| Contents | ||
| 1 | Introduction | 3 |
| 1.1 Core Quantum Postulates......................................................................................................................................................................................... | 3 | |
| 1.2 Quantum States, Information, and Existence......................................................................................................................................................... | 5 | |
| 1.3 Interpreting Relative States Interpretation............................................................................................................................................................. | 7 | |
| 1.4 Preview....................................................................................................................................................................................................................... | 9 | |
| 2 | Quantum Jumps and Einselection from Information Flows and Predictability | 10 |
| 2.1 Repeatability and the Quantum Origin of Quantum Jumps.................................................................................................................................. | 11 | |
| 2.2 Mixed States of the “Target”...................................................................................................................................................................................... | 13 | |
| 2.3 Predictability Killed the (Schrödinger’s) Cat........................................................................................................................................................... | 15 | |
| 2.4 Records and Branches: Degenerate “Control”......................................................................................................................................................... | 15 | |
| Repeatability and Actionable Information................................................................................................................................................ | 17 | |
| 2.5 Pointer Basis, Information Transfer, and Decoherence.......................................................................................................................................... | 19 | |
| 2.6 Irreversibility of Perceived Events, or “Don’t Blame the 2nd Law—Wavepacket Collapse Is Your Own Fault!”........................................... | 21 | |
| 2.6.1 Classical Measurement Can Be Reversed Even when Record of the Outcome is Kept....................................................................... | 21 | |
| 2.6.2 Quantum Measurement Can’t Be Reversed when the Record of the Outcome is Kept...................................................................... | 22 | |
| 2.7 Summary: Events, Irreversibility, and Perceptions................................................................................................................................................ | 23 | |
| 3 | Born’s Rule from the Symmetries of Entanglement | 24 |
| 3.1 Envariance................................................................................................................................................................................................................... | 26 | |
| 3.2 Decoherence as a Result of Envariance.................................................................................................................................................................... | 27 | |
| 3.3 Swaps, Counterswaps, and Equiprobability............................................................................................................................................................ | 28 | |
| 3.4 Born’s Rule from Envariance..................................................................................................................................................................................... | 31 | |
| 3.4.1 Additivity of Probabilities from Envariance............................................................................................................................................. | 33 | |
| 3.4.2 Algebra of Records as the Boolean Algebra of Events............................................................................................................................. | 35 | |
| 3.5 Inverting Born’s Rule: Why Is the Amplitude a Square Root of the Frequency of Occurrence?....................................................................... | 36 | |
| 3.6 Relative Frequencies from Relative States............................................................................................................................................................... | 39 | |
| 3.7 Envariance—An Overview........................................................................................................................................................................................ | 41 | |
| 3.7.1 Implications and the Scope of Envariance: Why Entanglement? Why Schmidt States?...................................................................... | 41 | |
| 3.7.2 Towards the Experimental Verification of Envariance............................................................................................................................ | 43 | |
| 4 | Quantum Darwinism | 45 |
| 4.1 Mutual Information, Redundancy, and Discord..................................................................................................................................................... | 48 | |
| 4.1.1 Mutual Information..................................................................................................................................................................................... | 48 | |
| 4.1.2 Quantum Discord........................................................................................................................................................................................ | 50 | |
| 4.1.3 Evidence and Its Redundancy.................................................................................................................................................................... | 52 | |
| 4.1.4 Mutual Information, Pure Decoherence, and Branching States............................................................................................................. | 54 | |
| 4.1.5 Surplus Decoherence and Redundant Decoherence................................................................................................................................ | 56 | |
| 4.1.6 Information Gained by Pure and Mixed Environments.......................................................................................................................... | 57 | |
| 4.1.7 Environment as a Communication Channel............................................................................................................................................. | 58 | |
| 4.1.8 Quantum Darwinism and Amplification Channels................................................................................................................................. | 59 | |
| 4.2 Quantum Darwinism in Action................................................................................................................................................................................. | 59 | |
| 4.2.1 C-Nots and Qubits...................................................................................................................................................................................... | 60 | |
| 4.2.2 Central Spin Decohered by Noninteracting Spins.................................................................................................................................... | 61 | |
| 4.2.3 Quantum Darwinism in a Hazy Environment.......................................................................................................................................... | 64 | |
| 4.2.4 Quantum Darwinism and Pointer States................................................................................................................................................... | 65 | |
| 4.2.5 Redundancy vs. Relaxation in the Central Spin Model........................................................................................................................... | 68 | |
| 4.2.6 Quantum Darwinism in Quantum Brownian Motion............................................................................................................................. | 71 | |
| 4.2.7 Huge Redundancy in Scattered Photons.................................................................................................................................................. | 74 | |
| 4.3 Experimental Tests of Quantum Darwinism........................................................................................................................................................... | 78 | |
| 4.4 Summary: Environment as an Amplification Channel........................................................................................................................................... | 80 | |
| 5 | Quantum Darwinism and Objective Existence: Photohalos and Extantons | 82 |
| 5.1 Anatomy of an Extanton............................................................................................................................................................................................ | 82 | |
| 5.1.1 Extantons and “The Classical”................................................................................................................................................................... | 83 | |
| 5.1.2 Photohalos, Photoextantons, and Information Detached from Existence............................................................................................. | 84 | |
| 5.1.3 Photohalos and the Quantum Origins of Irreversibility......................................................................................................................... | 85 | |
| 5.2 Quantum Darwinism and the Existential Interpretation....................................................................................................................................... | 85 | |
| 5.3 From Quantum Core Postulates to Objective Classical Reality............................................................................................................................. | 86 | |
| 5.4 Extantons and the Existential Interpretation.......................................................................................................................................................... | 87 | |
| 5.5 Decoherence and Information Processing............................................................................................................................................................... | 88 | |
| 5.6 Quantum Darwinism and “Life as We Know It”.................................................................................................................................................... | 89 | |
| Seeing Is Believing...................................................................................................................................................................................... | 90 | |
| 5.7 Bohr, Everett, and Wheeler........................................................................................................................................................................................ | 90 | |
| 5.8 Closing Remarks......................................................................................................................................................................................................... | 92 | |
| References | 94 | |