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121205s2012 si o 000 0 eng d |
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|a MERUC
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|a 9789814425193
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|a (OCoLC)821180536
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|a QA76.889
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|a HCDD
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|a Nakahara, Mikio.
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|a Lectures on quantum computing, thermodynamics and statistical physics.
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|a Singapore :
|b World Scientific,
|c 2012.
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|a 1 online resource (199 pages).
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|a text
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|a online resource
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|a KINKI UNIVERSITY SERIES ON QUANTUM COMPUTING
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|a This book is a collection of lecture notes from the Symposium on Quantum Computing, Thermodynamics, and Statistical Physics, held at Kinki University in March 2012. Quantum information theory has a deep connection with statistical physics and thermodynamics. This volume introduces some of the topics on interface among the mentioned fields. Subjects included in the lecture notes include quantum annealing method, nonequilibrium thermodynamics and spin glass theory, among others. These subjects were presented with much emphasis put in its relevance in quantum information theory. These lecture not.
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|a Preface; CONTENTS; Quantum Annealing: From Viewpoints of Statistical Physics, Condensed Matter Physics, and Computational Physics Shu Tanaka and Ryo Tamura; 1. Introduction; 2. Ising Model; 2.1. Magnetic Systems; 2.2. Nuclear Magnetic Resonance; 3. Implementation Methods of Quantum Annealing; 3.1. Monte Carlo Method; 3.2. Deterministic Method Based on Mean-Field Approximation; 3.3. Real-Time Dynamics; 3.4. Experiments; 4. Optimization Problems; 4.1. Traveling Salesman Problem; 4.1.1. Monte Carlo Method; 4.1.2. Quantum Annealing; 4.1.3. Comparison with Simulated Annealing and Quantum Annealing.
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|a 4.2. Clustering Problem5. Relationship between Quantum Annealing and Statistical Physics; 5.1. Kibble-Zurek Mechanism; 5.1.1. Efficiency of Simulated Annealing and Quantum Annealing; 5.1.2. Simulated Annealing for Random Ferromagnetic Ising Chain; 5.1.3. Quantum Annealing for Random Ferromagnetic Ising Chain; 5.1.4. Comparison between Simulated and Quantum Annealing Methods; 5.2. Frustration Effects for Simulated Annealing and Quantum Annealing; 5.2.1. Thermal Fluctuation and Quantum Fluctuation Effect of Geometrical Frustrated Systems.
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|a 5.2.2. Non-Monotonic Behavior of Correlation Function in Decorated Bond System6. Conclusion; Acknowledgement; References; Spin Glass: A Bridge between Quantum Computation and Statistical Mechanics Masayuki Ohzeki; 1. Introduction: Statistical Mechanics and Quantum Mechanics; 2. Training: Statistical Mechanics; 2.1. Student's misreading point: Probability is ... ; 2.2. Probability describes ... a certain behavior; 2.3. Large deviation property; 2.4. Mean-field analysis; 2.5. Phase transition; 2.6. Spin glasses; 2.7. Gauge theory; 3. Quantum Error Correction: Surface Code; 3.1. Error model.
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|a 3.2. Surface code3.2.1. Check operators and error syndrome; 3.2.2. Probability of error chains; 3.3. Analyses on accuracy thresholds for surface code; 3.3.1. Duality analysis: Simple case; 3.3.2. Duality analysis: Spin glass; 3.3.3. Duality analysis with real-space renormalization; 3.3.4. Other cases; 3.3.5. Depolarizing channel; 4. Quantum Annealing and Beyond; 4.1. Quantum adiabatic computation: Short review; 4.2. Novel type of quantum annealing; 4.2.1. Classical quantum mapping; 4.2.2. Jarzynski equality; 4.2.3. Quantum Jarzynski annealing; 4.2.4. Problems in measurement of answer.
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|a 4.3. Non-adiabatic quantum computation4.3.1. Jarzynski equality for quantum system; 4.3.2. Performance of non-adiabatic quantum annealing; 4.4. Analyses on non-adiabatic quantum annealing; 4.4.1. Gauge transformation for quantum spin systems; 4.4.2. Relationship between two different paths of NQA; 4.4.3. Exact relations involving inverse statistics; 5. Summary; References; Second Law-like Inequalities with Quantum Relative Entropy: An Introduction Takahiro Sagawa; 1. Introduction; 2. Quantum States and Dynamics; 2.1. Quantum States and Observables; 2.2. Quantum Dynamics.
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|a Quantum communication
|v Congresses.
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|a Quantum computers
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|a Quantum theory
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|a Statistical physics
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|a Thermodynamics
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|a Quantum communication
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|a Quantum computers
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|a Quantum theory
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|a Statistical physics
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|a Thermodynamics
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|a Conference papers and proceedings
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|a Tanaka, Shu.
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|i has work:
|a Lectures on quantum computing, thermodynamics and statistical physics (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFDPRGwqcqvqqgQvWxRvQC
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|i Print version:
|a Nakahara, Mikio.
|t LECTURES ON QUANTUM COMPUTING, THERMODYNAMICS AND STATISTICAL PHYSICS.
|d Singapore : World Scientific, ©2012
|z 9789814425186
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| 830 |
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|a Kinki University series on quantum computing.
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|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1080988
|y Click for online access
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|a EBC-AC
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|a 92
|b HCD
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