Physics, mathematics, and all that quantum jazz / editors, Shu Tanaka, Masamitsu Bando, Utkan Güngördü.

Format:

Book

Contributor:

Tanaka, Shu, editor.

Bando, Masamitsu, editor.

Güngördü, Utkan, editor.

Series:

Kinki University series on quantum computing ; Volume 9.

Kinki University Series on Quantum Computing, 1793-7299 ; Volume 9

Language:

English

Subjects (All):

Quantum theory--Congresses.

Quantum theory.

Physical Description:

1 online resource (290 p.)

Place of Publication:

Singapore : World Scientific, 2014.

Language Note:

English

Summary:

This book is a collection of contributions from a Summer Workshop on "Physics, Mathematics, and All That Quantum Jazz". Subjects of the symposium include quantum information theory, quantum annealing, Bose gases, and thermodynamics from a viewpoint of quantum physics. Contributions to this book are prepared in a self-contained manner so that readers with a modest background may understand the subjects. Sample Chapter(s). My Life as a Quantum Physicist (145 KB). Contents: My Life as a Quantum Physicist (M Nakahara); A Review on Operator Quantum Error Correction - Dedicated to Professor Mikio Na

Contents:

Preface; CONTENTS; Summer Workshop on Physics, Mathematics, and All That Quantum Jazz; LIST OF PARTICIPANTS; My Life as a Quantum Physicist; 1. My Research Career to Date; 2. Future Prospects; Acknowledgments; References; A Review on Operator Quantum Error Correction - Dedicated to Professor Mikio Nakahara on the Occasion of His 60th Birthday; 1. Introduction; 2. General mathematical framework; 2.1. Quantum error correcting code; 2.2. Decoherence free subspace and noiseless subsystem; 2.3. Operator quantum error correction; 3. Collective noise; Acknowledgment; References

Implementing Measurement Operators in Linear Optical and Solid-State Qubits1. Introduction; 2. Setting; 3. Design of general measurements on linear optical qubits; 3.1. Symmetric arbitrary-strength two-outcome measurements; 3.2. General two-outcome measurements; 3.3. General multi-outcome measurements; 4. Solid-state qubits; 5. Summary; Acknowledgments; References; Fast and Accurate Simulation of Quantum Computing by Multi-Precision MPS: Recent Development; 1. Introduction; 2. Basics of the TDMPS method; 2.1. Operator-space TDMPS; 3. Necessity of multiprecision computation; 4. Performance

4.1. Recent speedup in Hermitian-matrix diagonalization4.2. Simulation of the Deutsch-Jozsa algorithm; 4.3. Simulation of the Grover search; 4.4. Simulation of a QFT-based in-place addition; 4.5. Simulation of the Shor's algorithm; 5. Concluding remarks; Acknowledgments; References; Entanglement Properties of a Quantum Lattice-Gas Model on Square and Triangular Ladders; 1. Introduction; 2. Model; 3. Reduced density matrix; 4. Entanglement properties; 4.1. Entanglement entropy; 4.2. Entanglement spectrum; 4.3. Nested entanglement entropy; 5. Summary and future perspective; Acknowledgments

Appendix A. Critical phenomena of the classical hard-square modelReferences; On Signal Amplification from Weak-Value Amplification; 1. Introduction; 2. What is Probability in Quantum Mechanics?; 3. Extended Probability Theory via Two-State Vector Formalism; 4. Signal Amplification; Acknowledgments; References; Topological Protection of Quantum Information; 1. Introduction; 2. Planer surface code and defect qubits; 3. Topological quantum computation by braiding; 4. Topological error correction and threshold values; 5. Topologically protected MBQC; 6. Applications; 7. Conclusion

AcknowledgmentsReferences; Quantum Annealing with Antiferromagnetic Fluctuations for Mean-Field Models; 1. Introduction; 2. Quantum annealing; 3. The ferromagnetic p-spin model; 4. The Hopfield model; 5. Summary and conclusion; Acknowledgments; References; A Method to Change Phase Transition Nature - Toward Annealing Methods; 1. Introduction; 2. Optimization problems; 3. Annealing methods; 3.1. Mechanism of simulated annealing; 3.2. Mechanism of quantum annealing; 4. Phase transitions; 4.1. First-order phase transition; 4.2. Second-order phase transition; 5. Potts model with invisible states

6. Conclusion and future perspective

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters.

Description based on online resource; title from PDF title page (ebrary, viewed May 27, 2014).

ISBN:

981-4602-37-X