Quantum gravity may permit contextual deviations from the Fisher metric, inducing observer-dependent modifications to the Born rule.
QBism, the Perimeter of Quantum Bayesianism
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
This article summarizes the Quantum Bayesian point of view of quantum mechanics, with special emphasis on the view's outer edges---dubbed QBism. QBism has its roots in personalist Bayesian probability theory, is crucially dependent upon the tools of quantum information theory, and most recently, has set out to investigate whether the physical world might be of a type sketched by some false-started philosophies of 100 years ago (pragmatism, pluralism, nonreductionism, and meliorism). Beyond conceptual issues, work at Perimeter Institute is focused on the hard technical problem of finding a good representation of quantum mechanics purely in terms of probabilities, without amplitudes or Hilbert-space operators. The best candidate representation involves a mysterious entity called a symmetric informationally complete quantum measurement. Contemplation of it gives a way of thinking of the Born Rule as an addition to the rules of probability theory, applicable when an agent considers gambling on the consequences of his interactions with a newly recognized universal capacity: dimension (formerly Hilbert-space dimension). (The word "capacity" should conjure up an image of something like gravitational mass---a body's mass measures its capacity to attract other bodies. With hindsight one can say that the founders of quantum mechanics discovered another universal capacity, "dimension.") The article ends by showing that the egocentric elements in QBism represent no impediment to pursuing quantum cosmology and outlining some directions for future work.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
Redefines quantum states as equivalence classes of density operators to show the contradiction between unitary Schrödinger dynamics and outcome reduction becomes negligible in a suitable limit, unifying with decoherence and von Neumann entropy ideas.
Authors analytically construct a state-dependent stochastic Hamiltonian whose Schrödinger evolution matches projective collapse on n-level systems and ground-state position measurement on a harmonic oscillator.
By adding an observer-independent irreversibility principle for detections, the paper concludes that quantum superposition cannot extend to visible objects with observer-dependent outcomes.
citing papers explorer
-
Information Metrics and Possible Limitations of Local Information Objectivity in Quantum Gravity
Quantum gravity may permit contextual deviations from the Fisher metric, inducing observer-dependent modifications to the Born rule.
-
Emergence of outcomes in quantum mechanics
Redefines quantum states as equivalence classes of density operators to show the contradiction between unitary Schrödinger dynamics and outcome reduction becomes negligible in a suitable limit, unifying with decoherence and von Neumann entropy ideas.
-
Describing the Wave Function Collapse Process with a State-dependent Hamiltonian
Authors analytically construct a state-dependent stochastic Hamiltonian whose Schrödinger evolution matches projective collapse on n-level systems and ground-state position measurement on a harmonic oscillator.
-
The limits of quantum superposition: Should "Schr\"{o}dinger's cat" and "Wigner's friend" be considered "miracle" narratives?
By adding an observer-independent irreversibility principle for detections, the paper concludes that quantum superposition cannot extend to visible objects with observer-dependent outcomes.
- Finite-Precision Quantum Mechanics