Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1401.7254

Some Negative Remarks on Operational Approaches to Quantum Theory

Christopher A. Fuchs, Blake C. Stacey

Published May 10, 2011• 5 citations
arXivHTMLPDF

Abstract

Over the last 10 years there has been an explosion of "operational reconstructions" of quantum theory. This is great stuff: For, through it, we come to see the myriad ways in which the quantum formalism can be chopped into primitives and, through clever toil, brought back together to form a smooth whole. An image comes to mind of a brain-teaser puzzle, all sliding and interlocking pieces. There is no doubt that this is invaluable work, particularly for our understanding of the intricate connections between so many quantum information protocols. But to me, it seems to miss the mark for an ultimate understanding of quantum theory; I am left hungry. I still want to know what strange property of matter forces this formalism upon our information accounting. To play on something Einstein once wrote to Max Born, "The quantum reconstructions are certainly imposing. But an inner voice tells me that they are not yet the real thing. The reconstructions say a lot, but do not really bring us any closer to the secret of the `old one'." In this talk, I hope to expand on these points and convey some sense of why I am fascinated with the problem of the symmetric informationally complete POVMs to an extent greater than axiomatic reconstructions.

DOI
10.48550/arxiv.1401.7254

Related papers

Some Negative Remarks on Operational Approaches to Quantum Theory

Christopher A. Fuchs, Blake C. Stacey

Fundamental theories of physics•Dec 9, 2015•33 citations

Oblivions and Flaws in Quantum Physics and Some Alternatives

Mirwais Rashid

One critic of Quantum Physics was, reportedly, Albert Einstein, to whom this quote is ascribed: “Quantum mechanics is certainly imposing. But an inner voice tells me that it is not yet the real thing. The theory says a lot, but does not really bring us any closer to the secret of the 'old one'. I, at any rate, am convinced that He does not throw dice”. In this booklet, criticisms towards some claims of some Nobel Prize Laureates in Physics, such as Max Planck, Louis de Broglie, Erwin Schrodinger, Max Born, Werner Heisenberg, Paul Dirac, Richard Feynman, Gerardus 't Hooft, are explained with detailed math.'s physical descriptions as to where these famous physicists were wrong. In Chapter 1 of this booklet it is shown that Maxwell's equations and Classic Physics, can explain some of the phenomena such as the Photoelectric Effect satisfyingly. In Chapter 2 it is explained that, though well encouraging, still taking the Nobel Prizes' money would be unethical and immoral, since that money was initially earned by the sale of dynamite which was also used, unfortunately, for killings. Justice would have been if that money would have been given to its victims or to their surviving families.

LAP LAMBERT Academic Publishing eBooks•Feb 13, 2018•0 citations

On Relationalist Reconstructions of Quantum Theory

Blake C. Stacey

Why I'm not happy with how Relational Quantum Mechanics has addressed the reconstruction of quantum theory, and why you shouldn't be either.

arXiv:2109.03186•Sep 7, 2021•1 citation

Albert Einstein to Max Born

Albert Einstein

Translated by Irene Born Newton-John In this letter to his old friend, now at Edinburgh University, Einstein first responds to Born’s description of a local physician “who wouldn’t hurt a fly, but [states] that no sacrifice is too great [for] the realization of Marxist ideals, not even the destruction of millions of human lives.” And then it’s back to the old quarrel about quantum mechanics. (See Born’s comment below.) Princeton, 15 September 1950Dear Born,… People such as your Bolshevik doctor come by their fantastic attitude as a result of their objection to the harshness, injustice and absurdity of our own social order (escape from reality). If he happened to be living in Russia, no doubt he would be a rebel there as well, only in that case he would take care not to tell you about it. Nevertheless it seems to me that our own people here [in the US] make an even worse job of their foreign policy than the Russians. And the idiotic public can be talked into anything. And they really are very shortsighted, for technological superiority is transitory, and if it comes to an all-out conflict, the decisive factor is sheer numerical superiority.There is nothing analogous in relativity to what I call incompleteness of description in the quantum theory. Briefly it is because the ψ-function is incapable of describing certain qualities of an individual system, whose “reality” none of us doubt (such as a microscopic parameter). Take a (macroscopic) body that can rotate freely about an axis. Its state is fully determined by an angle. Let the initial conditions (angle and angular momentum) be defined as precisely as the quantum theory allows. The Schrödinger equation then gives the ψ-function for any subsequent time interval. If this is sufficiently large, all angles become (in practice) equally probable. But if an observation is made (e.g. by flashing a torch), a definite angle is found (with sufficient accuracy). This does not prove that the angle had a definite value before it was observed—but we believe this to be the case, because we are committed to the requirements of reality on the macroscopic scale. Thus, the ψ-function does not express the real state of affairs perfectly in this case. This is what I call “incomplete description.”So far, you may not object. But you will probably take the position that a complete description would be useless because there is no mathematical relationship for such a case. I do not say that I am able to disprove this view. But my instinct tells me that a complete formulation of the relationships is tied up with complete description of its factual state. I am convinced of this although, up to now, success is against it. I also believe that the current formulation is true in the same sense as e.g. thermodynamics, i.e. as far as the concepts used are inadequate. I do not expect to convince you, or anybody else. I just want you to understand the way I think.I see from … your letter that you, too, take the quantum theoretical description as incomplete (referring to an ensemble). But you are, after all, convinced that no (complete) laws exist for a complete description, according to the positivistic maxim: esse est percipi [to be is to be perceived]. Well, this is a programmatic attitude, not knowledge. This is where our attitudes really differ. For the time being, I am alone in my views—as Leibniz was with respect to the absolute space of Newton’s theory.… I have not changed my attitude to the Germans, which, by the way, dates not just from the Nazi period. All human beings are more or less the same from birth. The Germans, however, have a far more dangerous tradition than any of the other so-called civilized nations.Kind regards,Yours,A. E. Born’s 1969 comment: 1 1. M. Born, The Born–Einstein Letters 1916–1955: Friendship, Politics and Physics in Uncertain Times, Macmillan, New York (2005), p. 184 Original letter © Hebrew University of Jerusalem. This is probably the clearest presentation of Einstein’s philosophy of reality. … He calls my way of describing the physical world “incomplete.” In his eyes, that is a flaw which he hopes to see removed, while I am prepared to put up with it. I have in fact always regarded it as a step forward, because an exact description of the state of a physical system presupposes that one can make statements of infinite precision about it, and this seems absurd to me. REFERENCESection:ChooseTop of pageREFERENCE <<CITING ARTICLES1. M. Born, The Born–Einstein Letters 1916–1955: Friendship, Politics and Physics in Uncertain Times, Macmillan, New York (2005), p. 184 Original letter © Hebrew University of Jerusalem. Google Scholar© 2005 American Institute of Physics.

Physics Today•Aug 1, 2005•3 citations

On the Nature of Quantum Geometry

Roger Penrose

@As a way of honoring Professor Wheeler on his sixtieth birthday, I propose to take this opportunity to elaborate upon certain somewhat speculative ideas which I have tried to hint at on occasion, concerning the possible nature of a quantized space-time. The reader will not need to be too discerning to recognize some substantial dierences between the ideas I am proposing here and those which Professor Wheeler has on many occasions so eloquently and forcefully put forward. Nonetheless, there is little doubt in my own mind as to the very great inspirational inuence that Professor Wheeler’s own views have had in the development of several of the thoughts which I am expressing here. To begin with, let me make clear that I do not necessarily mean by \quantized space-time something which could be obtained by applying standard (or even non-standard) techniques of quantization to Einstein’s general theory of relativity. What I wish to say has its roots in something which is really more primitive than either quantum theory or relativity as such. This is the question of the fundamental role played by the mathematical concept of continuum in virtually the whole of accepted present-day physical theory. Not only does the continuum occupy a basic position in our mathematical models of space and time (with the concomitant implication of a continuous nature for many related physical concepts such as velocity, energy, momentum, temperature, etc.), but so also does present-day quantum theory rest crucially on a continuum concept, namely on the two-dimensional complex continuum of probability amplitudes, this being the continuum which also occurs in the superposition law. Let me say at the outset that I am not happy with this state of aairs in physical theory. The mathematical continuum has always seemed to me to contain many features which are really very foreign to physics. This point = @ @

•Jan 1, 1972•43 citations

Reconstructing quantum theory from its possibilistic operational formalism

E. Buffenoir

•Nov 8, 2021•0 citations
Over the last 10 years there has been an explosion of "operational reconstructions" of quantum theory. This is great stuff: For, through it, we come to see the myriad ways in which the quantum formalism can be chopped into primitives and, through clever toil, brought back together to form a smooth whole. An image comes to mind of a brain-teaser puzzle, all sliding and interlocking pieces. There is no doubt that this is invaluable work, particularly for our understanding of the intricate connections between so many quantum information protocols. But to me, it seems to miss the mark for an ultimate understanding of quantum theory; I am left hungry. I still want to know what strange property of matter forces this formalism upon our information accounting. To play on something Einstein once wrote to Max Born, "The quantum reconstructions are certainly imposing. But an inner voice tells me that they are not yet the real thing. The reconstructions say a lot, but do not really bring us any closer to the secret of the `old one'." In this talk, I hope to expand on these points and convey some sense of why I am fascinated with the problem of the symmetric informationally complete POVMs to an extent greater than axiomatic reconstructions.
One critic of Quantum Physics was, reportedly, Albert Einstein, to whom this quote is ascribed: “Quantum mechanics is certainly imposing. But an inner voice tells me that it is not yet the real thing. The theory says a lot, but does not really bring us any closer to the secret of the 'old one'. I, at any rate, am convinced that He does not throw dice”. In this booklet, criticisms towards some claims of some Nobel Prize Laureates in Physics, such as Max Planck, Louis de Broglie, Erwin Schrodinger, Max Born, Werner Heisenberg, Paul Dirac, Richard Feynman, Gerardus 't Hooft, are explained with detailed math.'s physical descriptions as to where these famous physicists were wrong. In Chapter 1 of this booklet it is shown that Maxwell's equations and Classic Physics, can explain some of the phenomena such as the Photoelectric Effect satisfyingly. In Chapter 2 it is explained that, though well encouraging, still taking the Nobel Prizes' money would be unethical and immoral, since that money was initially earned by the sale of dynamite which was also used, unfortunately, for killings. Justice would have been if that money would have been given to its victims or to their surviving families.
Translated by Irene Born Newton-John In this letter to his old friend, now at Edinburgh University, Einstein first responds to Born’s description of a local physician “who wouldn’t hurt a fly, but [states] that no sacrifice is too great [for] the realization of Marxist ideals, not even the destruction of millions of human lives.” And then it’s back to the old quarrel about quantum mechanics. (See Born’s comment below.) Princeton, 15 September 1950Dear Born,… People such as your Bolshevik doctor come by their fantastic attitude as a result of their objection to the harshness, injustice and absurdity of our own social order (escape from reality). If he happened to be living in Russia, no doubt he would be a rebel there as well, only in that case he would take care not to tell you about it. Nevertheless it seems to me that our own people here [in the US] make an even worse job of their foreign policy than the Russians. And the idiotic public can be talked into anything. And they really are very shortsighted, for technological superiority is transitory, and if it comes to an all-out conflict, the decisive factor is sheer numerical superiority.There is nothing analogous in relativity to what I call incompleteness of description in the quantum theory. Briefly it is because the ψ-function is incapable of describing certain qualities of an individual system, whose “reality” none of us doubt (such as a microscopic parameter). Take a (macroscopic) body that can rotate freely about an axis. Its state is fully determined by an angle. Let the initial conditions (angle and angular momentum) be defined as precisely as the quantum theory allows. The Schrödinger equation then gives the ψ-function for any subsequent time interval. If this is sufficiently large, all angles become (in practice) equally probable. But if an observation is made (e.g. by flashing a torch), a definite angle is found (with sufficient accuracy). This does not prove that the angle had a definite value before it was observed—but we believe this to be the case, because we are committed to the requirements of reality on the macroscopic scale. Thus, the ψ-function does not express the real state of affairs perfectly in this case. This is what I call “incomplete description.”So far, you may not object. But you will probably take the position that a complete description would be useless because there is no mathematical relationship for such a case. I do not say that I am able to disprove this view. But my instinct tells me that a complete formulation of the relationships is tied up with complete description of its factual state. I am convinced of this although, up to now, success is against it. I also believe that the current formulation is true in the same sense as e.g. thermodynamics, i.e. as far as the concepts used are inadequate. I do not expect to convince you, or anybody else. I just want you to understand the way I think.I see from … your letter that you, too, take the quantum theoretical description as incomplete (referring to an ensemble). But you are, after all, convinced that no (complete) laws exist for a complete description, according to the positivistic maxim: esse est percipi [to be is to be perceived]. Well, this is a programmatic attitude, not knowledge. This is where our attitudes really differ. For the time being, I am alone in my views—as Leibniz was with respect to the absolute space of Newton’s theory.… I have not changed my attitude to the Germans, which, by the way, dates not just from the Nazi period. All human beings are more or less the same from birth. The Germans, however, have a far more dangerous tradition than any of the other so-called civilized nations.Kind regards,Yours,A. E. Born’s 1969 comment: 1 1. M. Born, The Born–Einstein Letters 1916–1955: Friendship, Politics and Physics in Uncertain Times, Macmillan, New York (2005), p. 184 Original letter © Hebrew University of Jerusalem. This is probably the clearest presentation of Einstein’s philosophy of reality. … He calls my way of describing the physical world “incomplete.” In his eyes, that is a flaw which he hopes to see removed, while I am prepared to put up with it. I have in fact always regarded it as a step forward, because an exact description of the state of a physical system presupposes that one can make statements of infinite precision about it, and this seems absurd to me. REFERENCESection:ChooseTop of pageREFERENCE <<CITING ARTICLES1. M. Born, The Born–Einstein Letters 1916–1955: Friendship, Politics and Physics in Uncertain Times, Macmillan, New York (2005), p. 184 Original letter © Hebrew University of Jerusalem. Google Scholar© 2005 American Institute of Physics.
@As a way of honoring Professor Wheeler on his sixtieth birthday, I propose to take this opportunity to elaborate upon certain somewhat speculative ideas which I have tried to hint at on occasion, concerning the possible nature of a quantized space-time. The reader will not need to be too discerning to recognize some substantial dierences between the ideas I am proposing here and those which Professor Wheeler has on many occasions so eloquently and forcefully put forward. Nonetheless, there is little doubt in my own mind as to the very great inspirational inuence that Professor Wheeler’s own views have had in the development of several of the thoughts which I am expressing here. To begin with, let me make clear that I do not necessarily mean by \quantized space-time something which could be obtained by applying standard (or even non-standard) techniques of quantization to Einstein’s general theory of relativity. What I wish to say has its roots in something which is really more primitive than either quantum theory or relativity as such. This is the question of the fundamental role played by the mathematical concept of continuum in virtually the whole of accepted present-day physical theory. Not only does the continuum occupy a basic position in our mathematical models of space and time (with the concomitant implication of a continuous nature for many related physical concepts such as velocity, energy, momentum, temperature, etc.), but so also does present-day quantum theory rest crucially on a continuum concept, namely on the two-dimensional complex continuum of probability amplitudes, this being the continuum which also occurs in the superposition law. Let me say at the outset that I am not happy with this state of aairs in physical theory. The mathematical continuum has always seemed to me to contain many features which are really very foreign to physics. This point = @ @