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arXiv:1111.3328 · Nature Physics

On the reality of the quantum state

Matthew F. Pusey, Jonathan Barrett, Terry Rudolph

Published May 6, 2012• 798 citations
arXivHTMLPDF
DOI
10.1038/nphys2309

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The visible reality at a given moment is a result of the modification of the quantum states of the observables of some systems from another level of quantum reality. The projection towards the new reality is done by collapsing some states described by simple wave functions or resulting from quantum superpositions. Collapses are also achieved through measurements of observables, influencing quantum phenomena, bringing some phenomena to another level of reality. These can pass from a higher level of quantum reality to another level, effectively measuring certain observables, but also through discoveries, studies, identifying the dynamics of the supply-demand balance from the "cloud" of the market's equilibrium points, the realization of new products or services, etc. That is, the still invisible objects will become visible by extracting them from the original quantum reality with the help of projectors, through collapses. The quantum state of the systems also changes through decoherence, through the interaction with the surrounding environment. In the following, some directions are suggested for the development of models for unitary treatment of objects from different levels of reality.
The key observation about the quantum reality is that it looks as if there is a moment when a probability of a quantum event or events becomes reality for us.However, after careful analysis it looks plausible that what we believe is a definite state in our reality, observed as an outcome of a quantum experiment or experiments, is actually not a definite state.From there, we conclude that quantum world is an active world whose influence lies beyond statistical and permanent determination of reality as we know it.
The persistent debate about the reality of a quantum state has recently come under limelight because of its importance to quantum information and the quantum computing community. Almost all of the deliberations are taking place using the elegant and powerful but abstract Hilbert space formalism of quantum mechanics developed with seminal contributions from John von Neumann. Since it is rather difficult to get a direct perception of the events in an abstract vector space, it is hard to trace the progress of a phenomenon. Among the multitude of recent attempts to show the reality of the quantum state in Hilbert space, the Pusey–Barrett–Rudolph theory gets most recognition for their proof. But some of its assumptions have been criticized, which are still not considered to be entirely loophole free. A straightforward proof of the reality of the wave packet function of a single particle has been presented earlier based on the currently recognized fundamental reality of the universal quantum fields. Quantum states like the atomic energy levels comprising the wave packets have been shown to be just as real. Here we show that an unambiguous proof of reality of the quantum states gleaned from the reality of quantum fields can also provide an explicit substantiation of the reality of quantum states in Hilbert space. Quanta 2020; 9: 37–46.