LEADER 05513nam 2200673Ia 450 001 9910464794703321 005 20200520144314.0 010 $a981-4425-19-2 035 $a(CKB)3400000000087241 035 $a(EBL)1080988 035 $a(OCoLC)821180536 035 $a(SSID)ssj0000916934 035 $a(PQKBManifestationID)11562474 035 $a(PQKBTitleCode)TC0000916934 035 $a(PQKBWorkID)10877958 035 $a(PQKB)11067496 035 $a(MiAaPQ)EBC1080988 035 $a(WSP)00002826 035 $a(Au-PeEL)EBL1080988 035 $a(CaPaEBR)ebr10627503 035 $a(CaONFJC)MIL498493 035 $a(EXLCZ)993400000000087241 100 $a20121210d2013 uy 0 101 0 $aeng 135 $aurbuu|||uu||| 181 $ctxt 182 $cc 183 $acr 200 00$aLectures on quantum computing, thermodynamics and statistical physics$b[electronic resource] /$feditors, Mikio Nakahara, Shu Tanaka 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific Pub.$dc2013 215 $a1 online resource (199 p.) 225 1 $aKinki University series on quantum computing ;$vvol. 8 300 $aDescription based upon print version of record. 311 $a981-4425-18-4 320 $aIncludes bibliographical references. 327 $aPreface; 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 327 $a4.2. Clustering Problem 5. 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 327 $a5.2.2. Non-Monotonic Behavior of Correlation Function in Decorated Bond System 6. 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 327 $a3.2. Surface code 3.2.1. 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 327 $a4.3. Non-adiabatic quantum computation 4.3.1. 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 327 $a2.2.1. Unitary Evolution 330 $aThis book is a collection of lecture notes from the Symposium on Quantum Computing, Thermodynamics, and Statistical Physics, held at Kinki University in March 2012. Quantum information theory has a deep connection with statistical physics and thermodynamics. This volume introduces some of the topics on interface among the mentioned fields. Subjects included in the lecture notes include quantum annealing method, nonequilibrium thermodynamics and spin glass theory, among others. These subjects were presented with much emphasis put in its relevance in quantum information theory. These lecture not 410 0$aKinki University series on quantum computing ;$vv. 8. 606 $aStatistical physics 606 $aThermodynamics 608 $aElectronic books. 615 0$aStatistical physics. 615 0$aThermodynamics. 676 $a004.1 676 $a530.12 701 $aNakahara$b Mikio$052615 701 $aTanaka$b Shu$0971675 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910464794703321 996 $aLectures on quantum computing, thermodynamics and statistical physics$92209202 997 $aUNINA