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Coding theory and quantum computing : an International Conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia / / David Evans [and six others], editors
| Coding theory and quantum computing : an International Conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia / / David Evans [and six others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (166 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum theory - Mathematics
Coding theory - Mathematics Quantum computers - Mathematics Cryptography - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7971-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""4. The Algorithm for Finding Integer Periods""""5. The Observable O""; ""6. The Algorithm for Finding Rational Periods""; ""7. Finding Irrational Periods""; ""8. Conclusion""; ""9. Appendix: Number-Theoretic Probabilities""; ""References""; ""Entangled states of light""; ""Entanglement beyond subsystems""; ""Generalized GHZ states and distributed quantum computing"" |
| Record Nr. | UNINA-9910480350603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Coding theory and quantum computing : an International Conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia / / David Evans [and six others], editors
| Coding theory and quantum computing : an International Conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia / / David Evans [and six others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (166 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum theory - Mathematics
Coding theory - Mathematics Quantum computers - Mathematics Cryptography - Mathematics |
| ISBN | 0-8218-7971-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""4. The Algorithm for Finding Integer Periods""""5. The Observable O""; ""6. The Algorithm for Finding Rational Periods""; ""7. Finding Irrational Periods""; ""8. Conclusion""; ""9. Appendix: Number-Theoretic Probabilities""; ""References""; ""Entangled states of light""; ""Entanglement beyond subsystems""; ""Generalized GHZ states and distributed quantum computing"" |
| Record Nr. | UNINA-9910788660503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Coding theory and quantum computing : an International Conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia / / David Evans [and six others], editors
| Coding theory and quantum computing : an International Conference on Coding Theory and Quantum Computing, May 20-24, 2003, University of Virginia / / David Evans [and six others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (166 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum theory - Mathematics
Coding theory - Mathematics Quantum computers - Mathematics Cryptography - Mathematics |
| ISBN | 0-8218-7971-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""4. The Algorithm for Finding Integer Periods""""5. The Observable O""; ""6. The Algorithm for Finding Rational Periods""; ""7. Finding Irrational Periods""; ""8. Conclusion""; ""9. Appendix: Number-Theoretic Probabilities""; ""References""; ""Entangled states of light""; ""Entanglement beyond subsystems""; ""Generalized GHZ states and distributed quantum computing"" |
| Record Nr. | UNINA-9910822899503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical aspects of quantum computing 2007 [[electronic resource] /] / editors, Mikio Nakahara, Robabeh Rahimi, Akira SaiToh
| Mathematical aspects of quantum computing 2007 [[electronic resource] /] / editors, Mikio Nakahara, Robabeh Rahimi, Akira SaiToh |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (240 p.) |
| Disciplina |
004.0151
004.1 |
| Altri autori (Persone) |
NakaharaMikio
RahimiRobabeh SaiTohAkira |
| Collana | Kinki University series on quantum computing |
| Soggetto topico |
Quantum computers
Quantum computers - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-96813-7
9786611968137 981-281-448-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; LIST OF PARTICIPANTS; Quantum Computing: An Overview M. Nakahara; 1. Introduction; 2. Quantum Physics; 2.1. Notation and conventions; 2.2. Axioms of quantum mechanics; 2.3. Simple example; 2.4. Multipartite system, tensor product and entangled state; 2.5. Mixed states and density matrices; 2.6. Negativity; 2.7. Partial trace and purification; 3. Qubits; 3.1. One qubit; 3.2. Bloch sphere; 3.3. Multi-qubit systems and entangled states; 4. Quantum Gates, Quantum Circuit and Quantum Computation; 4.1. Introduction; 4.2. Quantum gates; 4.2.1. Simple quantum gates
4.2.2. Walsh-Hadamard transformation 4.2.3. SWAP gate and Fredkin gate; 4.3. No-cloning theorem; 4.4. Quantum teleportation; 4.5. Universal quantum gates; 4.6. Quantum parallelism and entanglement; 5. Simple Quantum Algorithms; 5.1. Deutsch algorithm; 5.2. Deutsch-Jozsa algorithm; 6. Decoherence; 6.1. Open quantum system; 6.1.1. Quantum operations and Kraus operators; 6.1.2. Operator-sum representation and noisy quantum channel; 6.1.3. Completely positive maps; 6.2. Measurements as quantum operations; 6.2.1. Projective measurements; 6.2.2. POVM; 6.3. Examples; 6.3.1. Bit- flip channel 6.3.2. Phase-flip channel 7. Quantum Error Correcting Codes; 7.1. Introduction; 7.2. Three-qubit bit-flip code: the simplest example; 7.2.1. Bit-flip QECC; 7.2.2. Encoding; 7.2.3. Transmission; 7.2.4. Error syndrome dectection and correction; 7.2.5. Decoding; 7.2.6. Miracle of entanglement; 7.2.7. Continuous rotations; 8. DiVincenzo Criteria; 8.1. DiVincenzo criteria; 8.2. Physical realizations; Acknowledgements; References; Braid Group and Topological Quantum Computing T. Ootsuka, K. Sakuma; 1. Introduction; 2. Braid Groups; 3. Knots Defined by Braids; 4. Topological Quantum Computing 5. Anyon Model6. Fibonacci Anyons; Appendix A. Fundamental group; References; An Introduction to Entanglement Theory D. J. H. Markham; 1. Introduction; 2. Quantum Mechanics and State Space; 2.1. State space; 2.2. Evolution; 2.3. POVMs, projective measurement and observables; 2.4. Composite systems; 3. Entanglement and Separability; 4. Quantification of Entanglement; 4.1. Local operations and classical communication; 4.2. Entanglement measures; 4.3. Uniqueness of measures, order on states; 4.4. Measuring entanglement; 4.5. Multipartite entanglement; 5. Conclusions; References Holonomic Quantum Computing and Its Optimization S. Tanimura1. Introduction; 2. Holonomies in Mathematics and Physics; 2.1. Holonomy in Riemannian geometry; 2.2. Berry phase in quantum mechanics; 2.3. Wilczek-Zee holonomy in quantum mechanics; 2.4. Examples; 2.4.1. Berry phase; 2.4.2. Λ-type system; 3. Holonomic Quantum Computer; 4. Formulation of the Problem and its Solution; 4.1. Geometrical setting; 4.2. The isoholonomic problem; 4.3. The solution: horizontal extremal curve; 5. The Boundary-Value Problem; 5.1. Equivalence class; 5.2. U(1) holonomy; 5.3. U(k) holonomy 6. Examples of Unitary Gates |
| Record Nr. | UNINA-9910453195003321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical aspects of quantum computing 2007 [[electronic resource] /] / editors, Mikio Nakahara, Robabeh Rahimi, Akira SaiToh
| Mathematical aspects of quantum computing 2007 [[electronic resource] /] / editors, Mikio Nakahara, Robabeh Rahimi, Akira SaiToh |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (240 p.) |
| Disciplina |
004.0151
004.1 |
| Altri autori (Persone) |
NakaharaMikio
RahimiRobabeh SaiTohAkira |
| Collana | Kinki University series on quantum computing |
| Soggetto topico |
Quantum computers
Quantum computers - Mathematics |
| ISBN |
1-281-96813-7
9786611968137 981-281-448-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; LIST OF PARTICIPANTS; Quantum Computing: An Overview M. Nakahara; 1. Introduction; 2. Quantum Physics; 2.1. Notation and conventions; 2.2. Axioms of quantum mechanics; 2.3. Simple example; 2.4. Multipartite system, tensor product and entangled state; 2.5. Mixed states and density matrices; 2.6. Negativity; 2.7. Partial trace and purification; 3. Qubits; 3.1. One qubit; 3.2. Bloch sphere; 3.3. Multi-qubit systems and entangled states; 4. Quantum Gates, Quantum Circuit and Quantum Computation; 4.1. Introduction; 4.2. Quantum gates; 4.2.1. Simple quantum gates
4.2.2. Walsh-Hadamard transformation 4.2.3. SWAP gate and Fredkin gate; 4.3. No-cloning theorem; 4.4. Quantum teleportation; 4.5. Universal quantum gates; 4.6. Quantum parallelism and entanglement; 5. Simple Quantum Algorithms; 5.1. Deutsch algorithm; 5.2. Deutsch-Jozsa algorithm; 6. Decoherence; 6.1. Open quantum system; 6.1.1. Quantum operations and Kraus operators; 6.1.2. Operator-sum representation and noisy quantum channel; 6.1.3. Completely positive maps; 6.2. Measurements as quantum operations; 6.2.1. Projective measurements; 6.2.2. POVM; 6.3. Examples; 6.3.1. Bit- flip channel 6.3.2. Phase-flip channel 7. Quantum Error Correcting Codes; 7.1. Introduction; 7.2. Three-qubit bit-flip code: the simplest example; 7.2.1. Bit-flip QECC; 7.2.2. Encoding; 7.2.3. Transmission; 7.2.4. Error syndrome dectection and correction; 7.2.5. Decoding; 7.2.6. Miracle of entanglement; 7.2.7. Continuous rotations; 8. DiVincenzo Criteria; 8.1. DiVincenzo criteria; 8.2. Physical realizations; Acknowledgements; References; Braid Group and Topological Quantum Computing T. Ootsuka, K. Sakuma; 1. Introduction; 2. Braid Groups; 3. Knots Defined by Braids; 4. Topological Quantum Computing 5. Anyon Model6. Fibonacci Anyons; Appendix A. Fundamental group; References; An Introduction to Entanglement Theory D. J. H. Markham; 1. Introduction; 2. Quantum Mechanics and State Space; 2.1. State space; 2.2. Evolution; 2.3. POVMs, projective measurement and observables; 2.4. Composite systems; 3. Entanglement and Separability; 4. Quantification of Entanglement; 4.1. Local operations and classical communication; 4.2. Entanglement measures; 4.3. Uniqueness of measures, order on states; 4.4. Measuring entanglement; 4.5. Multipartite entanglement; 5. Conclusions; References Holonomic Quantum Computing and Its Optimization S. Tanimura1. Introduction; 2. Holonomies in Mathematics and Physics; 2.1. Holonomy in Riemannian geometry; 2.2. Berry phase in quantum mechanics; 2.3. Wilczek-Zee holonomy in quantum mechanics; 2.4. Examples; 2.4.1. Berry phase; 2.4.2. Λ-type system; 3. Holonomic Quantum Computer; 4. Formulation of the Problem and its Solution; 4.1. Geometrical setting; 4.2. The isoholonomic problem; 4.3. The solution: horizontal extremal curve; 5. The Boundary-Value Problem; 5.1. Equivalence class; 5.2. U(1) holonomy; 5.3. U(k) holonomy 6. Examples of Unitary Gates |
| Record Nr. | UNINA-9910782268603321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
