbank–Shor–Steane (CSS) codes, non-CSS codes and entanglement-assisted codes. Finally, we apply our discussions to two popular code families, namely to the family of Bose–Chaudhuri–Hocquenghem as well as of convolutional codes and provide detailed design examples for both their Classical as well as their quantum versions.
William K Wootters - One of the best experts on this subject based on the ideXlab platform.
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protecting information from Classical Error Correction to quantum cryptography
2006Co-Authors: Susan Loepp, William K WoottersAbstract:For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to Error Correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.Of particular interest are the potential impacts of quantum physics:(i) a quantum computer, if built, could crack our currently used public-key cryptosystems; and (ii) quantum cryptography promises to provide an alternative to these cryptosystems, basing its security on the laws of nature rather than on computational complexity. No prior knowledge of quantum mechanics is assumed, but students should have a basic knowledge of complex numbers, vectors, and matrices.
Howard E Brandt - One of the best experts on this subject based on the ideXlab platform.
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review of protecting information from Classical Error Correction to quantum cryptography by susan loepp and william k wootters
Cryptologia, 2009Co-Authors: Howard E BrandtAbstract:This is a masterful pedagogical work on coding and cryptography—including an introduction to the burgeoning fields of quantum cryptography and quantum computation—for undergraduates in mathematics,...