Skip to main content
. 2022 Oct 24;24(11):1520. doi: 10.3390/e24111520
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