Quantum Information, the Ambiguity of the Past, and the Birth ... - PiTP

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In a computerized version of Occam’s Razor, the hypotheses are replaced by alternative programs for a universal computer to compute a particular digital or digitized object X. Alternative programs 101101100110011110 111010100011 1000111 Computational Path Logical depth of X Digital Object X 101101100110011110 The shortest program is most plausible, so its run time measures the object’s logical depth, or plausible amount of computational work required to create the object.
A trivially orderly sequence like 111111… is logically shallow because it can be computed rapidly from a short description. A typical random sequence, produced by coin tossing, is also logically shallow, because it essentially its own shortest description, and is rapidly computable from that. Depth thus differs from Kolmogorov complexity or algorithmic information, defined as the size of the shortest description, which is high for random sequences.
Page 1 and 2: Quantum Information, the Ambiguity
Page 3 and 4: After the experiment is over, even
Page 5 and 6: (This typically happens when the en
Page 7 and 8: To the amazement of most of the res
Page 9 and 10: Nowadays, it is tempting to believe
Page 11 and 12: Even in today’s world, much macro
Page 13 and 14: But I think some information really
Page 16 and 17: So we are motivated to add a new le
Page 18 and 19: How to obliterate earthly evidence
Page 20 and 21: But suppose we wanted to store not
Page 22 and 23: Can we arrange for escaped informat
Page 24 and 25: • Can we outrun the radiation? Fo
Page 26: Ontological Status of Escaped Infor
Page 29 and 30: • Is random input (eg radiation f
Page 31 and 32: Up to now, I have considered only g
Page 33 and 34: Looking inside a pottery kiln by it
Page 35 and 36: Most classical information, such as
Page 37 and 38: Enough about information & remember
Page 39 and 40: Self-organization, the spontaneous
Page 41 and 42: Wake behind Stepping Stone (Kamo Ri
Page 43: In the philosophy of science, the p
Page 47 and 48: At equilibrium, complexity still pe
Page 49 and 50: Conversely, what else is required,
Page 51 and 52: Dissipation without Complexity 50 C
Page 53 and 54: Are some dissipative environments s
Page 55 and 56: Extra Slides
Page 57 and 58: The input/output graph of this or a
Page 59 and 60: Problem: scaling with number: we wo
Page 61 and 62: Two Upper Neighbors Past Future Two
Page 63: Information budget for random permu

Quantum Information, the Ambiguity of the Past, and the Birth ... - PiTP

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