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. Contents: My Life as a Quantum Physicist (M Nakahara) A Review on Operator Quantum Error Correction — Dedicated to Professor Mikio Nakahara on the Occasion of His 60th Birthday (C-K Li, Y-T Poon and N-S Sze) Implementing Measurement Operators in Linear Optical and Solid-State Qubits (Y Ota, S Ashhab and F Nori) Fast and Accurate Simulation of Quantum Computing by Multi-Precision MPS: Recent Development (A Saitoh) Entanglement Properties of a Quantum Lattice-Gas Model on Square and Triangular Ladders (S Tanaka, R Tamura and H Katsura) On Signal Amplification from Weak-Value Amplification (Y Shikano) Topological Protection of Quantum Information (K Fujii) Quantum Annealing with Antiferromagnetic Fluctuations for Mean-Field Models (Y Seki and H Nishimori) A Method to Change Phase Transition Nature — Toward Annealing Methods (R Tamura and S Tanaka) Computational Analysis of the First Stage of the Photosynthetic System, the Light-Dependent Reaction, by Quantum Chemical Simulation Method (M Tada-Umezaki) Two-Qubit Gate Operation on Selected Nearest Neighboring Qubits in a Neutral Atom Quantum Computer (E Hosseini Lapasar, K Kasamatsu, S Nic Chormaic, T Takui, Y Kondo, M Nakahara and T Ohmi) A Simple Operator Quantum Error Correction Scheme Avoiding Fully Correlated Errors (C Bagnasco, Y Kondo and M Nakahara) Black Hole Predictability, Classical and Quantum (A Ishibashi) Classical Field Simulation of Finite-Temperature Bose Gases (T Sato) Atomic Quantum Simulations of Lattice Gauge Theory: Effect of Gauge Symmetry Breaking (K Kasamatsu, I Ichinose and T Matsui) Recursive Construction of Noiseless Subsystem for Qudits (U Güngördü, C-K Li, M Nakahara, Y-T Poon and N-S Sze) Composite Quantum Gates for Precise Quantum Control (M Bando, T Ichikawa, Y Kondo and M Nakahara) New Formulation of Statistical Mechanics Using Thermal Pure Quantum States (S Sugiura and A Shimizu) Thermodynamics in Unitary Time Evolution (T N Ikeda) Second Law of Thermodynamics with QC-Mutual Information (T Sagawa) Readership: Graduate students and researchers in physics, mathematics, informatics and computer science. Accessible to advanced undergraduate students. Key Features: This book includes wide-ranging areas of quantum physics, e.g., quantum annealing, topological quantum computation, quantum error correction, and foundation of thermodynamics Some of the authors are PhD students. This book includes very recent topics relating to quantum physics Prominent authors: Professor Mikio Nakahara and Professor Chi-Kwong Li, Professor Akihiro Ishibashi, and Professor Kenichi Kasamatsu

### Table of contents

Cover Page

Title Page

Copyright Page

Contents

Preface

My Life as a Quantum Physicist

A Review on Operator Quantum Error Correction — Dedicated to Professor Mikio Nakahara on the Occasion of His 60th Birthday

Implementing Measurement Operators in Linear Optical and Solid-State Qubits

Fast and Accurate Simulation of Quantum Computing by Multi-Precision MPS: Recent Development

Entanglement Properties of a Quantum Lattice-Gas Model on Square and Triangular Ladders

On Signal Amplification from Weak-Value Amplification

Topological Protection of Quantum Information

Quantum Annealing with Antiferromagnetic Fluctuations for Mean-Field Models

A Method to Change Phase Transition Nature — Toward Annealing Methods

Computational Analysis of the First Stage of the Photosynthetic System, the Light-Dependent Reaction, by Quantum Chemical Simulation Method

Two-Qubit Gate Operation on Selected Nearest Neighboring Qubits in a Neutral Atom Quantum Computer

A Simple Operator Quantum Error Correction Scheme Avoiding Fully Correlated Errors

Black Hole Predictability, Classical and Quantum

Classical Field Simulation of Finite-Temperature Bose Gases

Atomic Quantum Simulations of Lattice Gauge Theory: Effect of Gauge Symmetry Breaking

Recursive Construction of Noiseless Subsystem for Qudits

Composite Quantum Gates for Precise Quantum Control

New Formulation of Statistical Mechanics Using Thermal Pure Quantum States

Thermodynamics in Unitary Time Evolution

Second Law of Thermodynamics with QC-Mutual Information