# On the completeness of quantum mechanics and the interpretation of the state vector

@article{Ghirardi2013OnTC, title={On the completeness of quantum mechanics and the interpretation of the state vector}, author={Giancarlo Ghirardi and Raffaele Romano}, journal={Journal of Physics: Conference Series}, year={2013}, volume={442}, pages={012002} }

Recently, it has been argued that quantum mechanics is complete, and that quantum states vectors are necessarily in one-to-one correspondence with the elements of reality, under the assumptions that quantum theory is correct and that measurement settings can be freely chosen. In this work, we argue that the adopted form of the free choice assumption is stronger than needed. In our perspective, there are hidden assumptions underlying these results, which limit their range of validity. We support…

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## References

SHOWING 1-10 OF 34 REFERENCES

About Possible Extensions of Quantum Theory

- Philosophy
- 2013

Recently it has been claimed that no extension of quantum theory can have improved predictive power, the statement following, according to the authors, from the assumptions of free will and of the…

Einstein, Incompleteness, and the Epistemic View of Quantum States

- Philosophy
- 2007

It is shown that for models wherein the quantum state has the status of something real, the failure of locality can be established through an argument considerably more straightforward than Bell’s theorem.

Ontological models predictively inequivalent to quantum theory.

- Philosophy, PhysicsPhysical review letters
- 2013

A model is described which violates the statement that no extension of quantum theory can have improved predictive power under a strong assumption of free choice of the experimental settings and validity of quantum mechanics for almost all states of a bipartite two-level system.

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

- Philosophy
- 1935

Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.

A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II

- Physics
- 1952

In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a…

No extension of quantum theory can have improved predictive power

- PhysicsNature communications
- 2011

This work says that no extension of quantum theory can give more information about the outcomes of future measurements than quantum theory itself, under the assumption that measurements can be chosen freely.

On the Einstein-Podolsky-Rosen paradox

- Physics
- 1964

THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional…

Distinct quantum states can be compatible with a single state of reality.

- PhysicsPhysical review letters
- 2012

This work considers models for quantum systems with measurement outcomes determined by an underlying physical state of the system but where several quantum states are consistent with a single underlying state-i.e., probability distributions for distinct quantum states overlap.

Determination of hidden-variable models reproducing the spin singlet

- Physics
- 2012

The experimental violation of Bell inequality establishes necessary but not sufficient conditions that any theory must obey. Namely, a theory compatible with the experimental observations can satisfy…

Phys

- Rev. Lett. 108, 150402
- 2012