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The Quantum World: From Waves to the Mystery of Entanglement

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The Quantum World: From Waves to the Mystery of Entanglement is a book on quantum physics by Zhian Jia,[1][2][3][4] published by Peking University Press in 2026.[5][6]

The book gives an accessible yet rigorous account of the strange and counterintuitive realm of the very small. It talks about the historical development of quantum theory, from the wave-particle debate over light to Planck's quantum hypothesis and Einstein's light quanta. It discusses core concepts such as the wave function, the measurement problem, the uncertainty principle, and the probabilistic nature of the microscopic world. It then extends the discussion to the quantum nature of time, the building blocks of matter including spin and the standard model of elementary particles, and finally to the frontiers of quantum information: qubits, entanglement, Bell experiments, quantum computing, and topological order. The book guides readers through a complete quantum landscape, from foundational theory to cutting-edge technology, and is suitable both for students and researchers seeking to understand quantum physics and for curious readers eager to reconstruct their understanding of reality through a quantum lens.

Contents

The book is organized into five parts. The first part, "The State of All Things," covers the entrance to the quantum garden through the odyssey of light, the wave-particle duality of quanta, and wave functions and quantum ripples. The second part, "The Order of Measurement," examines measurement, collapse and the uncertainty principle, the contextual nature of measurement, and the boundary between the macroscopic and microscopic worlds. The third part, "Time and Evolution," explores time in the quantum world, the uncertainty of time, and the causal order of past and future. The fourth part, "The Building Blocks of All Things," discusses quantum spin and identical particles, and elementary particles and the standard model. The fifth part, "The Mystery of Entanglement," covers quantum bits and the idea that information is physical, quantum entanglement and Bell experiments, quantum computing and complexity, and topological order and new states of matter.[5][6]

Overview of Topics

Part Focus Area Core Concepts & Topics
Part I: The State of All Things Foundations & Wave Mechanics
  • History of optics and the wave-particle debate
  • Planck's quantum hypothesis and Einstein's light quanta
  • Bohr atom and wave-particle duality
  • Double-slit experiment and quantum coherence
  • Schrödinger equation and Born's probability rule
  • Quantum tunneling, phase space, and cosmological wave functions
Part II: The Order of Measurement Measurement & Quantum Reality
  • Quantum observables and wave-function collapse
  • Heisenberg uncertainty principle
  • Contextuality, hidden variables, and the Mermin–Peres magic square
  • Quantum decoherence and quantum Darwinism
  • Macroscopic vs. microscopic boundary, many-worlds, and Schrödinger's cat
Part III: Time and Evolution Temporal Dynamics & Causality
  • Classical vs. relativistic vs. quantum formulations of time
  • Spacetime quantization and atomic clocks
  • Time-energy uncertainty and quantum speed limits
  • Feynman path integrals and path superpositions
  • Wheeler's delayed choice, quantum erasers, and indefinite causal order
Part IV: The Building Blocks of All Things Particle Physics & Quantum Statistics
  • Spin, indistinguishable particles, and quantum exchange symmetry
  • Bose–Einstein and Fermi–Dirac statistics
  • Atomic/molecular foundations
  • Elementary particles and the Standard Model
Part V: The Mystery of Entanglement Information, Computation & Topological Matter
  • Classical vs. quantum information (qubits)
  • No-cloning theorem, quantum teleportation, and quantum cryptography
  • EPR paradox, Bell's theorem, and quantum nonlocality
  • Quantum computing architectures, complexity, and algorithms (e.g., Deutsch–Jozsa)
  • Symmetry breaking, topological order, and Kitaev's toric code

References