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The Theory of Quantum Information
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  • Cited by 26
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Hung, Shih-Han Hietala, Kesha Zhu, Shaopeng Ying, Mingsheng Hicks, Michael and Wu, Xiaodi 2019. Quantitative robustness analysis of quantum programs. Proceedings of the ACM on Programming Languages, Vol. 3, Issue. POPL, p. 1.

    Dirkse, Bas Helsen, Jonas and Wehner, Stephanie 2019. Efficient unitarity randomized benchmarking of few-qubit Clifford gates. Physical Review A, Vol. 99, Issue. 1,

    Rastegin, Alexey E 2018. Coherence quantifiers from the viewpoint of their decreases in the measurement process. Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue. 41, p. 414011.

    Bab Hadiashar, Shima Nayak, Ashwin and Renner, Renato 2018. Communication Complexity of One-Shot Remote State Preparation. IEEE Transactions on Information Theory, Vol. 64, Issue. 7, p. 4709.

    Papanastasiou, Panagiotis Lupo, Cosmo Weedbrook, Christian and Pirandola, Stefano 2018. Quantum key distribution with phase-encoded coherent states: Asymptotic security analysis in thermal-loss channels. Physical Review A, Vol. 98, Issue. 1,

    Холево, Александр Семенович and Holevo, Alexander Semenovich 2018. Математические основы квантовой информатики. Лекционные курсы НОЦ, Vol. 30, Issue. , p. 3.

    Su, Yuan and Watrous, John 2018. Time-reversal of rank-one quantum strategy functions. Quantum, Vol. 2, Issue. , p. 98.

    Leditzky, Felix Datta, Nilanjana and Smith, Graeme 2018. Useful States and Entanglement Distillation. IEEE Transactions on Information Theory, Vol. 64, Issue. 7, p. 4689.

    Puchała, Zbigniew Pawela, Łukasz Krawiec, Aleksandra and Kukulski, Ryszard 2018. Strategies for optimal single-shot discrimination of quantum measurements. Physical Review A, Vol. 98, Issue. 4,

    Wilde, Mark M. 2018. Entanglement cost and quantum channel simulation. Physical Review A, Vol. 98, Issue. 4,

    McKay, Emma Rodríguez-Briones, Nayeli A. and Martín-Martínez, Eduardo 2018. Fluctuations of work cost in optimal generation of correlations. Physical Review E, Vol. 98, Issue. 3,

    Harris, Samuel J. Levene, Rupert H. Paulsen, Vern I. Plosker, Sarah and Rahaman, Mizanur 2018. Schur multipliers and mixed unitary maps. Journal of Mathematical Physics, Vol. 59, Issue. 11, p. 112201.

    Pereira, Jason and Pirandola, Stefano 2018. Hacking Alice's box in continuous-variable quantum key distribution. Physical Review A, Vol. 98, Issue. 6,

    Rahaman, Mizanur Jaques, Samuel and Paulsen, Vern I. 2018. Eventually entanglement breaking maps. Journal of Mathematical Physics, Vol. 59, Issue. 6, p. 062201.

    Rastegin, Alexey E. 2018. Degradation of Grover’s search under collective phase flips in queries to the oracle. Frontiers of Physics, Vol. 13, Issue. 5,

    Bluhm, Andreas and Nechita, Ion 2018. Joint measurability of quantum effects and the matrix diamond. Journal of Mathematical Physics, Vol. 59, Issue. 11, p. 112202.

    Hickey, Alexander and Gour, Gilad 2018. Quantifying the imaginarity of quantum mechanics. Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue. 41, p. 414009.

    Rastegin, Alexey E. 2018. On the role of dealing with quantum coherence in amplitude amplification. Quantum Information Processing, Vol. 17, Issue. 7,

    Lipinska, Victoria Murta, Gláucia and Wehner, Stephanie 2018. Anonymous transmission in a noisy quantum network using the W state. Physical Review A, Vol. 98, Issue. 5,

    Gawron, Piotr Kurzyk, Dariusz Pawela, Łukasz and Chancellor, Nicholas 2018. QuantumInformation.jl—A Julia package for numerical computation in quantum information theory. PLOS ONE, Vol. 13, Issue. 12, p. e0209358.


Book description

This largely self-contained book on the theory of quantum information focuses on precise mathematical formulations and proofs of fundamental facts that form the foundation of the subject. It is intended for graduate students and researchers in mathematics, computer science, and theoretical physics seeking to develop a thorough understanding of key results, proof techniques, and methodologies that are relevant to a wide range of research topics within the theory of quantum information and computation. The book is accessible to readers with an understanding of basic mathematics, including linear algebra, mathematical analysis, and probability theory. An introductory chapter summarizes these necessary mathematical prerequisites, and starting from this foundation, the book includes clear and complete proofs of all results it presents. Each subsequent chapter includes challenging exercises intended to help readers to develop their own skills for discovering proofs concerning the theory of quantum information.

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