REVIEW 2 cited by
A Royal Road to Quantum Theory (or Thereabouts)
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
This paper fails to derive quantum mechanics from a few simple postulates. But it gets very close --- and it does so without much exertion. More exactly, I obtain a representation of finite-dimensional probabilistic systems in terms of euclidean Jordan algebras, in a strikingly easy way, from simple assumptions. This provides a framework within which real, complex and quaternionic QM can play happily together, and allows some --- but not too much --- room for more exotic alternatives. (This is a leisurely summary, based on recent lectures, of material from the papers arXiv:1206:2897 and arXiv:1507.06278, the latter joint work with Howard Barnum and Matthew Graydon. Some further ideas are also explored.)
Forward citations
Cited by 2 Pith papers
-
Characterizing quantum state-space with a single quantum measurement
Quantum state-space is characterized by fixed 2-norm and 3-norm constraints for pure states and a variance lower bound for all states, using only probabilities from a single complex-projective 3-design reference measurement.
-
Generalized Probability Theory: notes for a short course
An expert survey presenting GPTs as generalized probability theory through Foulis-Randall test spaces and their linearized ordered-vector-space form.
Discussion (0). Continue with ORCID to comment.