Multimode quantum entropy power inequality
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The quantum version of the fundamental entropic data processing inequality is presented in this paper, which establishes a lower bound for the entropy that can be generated in the output channels of a scattering process, which involves a collection of independent input bosonic modes.Abstract:
The quantum version of a fundamental entropic data-processing inequality is presented. It establishes a lower bound for the entropy that can be generated in the output channels of a scattering process, which involves a collection of independent input bosonic modes (e.g., the modes of the electromagnetic field). The impact of this inequality in quantum information theory is potentially large and some relevant implications are considered in this work.read more
Citations
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Entanglement production in bosonic systems: Linear and logarithmic growth
TL;DR: In this article, the authors studied the time evolution of entanglement entropy in bosonic systems with time-independent, or time-periodic, Hamiltonians and showed that all quadratic Hamiltonians can be decomposed into three parts: (a) unstable, (b) stable, and (c) metastable.
Journal ArticleDOI
Energy-constrained private and quantum capacities of quantum channels
Mark M. Wilde,Haoyu Qi +1 more
TL;DR: In this paper, a general theory of energy-constrained quantum and private capacities of quantum channels was established, including quantum communication with a uniform energy constraint and secret key transmission with an average energy constraint.
Journal ArticleDOI
Gaussian States Minimize the Output Entropy of One-Mode Quantum Gaussian Channels.
TL;DR: This work proves the long-standing conjecture stating that Gaussian thermal input states minimize the output von Neumann entropy of one-mode phase-covariant quantum Gaussian channels among all the input states with a given entropy.
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Passive States Optimize the Output of Bosonic Gaussian Quantum Channels
TL;DR: In this paper, an ordering between the quantum states emerging from a singlemode gauge-covariant bosonic Gaussian channel is proved, which implies that the output associated to the vacuum majorizes all the other outputs emerging from the same set.
Journal ArticleDOI
Passive states optimize the output of bosonic Gaussian quantum channels
TL;DR: An ordering between the quantum states emerging from a single-mode gauge-covariant bosonic Gaussian channel is proved and it is shown that within the set of input density matrices with the same given spectrum, the element passive with respect to the Fock basis produces an output, which majorizes all the other outputs emerging from the same set.
References
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Journal ArticleDOI
A mathematical theory of communication
TL;DR: This final installment of the paper considers the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now.
Book
Elements of information theory
Thomas M. Cover,Joy A. Thomas +1 more
TL;DR: The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
Journal ArticleDOI
Gaussian quantum information
Christian Weedbrook,Stefano Pirandola,Raúl García-Patrón,Nicolas J. Cerf,Timothy C. Ralph,Jeffrey H. Shapiro,Seth Lloyd +6 more
TL;DR: This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination.
Gaussian quantum information
Christian Weedbrook,Stefano Pirandola,Raúl García-Patrón,Nicolas J. Cerf,Timothy C. Ralph,Jeffrey H. Shapiro,Seth Lloyd +6 more
TL;DR: In this article, a review of the state of the art in continuous-variable quantum information processing can be found, ranging from the basic theoretical tools and landmark experimental realizations to the most recent successful developments.