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12
Quantum mechanics as quantum information (and only a little more), Quantum Theory: Reconsideration of Foundations
, 2002
"... In this paper, I try once again to cause some goodnatured trouble. The issue remains, when will we ever stop burdening the taxpayer with conferences devoted to the quantum foundations? The suspicion is expressed that no end will be in sight until a means is found to reduce quantum theory to two or ..."
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Cited by 61 (6 self)
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In this paper, I try once again to cause some goodnatured trouble. The issue remains, when will we ever stop burdening the taxpayer with conferences devoted to the quantum foundations? The suspicion is expressed that no end will be in sight until a means is found to reduce quantum theory to two or three statements of crisp physical (rather than abstract, axiomatic) significance. In this regard, no tool appears better calibrated for a direct assault than quantum information theory. Far from a strained application of the latest fad to a timehonored problem, this method holds promise precisely because a large part—but not all—of the structure of quantum theory has always concerned information. It is just that the physics community needs reminding. This paper, though takingquantph/0106166 as its core, corrects one mistake and offers several observations beyond the previous version. In particular, I identify one element of quantum mechanics that I would not label a subjective term in the theory—it is the integer parameter D traditionally ascribed to a quantum system via its Hilbertspace dimension. 1
Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory
, 2003
"... Bohmian mechanics is the most naively obvious embedding imaginable of Schrödinger’s equation into a completely coherent physical theory. It describes a world in which particles move in a highly nonNewtonian sort of way, one which may at first appear to have little to do with the spectrum of predict ..."
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Cited by 29 (14 self)
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Bohmian mechanics is the most naively obvious embedding imaginable of Schrödinger’s equation into a completely coherent physical theory. It describes a world in which particles move in a highly nonNewtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. It turns out, however, that as a consequence of the defining dynamical equations of Bohmian mechanics, when a system has wave function ψ its configuration is typically random, with probability density ρ given by ψ², the quantum equilibrium distribution. It also turns out that the entire quantum formalism, operators as observables and all the rest, naturally emerges in Bohmian mechanics from the analysis of “measurements. ” This analysis reveals the status of operators as observables in the description of quantum phenomena, and facilitates a clear view of the range of applicability of the usual quantum mechanical formulas.
Notes on a Paulian idea: foundational, historical, anecdotal and forwardlooking thoughts on the quantum
"... This document is the first installment of three in the Cerro Grande Fire Series. The Cerro Grande Fire left many in the Los Alamos community acutely aware of the importance of backing up the hard drive. I could think of no better instrument for the process than LANL itself. This is a collection of l ..."
Abstract

Cited by 10 (4 self)
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This document is the first installment of three in the Cerro Grande Fire Series. The Cerro Grande Fire left many in the Los Alamos community acutely aware of the importance of backing up the hard drive. I could think of no better instrument for the process than LANL itself. This is a collection of letters written to various friends and colleagues
Notes on a Paulian Idea
"... June 2000, "Greece" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 Carl's Preply . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 07 September 2000, "Critical Letters and Reply" . . . . . . . . . . . . . . . . . . . . 133 13 November 2000, "Bush vs ..."
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June 2000, "Greece" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 Carl's Preply . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 07 September 2000, "Critical Letters and Reply" . . . . . . . . . . . . . . . . . . . . 133 13 November 2000, "Bush vs. Bohr" . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 01 February 2001, "An Ed/Ellen Jaynesian" . . . . . . . . . . . . . . . . . . . . . . 134 01 February 2001, "My Jaynes" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 26 February 2001, "Death of a Salesman" . . . . . . . . . . . . . . . . . . . . . . . . 135 11 Letters to Greg Comer 136 14 February 1995, "Turtle Wax" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 04 March 1995, "Saturday Slush" . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 07 March 1995, "Please, Please No More!" . . . . . . . . . . . . . . . . . . . . . . . 137 27 January 1996, "Philo" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 xi February 1996, "The MontRoyal Sweats" . . . . . . . . . . . . . . . . . . . . . . 138 27 February 1996, "Kant Cola" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 06 March 1996, "Rub Me" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 26 March 1996, "Savagery" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 27 March 1996, "Strange Comment" . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 01 April 1996, "Puppy Scoops" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 04 May 1996, "You May Enjoy" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 19 July 1996, "Old Moods" . . . . . . . . . . . . ....
Foundational, Historical, Anecdotal and ForwardLooking Thoughts on the Quantum Selected Correspondence, 1995–2001
, 2001
"... This document is the first installment of three in the Cerro Grande Fire Series. The Cerro Grande Fire left many in the Los Alamos community acutely aware of the importance of backing up the hard drive. I could think of no better instrument for the process than LANL itself. This is a collection of l ..."
Abstract
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This document is the first installment of three in the Cerro Grande Fire Series. The Cerro Grande Fire left many in the Los Alamos community acutely aware of the importance of backing up the hard drive. I could think of no better instrument for the process than LANL itself. This is a collection of letters written to various friends and colleagues
QUANTUM LOGIC AND QUANTUM COMPUTATION
, 812
"... This quantum logic of qubits (also called quantum computational logic [8, 18]) is a formalism of finite tensor products of twodimensional Hilbert spaces and will be ..."
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This quantum logic of qubits (also called quantum computational logic [8, 18]) is a formalism of finite tensor products of twodimensional Hilbert spaces and will be
All quantum expectation values as classical statistical mean values.
, 706
"... Given a physical quantum system described by a Hilbert space H, for any bounded quantum observable (a bounded selfadjoint operator) T it is possible to define several ”hidden observable ” functions f: H →R associated to T and for any quantum mixed state (a density matrix) D it is possible to define ..."
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Given a physical quantum system described by a Hilbert space H, for any bounded quantum observable (a bounded selfadjoint operator) T it is possible to define several ”hidden observable ” functions f: H →R associated to T and for any quantum mixed state (a density matrix) D it is possible to define several ”hidden mixed states ” (probability measures) µ on H associated to D in such a way that the following equality is verified: Trace [b(T) · D] = b(f(ψ)) · dµ(ψ) whatever is the continuous function b: R → R. This formula gives a general way to express any expectation value computable in a quantum theory as a classical statistical mean value. H 1.
A Bayesian Analogue of Gleason’s Theorem
, 2006
"... We introduce a novel notion of probability within quantum history theories and give a Gleasonesque proof for these assignments. This involves introducing a tentative novel axiom of probability. We also discuss the use of these probabilities and we introduce a tentative generalised notion of Shannon ..."
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We introduce a novel notion of probability within quantum history theories and give a Gleasonesque proof for these assignments. This involves introducing a tentative novel axiom of probability. We also discuss the use of these probabilities and we introduce a tentative generalised notion of Shannon entropy.
Into the Fold: Searching for a Theory of Natural Inference
, 2008
"... We attempt to bring a little realism back to quantum theory by bringing it into the fold of relational theories. This allows us to formulate an approach to quantum theory which is perhaps compatible with quantum gravity. We also use another relational theory—Darwinian evolution—as an analogy in orde ..."
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We attempt to bring a little realism back to quantum theory by bringing it into the fold of relational theories. This allows us to formulate an approach to quantum theory which is perhaps compatible with quantum gravity. We also use another relational theory—Darwinian evolution—as an analogy in order to postulate such realistic dynamics. This paper is written in relatively lay terms and presumes no prior knowledge of quantum theory. Keywords: Relationalism; Quantum Theory; Darwinian Evolution. In this short note we will try and learn a few things from the major modern physical theories of our time and then we shall try to apply these lessons to quantum theory. By doing this we will end up putting a little bit of realism back into quantum theory in a way that seems compatible with quantum gravity and cosmology. Leibniz, a contemporary of Newton, introduced two principles which together