# The Oxford Questions on the foundations of quantum mechanics

Quantum mechanics and relativity constitute the two main revolutions in physics on the twentieth century. Furthermore, the counterintuitive character of quantum mechanics yields to a rich branch of different possible interpretations, and there are still many open questions. Not solving, but just defining these questions, was the main purpose of a conference entitled “Quantum physics and the Nature of Reality”, that took place in 2011. The conference participants included theoreticians, experimentalists and philosophers. Also, during the conference a survey regarding the foundations of quantum mechanics was performed ^{1}.

The questions proposed by the participants came to be known as the *Oxford Questions *^{2}. The first three categories of questions are displayed in Box 1.

The Oxford Questions.(1) Time, irreversibility, entropy and information(a) Is irreversibility fundamental for describing the classical world? (b) How is irreversibility involved in quantum measurement? (c) What can we learn about quantum physics by using the notion of information? ## (2) The quantum-classical relationships(a) Does the classical world emerge from the quantum, and if so which concepts are needed to describe this emergence? (b) How should we understand the transition from observation to informed action? (c) How can a single-world realistic interpretation of quantum theory be compatible with non-locality and special relativity? ## (3) Experiments to probe the foundations of quantum physics(a) What experiments can probe macroscopic superpositions, including tests of Leggett-Garg inequalities? (b) What experiments are useful for large complex systems, including technological and biological? (c) How can the progressive collapse of the wave function be experimentally monitored? |

Box 1. | Credit: G.A.D. Briggs et al (2013) |

## Time, irreversibility, entropy and information

The problem of the arrow of time is an old, but still interesting, problem. How can we distinguish future from past and why can we travel only in one direction are questions far from trivial. Strongly related with this problem is the second law of thermodynamics, which states that there is one extensive magnitude, entropy, which can never be reduced in an isolated system. If during a process entropy grows this is considered an irreversible process, as the system cannot spontaneously go back to its original state. On the other hand the evolution of a quantum system is given by a time-reversible equation, the Schrödinger equation, so the main question is where the irreversibility comes from.

One possible option is that irreversibility comes from the measurement process. During measurements quantum systems collapse to a certain value and that can introduce some irreversibility in its evolution. Recently, Aharonov et al, have study the relation of measurement outcomes and time evolution ^{3}.

The third question regards to a very recent field of study, where pure informational principles are used to obtain physical results. This method has already been used to derive entanglement relations starting from pure informational assumptions ^{4}. These results encourage the search for a derivation of quantum mechanics from pure informational principles.

## The quantum-classical relationships

Quantum mechanics and classical physics are very different theories. One of the main differences is the fact that in classical mechanics all properties of any systems are well defined, but in quantum mechanics things are very different. As we live in a classical world and quantum mechanics is supposed to be the theory that describe the components of this world the question is clear: How does the classical world emerge from the quantum one? This problem is sometimes also called *the measurement problem*.

In this direction there are many attempts to model the quantum to classical transition. One of the most accepted one is called decoherence (see the results of the poll). By this model the classical world comes from the interaction of the quantum system with its environment to Classical—Revisited. http://arxiv.org/pdf/quant-ph/0306072v1.pdf (2003) ^{5}. In any case, as the poll shows, there is no full agreement regarding this point and the quantum to classical transition is still considered an important problem by some of the experts.

Finally, also the relation between the collapse of the wave function and relativity is a broad field of study. As the measurement process can affect particles far away from the measured one, the speed of transmission of this collapse should, in principle, be measurable.

## Experiments to probe the foundations of quantum physics

As physics is an experimental science, the foundations of quantum mechanics are strongly dependent on recent experiments. In this direction many experiments try to determine the maximum system size where quantum effects are present. Quantum interference has been probed to exist in molecules up to 430 atoms ^{6}, but the upper limit is undetermined yet.

Another fruitful field of study for experimentalists are the quantum effects in biological systems ^{7}. These experiments are interesting because these systems are in a warm and dirty environment, but they can preserve the quantum character of a system time enough for making use of it. That has inspired new lines of research in order to control and use this kind of effects in human-designed devices.

The measurement problem, itself, is also interesting from an experimental perspective. If measuring a quantum system affects it, can this effect be monitored? Is the speed of this collapse infinite or finite? These are still open questions in the experimental community.

## References

- D. Manzano. The ongoing debate about the foundations of quantum mechanics. Mapping Ignorance, January (2013) ↩
- Briggs G.A.D., Butterfield J.N. & Zeilinger A. (2013). The Oxford Questions on the foundations of quantum physics, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2157) 20130299-20130299. DOI: 10.1098/rspa.2013.0299 ↩
- Y. Aharonov, S. Popescu and J. Tollaksen, A time-symmetric formulation of quantum mechanics. Physics Today 63, 11:27 (2010). ↩
- M. Pawlowski, T. Paterek, D. Kaszlikowski, V. Scarani, . Winter2,3 & Marek Zukowski, Information causality as a physical principle. Nature 461:1101 (2009) ↩
- W.H. Zurek. Decoherence and the Transition from Quantum ↩
- S. Gerlich, S. Eibenberger, M. Tomandl, S. Nimmrichter, K. Hornberger, P.J. Fagan, J. Tuxen, M. Mayor and M. Ardnt. Quantum interference of large organic molecules. Nature Communications 2, 263 (2011) ↩
- N. Lambert et al Quantum Biology. Nature Physics 9, 10 (2013) ↩