arXiv:quant-ph/0201002 · Physical Review Letters

Comment on “No-Signaling Condition and Quantum Dynamics”

Pavel Bóna

Published May 21, 2003• 5 citations

Abstract

This paper contains a criticism of the article: Ch. Simon, V. Buzek and N. Gisin: ``No-Signaling Condition and Quantum Dynamics'', Phys. Rev. Lett. 87 (2001) 170405, containing a proposal of adoption into quantum mechanics (QM) a new basic axiom. This axiom was declared to imply linearity of time evolution in QM on the basis of kinematic assumptions only. It is shown why, under the considered conditions, the axiom called ``no-signaling condition'' is not effective.

DOI: 10.1103/physrevlett.90.208901

Related papers

Critique of "No-Signaling Condition and Quantum Dynamics"

George Svetlichny

We comment on the article of Ch. Simon, V. Buzek and N. Gisin: ``No-Signaling Condition and Quantum Dynamics'', Phys. Rev. Lett. 87 (2001) 170405, which argues that linearity of quantum mechanics follows from lack of superluminal signals and some usual hypotheses about measurements. We argue that such assumptions in the end are ineffective as an explanation of the linearity of quantum mechanics.

arXiv:quant-ph/0208049Aug 7, 20023 citations

No-faster-than-light-signaling implies linear evolution. A re-derivation

Angelo Bassi, Kasra Hejazi

Abstract There is a growing interest, both from the theoretical as well as experimental side, to test the validity of the quantum superposition principle, and of theories which explicitly violate it by adding nonlinear terms to the Schrödinger equation. We review the original argument elaborated by Gisin (1989 Helv. Phys. Acta 62 363), which shows that the non-superluminal-signaling condition implies that the dynamics of the density matrix must be linear. This places very strong constraints on the permissible modifications of the Schrödinger equation, since they have to give rise, at the statistical level, to a linear evolution for the density matrix. The derivation is done in a heuristic way here and is appropriate for the students familiar with the textbook quantum mechanics and the language of density matrices.

arXiv:1411.1768European Journal of PhysicsAug 4, 201540 citations

Quantum theory: kinematics, linearity and no-signaling condition

Mário Ziman, Stelmachovic, Peter

We show that the linearity of an evolution of Quantum Mechanics follows from the definition of kinematics. The same result is obtained for an arbitrary theory with the state space that includes mixtures of different preparations. Next, we formulate the non-signaling theorem and show that the theorem poses no additional restriction on Quantum Mechanics provided the kinematics is given. We also discuss validity of the postulate for the case of more general theories.

arXiv:quant-ph/0211149Nov 22, 20021 citation

Comment on “Classical interventions in quantum systems II. Relativistic invariance”

Hrvoje Nikolić

In a recent paper [Phys. Rev. A 61, 022117 (2000)], A. Peres argued that quantum mechanics is consistent with special relativity by proposing that the operators that describe time evolution do not need to transform covariantly, although the measurable quantities need to transform covariantly. We discuss the weaknesses of this proposal.

arXiv:quant-ph/0109120Physical Review ANov 9, 20012 citations

Comment on “Reduced System Dynamics from theN-Body Schrödinger Equation”

Lajos Diósi

We argue that the "reduced wave function", proposed recently [Phys.Rev.Lett. {\bf 75}, 2255 (1995)], contains conditional and restricted information on the reduced system. The concept of "reduced wave function" can thus not represent a relevant alternative to the common reduced dynamics methods.

arXiv:quant-ph/9509020Physical Review LettersApr 22, 19961 citation

Comment on “Arrival time in quantum mechanics” and “Time of arrival in quantum mechanics”

Jerzy Kijowski

Contrary to claims contained in papers by Grot, Rovelli, and Tate [Phys. Rev. A 54, 4676 1996)] and Delgado and Muga [Phys. Rev. A 56, 3425 (1997)], the ``time operator,'' which I have constructed [Rep. Math. Phys. 6, 361 (1974)] in an axiomatic way, is a self-adjoint operator existing in a usual Hilbert space of (nonrelativistic or relativistic) quantum mechanics.

Physical Review AJan 1, 199945 citations