Semidefinite programming in quantum information science. ([2023])

• Record Type: Book
• Further Information: Note: Paul Skrzypczyk, Daniel Cavalcanti.
• Authors: Skrzypczyk, Paul; Cavalcanti, Daniel
• Other Names: Institute of Physics (Great Britain), publisher.
• Contents: Part 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 2. 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 Part 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 4. 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 5. 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 6. 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 7. Quantum channels -- 7.1. The Choi-Jamiołkowski 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.
• Publisher Details: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing
• Publication Date: 2023
• Extent: 1 online resource (1 PDF (various pagings) :), illustrations (some color)
• Subjects: 530.1/2/02855369; Quantum theory -- Data processing; Semidefinite programming; Quantum physics (quantum mechanics & quantum field theory); SCIENCE / Physics / Quantum Theory
• Languages: English
• ISBNs: 9780750333436; 9780750333429; 0750333421
• Related ISBNs: 075033343X; 9780750333412; 9780750333443
• Notes: Note: Includes bibliographical references.; Note: Title from PDF title page (viewed on March 31, 2023).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.