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Home > Art, Film & Photography > Quantum Mechanical Entropy: Entanglement Distillation, Von Neumann Entropy, Hirschman Uncertainty, Quantum Relative Entropy
Quantum Mechanical Entropy: Entanglement Distillation, Von Neumann Entropy, Hirschman Uncertainty, Quantum Relative Entropy

Quantum Mechanical Entropy: Entanglement Distillation, Von Neumann Entropy, Hirschman Uncertainty, Quantum Relative Entropy


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About the Book

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Entanglement Distillation, Von Neumann Entropy, Hirschman Uncertainty, Quantum Relative Entropy, Quantum Statistical Mechanics, Joint Quantum Entropy, Quantum Mutual Information, Conditional Quantum Entropy, Coherent Information, Holevo's Theorem. Excerpt: The coherent information is an entropy measure used in quantum information theory . It is a property of a quantum state and a quantum channel; intuitively, it attempts to describe how much of the quantum information in the state will remain after the state goes through the channel. In this sense, it is intuitively similar to the mutual information of classical information theory . The coherent information is written . Definition The coherent information is defined as where is the von Neumann entropy of the output and is the entropy exchange between the state and the channel. History The coherent information was introduced by Benjamin Schumacher and Michael A. Nielsen in a 1996 paper Quantum data processing and error correction, which appeared in Physical Review A . References (URLs online) A hyperlinked version of this chapter is at The conditional quantum entropy is an entropy measure used in quantum information theory . It is a generalization of the conditional entropy of classical information theory . The conditional entropy is written S ( ] ), or H ( ] ), depending on the notation being used for the von Neumann entropy . For the remainder of the article, we use the notation S ( ) for the von Neumann entropy. Definition Given two quantum states and, the von Neumann entropies are S ( ) and S ( ). The von Neumann entropy measures how uncertain we are about the value of the state; how much the state is a mixed state . The joint quantum entropy S (, ) measures our uncertainty about the joint system which contains both stat...


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Product Details
  • ISBN-13: 9781155254166
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Entanglement Distillation, Von Neumann Entropy, Hirschman Uncertainty, Quantum Relative Entropy
  • Width: 229 mm
  • ISBN-10: 1155254163
  • Publisher Date: 02 May 2010
  • Binding: Paperback
  • Spine Width: 3 mm
  • Weight: 91 gr


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Quantum Mechanical Entropy: Entanglement Distillation, Von Neumann Entropy, Hirschman Uncertainty, Quantum Relative Entropy
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