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020 _a9780750333436
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020 _a9780750333429
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020 _z9780750333412
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020 _z9780750333443
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024 7 _a10.1088/978-0-7503-3343-6
_2doi
035 _a(CaBNVSL)thg00083591
035 _a(OCoLC)1374849984
040 _aCaBNVSL
_beng
_erda
_cCaBNVSL
_dCaBNVSL
050 4 _aQC174.17.D37
_bS477 2023eb
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
100 1 _aSkrzypczyk, Paul,
_eauthor.
_996444
245 1 0 _aSemidefinite programming in quantum information science /
_cPaul Skrzypczyk, Daniel Cavalcanti.
264 1 _aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
_bIOP Publishing,
_c[2023]
300 _a1 online resource (various pagings) :
_billustrations (some color).
336 _atext
_2rdacontent
337 _aelectronic
_2isbdmedia
338 _aonline resource
_2rdacarrier
490 1 _a[IOP release $release]
490 1 _aIOP series in quantum technology
490 1 _aIOP ebooks. [2023 collection]
500 _a"Version: 202303"--Title page verso.
504 _aIncludes bibliographical references.
505 0 _apart I. The fundamentals. 1. Linear programming -- 1.1. The basics -- 1.2. Geometric interpretation -- 1.3. Duality -- 1.4. Slack variables -- 1.5. Weak and strong duality -- 1.6. Concluding remarks -- 1.7. Advanced topics -- 1.8. Further reading
505 8 _a2. Semidefinite programming -- 2.1. Primal semidefinite programs -- 2.2. Duality -- 2.3. Weak and strong duality -- 2.4. Complementary slackness -- 2.5. Linear programs as special instances of semidefinite programs -- 2.6. Concluding remarks -- 2.7. Further reading
505 8 _apart II. Semidefinite programming in quantum information science. 3. Quantum states -- 3.1. Quantum state estimation -- 3.2. The quantum marginal problem -- 3.3. Concluding remarks -- 3.4. Further reading -- 3.5. Advanced topics
505 8 _a4. Quantum measurements -- 4.1. Quantum measurement estimation -- 4.2. Quantum state discrimination I -- 4.3. Quantum state discrimination II -- 4.4. Concluding remarks -- 4.5. Further reading -- 4.6. Advanced topics
505 8 _a5. Quantum entanglement -- 5.1. Entanglement of pure and mixed states -- 5.2. The positive-partial-transpose criterion -- 5.3. Entanglement negativity -- 5.4. Random robustness of entanglement and SDP relaxations -- 5.5. k-symmetric extensions -- 5.6. Concluding remarks -- 5.7. Further reading -- 5.8. Advanced topics
505 8 _a6. Measurement incompatibility -- 6.1. Joint measurability as an SDP -- 6.2. Two dichotomic measurements -- 6.3. Concluding remarks -- 6.4. Further reading -- 6.5. Advanced topics
505 8 _a7. Quantum channels -- 7.1. The Choi-Jamio±kowski isomorphism -- 7.2. Channel estimation -- 7.3. The diamond norm and channel discrimination -- 7.4. The conditional min-entropy and the singlet fidelity -- 7.5. Concluding remarks -- 7.6. Further reading -- 7.7. Advanced topics.
520 3 _aSemidefinite programs (SDPs) are a class of optimisation problems that find application in numerous areas of physics, engineering and mathematics. Semidefinite programming is particularly suited to problems in quantum physics and quantum information science. Following a review of the theory of semidefinite programming, the book proceeds to describe how it can be used to address a wide range of important problems from across quantum information science. Specific applications include quantum state, measurement, and channel estimation and discrimination, entanglement detection and quantification, quantum distance measures, and measurement incompatibility. Though SDPs have become an increasingly important tool in quantum information science it's not yet the kind of mathematics students learn routinely. Assuming only a basic knowledge of linear algebra and quantum physics and quantum information, this graduate-level book provides a unified and accessible presentation of one of the key numerical methods used in quantum information science. Whilst the focus is on the theoretical machinery of SDPs, the authors have provided an accompanying GitHub repository containing example code, covering some of the SDPs studied in this book. Part of IOP Series in Quantum Technology.
521 _aGraduate students and researchers in quantum information aiming at learning semi-definite programming.
530 _aAlso available in print.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
545 _aPaul Skrzypczyk is currently an Associate Professor and Royal Society University Research Fellow at the University of Bristol in the School of Physics. He obtained his PhD in Theoretical Physics from the University of Bristol in 2011, under the supervision of Professor Sandu Popescu, with his PhD studies focusing on quantum nonlocality and quantum thermodynamics. He carried out postdoctoral research at the University of Cambridge, and ICFO--The Institute for Photonic Sciences, before returning to Bristol in 2015. In 2016 he was awarded a Royal Society University Research Fellowship and became a lecturer in 2018 and an Associate Professor in 2022. Paul's research interest span many areas of quantum information and quantum foundations, ranging from quantum nonlocal effects, such as Bell nonlocality, quantum steering and quantum teleportation, to quantum measurements and measurement incompatibility, to quantum thermodynamics. Convex geometry, semidefinite programming and convex optimisation have been the primary mathematical tools used in his research over the years. Daniel Cavalcanti is currently a senior researcher at Algorithmiq Ltd. He obtained a PhD in Theoretical Physics at ICFO--Institute of Photonic Sciences in 2008 on the topics of entanglement and characterisation of quantum correlations. After a short postdoc at ICFO in 2009, he joined the Centre for Quantum Technology (Singapore) in 2010, first as a postdoc in Professor Valerio Scarani's group, and soon as an independent researcher. In 2013 he returned to ICFO, where he stayed until 2021 on a Ram�on y Cajal grant. Daniel's research has focused on quantum foundations, quantum correlations, quantum communication and, more recently, quantum computation. Daniel also holds a master's degree in graphic design and runs Bitflow, a graphic design studio dedicated to science and technology-related projects.
588 0 _aTitle from PDF title page (viewed on March 31, 2023).
650 0 _aQuantum theory
_xData processing.
_996445
650 0 _aSemidefinite programming.
_996446
650 7 _aQuantum physics (quantum mechanics & quantum field theory)
_2bicssc
_996447
650 7 _aSCIENCE / Physics / Quantum Theory.
_2bisacsh
_996448
700 1 _aCavalcanti, Daniel,
_eauthor.
_996449
710 2 _aInstitute of Physics (Great Britain),
_epublisher.
_917702
776 0 8 _iPrint version:
_z9780750333412
_z9780750333443
830 0 _aIOP (Series).
_pRelease 23.
_996450
830 0 _aIOP series in quantum technology.
_996451
830 0 _aIOP ebooks.
_p2023 collection.
_996452
856 4 0 _uhttps://iopscience.iop.org/book/mono/978-0-7503-3343-6
942 _cE-Books
999 _c68355
_d68355