Observables of asymptotically vanishing correlations, states at infinity and quantum separability

2012

Found Phys

In our previous work, a new approach to the notorious problem of quantum measurement was proposed. Existing treatments of the problem were incorrect because they ignored the disturbance of measurement by identical particles and standard quantum mechanics had to be modified to obey the cluster separability principle. The key tool was the notion of separation status. Changes of separation status occur during preparations, registrations and scattering on macroscopic targets. Standard quantum mechanics does not provide any correct rules that would govern these changes. This gives us the possibility to add new rules to quantum mechanics that would satisfy the objectification requirement. The method of the present paper is to start from the standard unitary evolution and then introduce minimal corrections.Several representative examples of registration and particle scattering on macroscopic targets are analysed case by case in order to see their common features. The resulting general Rule of Separation Status Changes is stated in the Conclusion.

“…2.12. Let us explain briefly what is the difference in the aims for which local observables are used in [3,8]. Wan's first main idea is to consider measurement as a scattering process.…”

Section: Introductionmentioning

confidence: 99%

“…The idea that standard quantum theory must be corrected because all standard observables are global while no registration apparatus can control the whole space has also been put forward by K. K. Wan and his collaborators [8] and [9], Sec. 2.12.…”

Section: Introductionmentioning

confidence: 99%

Changes of Separation Status During Registration and Scattering

2012

Found Phys

“…We introduce an important locality property of observables [43]. A similar local condition on observables has been introduced in [94,95]:…”

Section: Cluster Separabilitymentioning

confidence: 99%

Quantum Models of Classical World

2013

Entropy

This paper is a review of our recent work on three notorious problems of non-relativistic quantum mechanics: realist interpretation, quantum theory of classical properties, and the problem of quantum measurement. A considerable progress has been achieved, based on four distinct new ideas. First, objective properties are associated with states rather than with values of observables. Second, all classical properties are selected properties of certain high entropy quantum states of macroscopic systems. Third, registration of a quantum system is strongly disturbed by systems of the same type in the environment. Fourth, detectors must be distinguished from ancillas and the states of registered systems are partially dissipated and lost in the detectors. The paper has two aims: a clear explanation of all new results and a coherent and contradiction-free account of the whole quantum mechanics including all necessary changes of its current textbook version.

“…We introduce an important locality property of observables [4] (for generalisation to composite systems, see [5]; a similar local condition on observables has been introduced in [11,12]):…”

Section: Separation Statusmentioning

confidence: 99%

“…However, the second change can only be accomplished (or circumvented) with help of new assumptions that must be added to quantum mechanics such as the Everett interpretation in the case of decoherence, see [1,15]. For a discussion of super-selection methods such as Wan's [11], see [7].…”

Section: Registrationmentioning

confidence: 99%

Emergence of classical theories from quantum mechanics

2012

J. Phys.: Conf. Ser.

Three problems stand in the way of deriving classical theories from quantum mechanics: those of realist interpretation, of classical properties and of quantum measurement. Recently, we have identified some tacit assumptions that lie at the roots of these problems. Thus, a realist interpretation is hindered by the assumption that the only properties of quantum systems are values of observables. If one simply postulates the properties to be objective that are uniquely defined by preparation then all difficulties disappear. As for classical properties, the wrong assumption is that there are arbitrarily sharp classical trajectories. It turns out that fuzzy classical trajectories can be obtained from quantum mechanics by taking the limit of high entropy. Finally, standard quantum mechanics implies that any registration on a quantum system is disturbed by all quantum systems of the same kind existing somewhere in the universe. If one works out systematically how quantum mechanics must be corrected so that there is no such disturbance, one finds a new interpretation of von Neumann's "first kind of dynamics", and so a new way to a solution of the quantum measurement problem. The present paper gives a very short review of this work.