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

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In an equilibrium world with local interactions (e.g. a thermal ensemble under a local Hamiltonian) correlations are generically local, mediated through the present. Equilibrium correlations mediated through present only By contrast, in a nonequilibrium world, local dynamics can generically give rise to long range correlations, mediated not through the present but through a V-shaped path in space-time representing a common history. time Grenada 1999 Canada 2002
Conversely, what else is required, besides disequilibrium, for a system to generate unbounded depth in the limit of unbounded time and spatial extent? How strong is the connection between disequilibrium and complexity, in the sense of logical depth? Are thermal equilibrium states generically shallow? Yes. • Gibbs phase rule: for generic parameter values, a locally interacting classical system, of finite spatial dimensionality and at finite temperature, relaxes to a unique Gibbs state of lowest bulk free energy. => no long term memory => as N, t →∞, depth remains bounded • Quantum exception, in 3 or more dimensions. p ice water T steam
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 and 44: In the philosophy of science, the p
Page 45 and 46: A trivially orderly sequence like 1
Page 47: At equilibrium, complexity still pe
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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