The Reduction of the Wave-Function and the Reduction of Entropy

Давид Николаевич Клышко

Arkadiusz Orłowski

Quantum-mechanical entropies of position and momentum operators in a given state are shown to be reasonable and sensitive measures for squeezing of quantum fluctuations. It is shown to be true not only for states having Gaussian wave functions but also for more general, both pure and mixed, quantum states. A simple proof that the squeezing exhibited by the variance is always accompanied by a corresponding entropy reduction below the entropy vacuum level is given. These results show that the information entropy is not only a theoretically satisfactory concept but can also be useful as a tool for more practical quantum-optics applications.

Rahmani, Faramarz, Sadeghi, Mehdi

In this research, we study the gravitational reduction of the wave function, which has been investigated in standard quantum mechanics. As a new look at the problem, we investigate the reduction of the wave function by studying the dynamics of the particle motion, which can be defined in the quantum Bohmian framework. In this regard, quantities such as the critical mass of reduction, reduction time, and reduction temperature, which are similar to the Unruh temperature, are systematically obtained.

David Z. Albert

Ling Hu, Ni, Qiang

Measurements cause quantum wave functions to collapse. In tackling this elusive issue, we embark on the exploration of entropy exhibited by single-qubit quantum systems. Our findings surprisingly challenge the conventional law of entropy never diminishing. We then interpret the confusing retrocausality phenomenon in Wheeler's delayed-choice experiments. The entropy reduction and the quantum retrocausality can be combined to investigate how measurements lead to collapse - A close link is shown between quantum wave function collapse and the ubiquity of photons in the environments. Next, by studying the overlooked phenomena of quantum wave function collapse, we find that quantum eigenstate sets may be artificially controlled rather than randomly selected. Our study uncovers an often overlooked aspect of quantum wave function collapse - a potential avenue for deliberate manipulation of quantum eigenstate sets, deviating from the conventional notion of random selection. Leveraging this novel insight, we propose an innovative method for direct information transmission utilizing photon wave function collapse and entanglement. Given the lack of efficient approaches for employing quantum mechanisms in information transfer, our research aims to push the boundaries of quantum mechanics and contribute to advancing this field.