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A SUFFICIENT AND NECESSARY CONDITION FOR superdense coding OF QUANTUM STATES

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION 2008年第5期6卷 1115-1125页

作者： Qiu, Daowen Zhongshan Univ Dept Comp Sci Guangzhou 510275 Guangdong Peoples R China

Recently, Harrow et al. [Phys. Rev. Lett. 92 ( 2004) 187901] gave a method for preparing an arbitrary quantum state with high success probability by physically transmitting some qubits, and by consuming a maximally entangled state, together with exhausting some shared random bits. In this paper, we discover that some states are impossible to be perfectly prepared by Alice and Bob initially sharing some entangled states. In particular, we present a sufficient and necessary condition for the states being enabled to be exactly prepared with probability equal to unity, in terms of the initial entangled states (maybe nonmaximally). In contrast, if the initially shared entanglement is maximal, then the probabilities for preparing these quantum states are smaller than unity. Furthermore, the lower bound on the probability for preparing some states are derived.

关键词： superdense coding entanglement communication

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ENTANGLEMENT AND superdense coding WITH LINEAR OPTICS

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INTERNATIONAL JOURNAL OF QUANTUM INFORMATION 2011年第7-8期9卷 1737-1744页

作者： Pavicic, Mladen Univ Zagreb Fac Civil Engn Chair Phys Zagreb 41000 Croatia

We discuss a scheme for a full superdense coding of entangled photon states employing only linear optics elements. By using the mixed basis consisting of four states that are unambiguously distinguishable by a standard and polarizing beam splitters we can deterministically transfer four messages by manipulating just one of the two entangled photons. The sender achieves the determinism of the transfer either by giving up the control over 50% of sent messages (although known to her) or by discarding 33% of incoming photons.

关键词： superdense coding quantum communication Bell states mixed basis

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Extension and Analysis of Modified superdense-coding in Multi-User Environment 19

Extension and Analysis of Modified Superdense-Coding in Mult...

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19th IEEE International Conference on Intelligent Engineering Systems (INES)

作者： Berces, Marton Imre, Sandor Budapest Univ Technol & Econ Dept Networked Syst & Serv Budapest Hungary

Modified superdense coding for quantum systems was introduced for two communicating parties. In this paper the algorithm is extended to n parties. Beside the generalization, an analytical approach is also presented to... 详细信息

ISBN: (纸本)9781467379397

关键词： superdense coding qubit quantum systems modified superdense coding slotted ALOHA

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Quantum information processing through a genuine five-qubit entangled state in cavity QED

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QUANTUM INFORMATION PROCESSING 2010年第5期9卷 643-662页

作者： Qiu, Liang China Univ Min & Technol Dept Phys Xuzhou 221116 Peoples R China

The utility of a five-qubit entangled state for quantum teleportation, quantum state sharing and superdense coding is investigated. The state can be utilized for perfect teleportation and quantum state sharing of an arbitrary single- and two-qubit state. The capacity of superdense coding of the state reaches the "Holevo bound", which means that five classical bits can be transmitted by sending three qubits. The preparation of the five-qubit state and detection of the multipartite states in cavity QED are discussed. The distinct advantage of the feasible cavity QED technology that we use is insensitive to the thermal field and the cavity decay.

关键词： Five-qubit entangled state Quantum teleportation Quantum state sharing superdense coding

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Near-Capacity Code Design for Entanglement-Assisted Classical Communication over Quantum Depolarizing Channels

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IEEE TRANSACTIONS ON COMMUNICATIONS 2013年第12期61卷 4801-4807页

作者： Babar, Zunaira Ng, Soon Xin Hanzo, Lajos Univ Southampton Sch Elect & Comp Sci Commun Signal Proc & Control Grp Southampton SO17 1BJ Hants England Univ Southampton Sch Elect & Comp Sci Southampton SO17 1BJ Hants England

We have conceived a near-capacity code design for entanglement-assisted classical communication over the quantum depolarizing channel. The proposed system relies on efficient near-capacity classical code designs for approaching the entanglement-assisted classical capacity of a quantum depolarizing channel. It incorporates an Irregular Convolutional Code (IRCC), a Unity Rate Code (URC) and a soft-decision aided superdense Code (SD), which is hence referred to as an IRCC-URC-SD arrangement. Furthermore, the entanglement-assisted classical capacity of an N-qubit superdense code transmitted over a depolarizing channel is invoked for benchmarking. It is demonstrated that the proposed system operates within 0.4 dB of the achievable noise limit for both 2-qubit as well as 3-qubit SD schemes. More specifically, our design exhibits a deviation of only 0.062 and 0.031 classical bits per channel use from the corresponding 2-qubit and 3-qubit capacity limits, respectively. The proposed system is also benchmarked against the classical convolutional and turbo codes.

关键词： Entanglement-assisted classical communication superdense coding irregular convolutional codes EXIT charts near-capacity design

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Limits on the ability of quantum states to convey classical messages

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JOURNAL OF THE ACM 2006年第1期53卷 184-206页

作者： Nayak, A Salzman, J Univ Waterloo Dept Combinator & Optimizat Waterloo ON N2L 3G1 Canada Perimeter Inst Theoret Phys Waterloo ON Canada Stanford Univ Dept Stat Stanford CA 94305 USA

We revisit the problem of conveying classical messages by transmitting quantum states, and derive new, optimal bounds on the number of quantum bits required for this task. Much of the previous work on this problem, and on other communication tasks in the setting of bounded error entanglement-assisted communication, is based on sophisticated information theoretic arguments. Our results are derived from first principles, using a simple linear algebraic technique. A direct consequence is a tight lower bound for the Inner Product function that has found applications to privacy amplification in quantum key distribution protocols.

关键词： theory communication complexity entanglement-assisted quantum channel Holevo bound information theory Inner Product function lower bounds privacy amplification quantum communication shared entanglement superdense coding

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Entanglement-Assisted Classical Communication Over Quantum Channels for Binary Markov Sources

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IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY 2018年第5期67卷 3866-3873页

作者： Izhar, Mohd Azri Mohd Babar, Zunaira Ng, Soon Xin Hanzo, Lajos Univ Teknol Malaysia Wireless Commun Ctr Kuala Lumpur 54100 Malaysia Univ Teknol Malaysia Ubiquitous Broadband Access Network Grp UTM Razak Sch Engn & Adv Technol Kuala Lumpur 54100 Malaysia Univ Southampton Sch Elect & Comp Sci Southampton SO17 1BJ Hants England

Symbol-based iterative decoding is proposed for the transmission of classical Markov source signals over a quantum channel using a three-stage serial concatenation of a convolutional code (CC), a unity-rate code and a two-qubit superdense (SD) protocol. A modified symbol-based maximum a posteriori algorithm is employed for CC decoding to exploit the Markov source statistics during the iterative decoding process. Extrinsic information transfer chart analysis is performed to evaluate the benefit of the extrinsic mutual information gleaned from the CC decoder for sources with different correlations. We evaluate the bit error rate performance of the proposed coding scheme and compare it with the relevant benchmark schemes, including the turbo coding-based SD scheme. We demonstrate that a near-capacity performance can be achieved using the proposed scheme and when utilizing sources having a high correlation coefficient of rho = 0.9, the proposed coding scheme performs within 0.53 dB from the entanglement-assisted classical capacity.

关键词： Entanglement-assisted classical communication iterative decoding joint source-channel coding source-assisted channel decoding superdense coding

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Teleporting digital images

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OPTICAL AND QUANTUM ELECTRONICS 2023年第6期55卷 1-33页

作者： Mastriani, Mario Florida Int Univ Knight Fdn Sch Comp & Informat Sci 11200 SW 8th St Miami FL 33199 USA

During the last 30 years the scientific community has coexisted with the most fascinating protocol due to Quantum Physics: quantum teleportation, which would have been impossible if quantum entanglement, so questioned by Einstein, did not exist. In this work, a complete architecture for the teleportation of Computational Basis States (CBS) is presented. Such CBS will represent each of the possible 24 classical bits commonly used to encode every pixel of a 3-color-channel image (red-green-blue, or cyan-yellow-magenta). For this purpose, a couple of interfaces: classical-to-quantum and quantum-to-classical are presented with two versions of the teleportation protocol: standard and simplified.

关键词： Interfaces Quantum communications Quantum entanglement Quantum teleportation superdense coding

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Quantum teleportation scheme using entangled two ququads and its noise effects

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QUANTUM INFORMATION PROCESSING 2024年第5期23卷 192-192页

作者： Randeep, N. C. Anukrishna, C. Raj, A. K. Neha Govt Arts & Sci Coll Dept Phys Calicut 673018 Kerala India SARBTM Govt Coll Dept Phys Koyilandy 673307 Kerala India AVAH Arts & Sci Coll Dept Phys Kozhikode 673523 Kerala India

We present a quantum teleportation scheme for single qubits, qutrits, and ququads using maximally entangled pairs of two ququads. Additionally, we demonstrate that, under a specific mapping, single ququad teleportation is equivalent to two-qubit teleportation using generalized Bell states. Furthermore, we establish a dense (superdense) coding scheme for sending four bits of classical information using a single ququad state. We also investigate the efficiency of the single ququad quantum teleportation scheme by studying the fidelity of teleportation when subjected to noise, such as amplitude damping, depolarizing channel, phase damping, and bit flip. Finally, we investigate noise effects in two qubit teleportation and compare its results with the ququad case. We observe that in both cases, adding more noise increases the fidelity of teleportation. Additionally, we show that qubit teleportation is more resilient to noise than ququad teleportation.

关键词： Quantum entanglement Quantum teleportation superdense coding Ququad Quantum noise Fidelity

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Quantum Private Comparison: A Review

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IETE TECHNICAL REVIEW 2013年第5期30卷 439-445页

作者： Liu, Wenjie Liu, Chao Wang, Haibin Jia, Tingting Nanjing Univ Informat Sci & Technol Jiangsu Engn Ctr Network Monitoring Nanjing Jiangsu Peoples R China Nanjing Univ Informat Sci & Technol Sch Comp & Software Nanjing Jiangsu Peoples R China

As an important branch of quantum secure multiparty computation, quantum private comparison (QPC) has attracted more and more attention recently. In this paper, according to the quantum implementation mechanism that these protocols used, we divide these protocols into three categories: The quantum cryptography QPC, the superdense coding QPC, and the entanglement swapping QPC. And then, a more in-depth analysis on the research progress, design idea, and substantive characteristics of corresponding QPC categories is carried out, respectively. Finally, the applications of QPC and quantum secure multi-party computation issues are discussed and, in addition, three possible research mainstream directions are pointed out.

关键词： Entanglement swapping Quantum cryptography Quantum private comparison Quantum secure multi-party computation superdense coding

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