rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Negative quantum channels
    sub title: an introduction to quantum maps that are not completely positive
  title info:
    title: Synthesis digital library of engineering and computer science
  name:
    name part: McCracken, James M.
    role:
      role term: creator
    role:
      role term: author.
  type of resource: text
  genre: abstract or summary
  genre: Electronic books.
  origin info:
    place:
      place term: cau
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xv, 171 pages) : illustrations.
  abstract: This book is a brief introduction to negative quantum channels, i.e., linear, trace-preserving (and consistent) quantum maps that are not completely positive. The flat and sharp operators are introduced and explained. Complete positivity is presented as a mathematical property, but it is argued that complete positivity is not a physical requirement of all quantum operations. Negativity, a measure of the lack of complete positivity, is proposed as a tool for empirically testing complete positivity assumptions.
  table of contents: 1. Introduction and definition of terms -- 1.1 Motivation -- 1.2 Open systems -- 1.3 Density matrix -- 1.4 Mathematical structure of open systems -- 1.4.1 System state spaces -- 1.4.2 Partial trace -- 1.4.3 Assignments of subsystem states -- 1.4.4 Reduced system dynamics -- 1.5 "Vector of states" notation --
  table of contents: 10. Physical motivations for sharp operations --
  table of contents: 11. Negative qubit channel examples with multi-qubit baths --
  table of contents: 12. Proposed experimental demonstration of negativity -- 12.1 Photonic root-swap operation -- 12.2 Photonic CZ operation --
  table of contents: 13. Implications of negative channels -- 13.1 Existing experimental evidence of negative channels -- 13.2 Restrictions implied by complete positivity -- 13.3 Expanding the definition of "physically reasonable" --
  table of contents: 14. Uses for negative channels -- 14.1 Probing the bath -- 14.1.1 Coupling alone -- 14.1.2 Correlation alone -- 14.1.3 Coupling and correlation together -- 14.1.4 Determining the completely positive parameter space -- 14.2 Speculation on utilities --
  table of contents: 15. Conclusions -- 15.1 Complete positivity in recent years -- 15.2 Closing remarks --
  table of contents: 2. Tomography --
  table of contents: 3. Non-positive reduced dynamics -- 3.1 Two qubit SWAP example -- 3.2 Positivity domains interpretation --
  table of contents: 4. Complete positivity -- 4.1 Complete positivity definition -- 4.2 Reduced system evolution as an operator sum --
  table of contents: 5. Physical motivation of complete positivity -- 5.1 Total domain argument -- 5.2 Product state argument --
  table of contents: 6. Measures of complete positivity -- 6.1 Local unitary composite evolution -- 6.2 Product composite states -- 6.3 Zero discord initial composite states -- 6.4 Completely positive reduced dynamics without a special form -- 6.5 Choi's matrix -- 6.6 Negativity --
  table of contents: 7. Negative channels -- 7.1 Definitions -- 7.2 Sharp operations for negative channels --
  table of contents: 8. Negative climates with diagonal composite dynamics -- 8.1 Specific negative channel example -- 8.2 Basis dependence --
  table of contents: 9. Rabi channels -- 9.1 Rabi model -- 9.2 Rabi channels with no coupling -- 9.3 Rabi channels with coupling --
  table of contents: A. Discussions -- Discussion of the reduced system definition -- General reduced system dynamics -- General form of initial reduced system state -- Completeness relation for SQO -- Rabi model derivation -- Bibliography -- Author's biography.
  target audience: specialized
  note: James M. McCracken.
  note: Series from website.
  note: Abstract freely available; full-text restricted to subscribers or individual document purchasers.
  note: Also available in print.
  note: Mode of access: World Wide Web.
  note: System requirements: Adobe Acrobat Reader.
  note: Includes bibliographical references (pages 161-169).
  subject:
    topic: Quantum computers
  subject:
    topic: Quantum maps
  subject:
    topic: complete positivity
  subject:
    topic: open quantum systems
  subject:
    topic: quantum channels
  subject:
    topic: quantum information
  subject:
    topic: quantum process tomography
  classification: QC174.17.Q35 M335 2014
  classification: 530.12
  related item:
    title info:
      title: Synthesis lectures on quantum computing ; # 7
  identifier: 9781627051859
  identifier: 9781627051842
  identifier: http://proxy.library.tamu.edu/login
  access condition: Abstract freely available; full-text restricted to subscribers or individual document purchasers.
  record info:
    record content source: CaBNVSL
    record creation date: 140721
    record change date: 20210304154937.0
    record identifier: in00003762133
    language of cataloging:
      language term: eng