Experimental setup.(A and B) are the energy level diagrams of 171Yb+ and 138Ba+ ion, respectively. Only relevant Raman transitions are shown here. (C) Ion trap in the octagon chamber and schematic diagram for Raman beams. Two different photomultiplier tubes (PMTs) with different spectral responses and filters are used to detect two ions fluorescence independently, which are located at the top and the bottom of the chamber in the actual experimental system. Solid and dashed arrows indicate the directions and the polarizations of 532- and 355-nm laser beams, respectively. In the figure, fYb and fBa are the qubit frequencies of 171Yb+ and 138Ba+, respectively; fz = 1.67 MHz is the frequency of the axial out-of-phase (OOP) mode; and δ is the detuning of the laser from the OOP mode sideband, when δ is zero, then the Raman transition is directly red and blue sideband transitions. For the M-S gate, δ should match to the sideband Rabi frequency and determines the duration of the M-S interaction as 1/δ. δ = 22.0 kHz here. (D) Frequencies of vibrational modes of a single 171Yb+ and a single 138Ba+ ions. Axial OOP mode is used for the Mølmer-Sørensen (M-S) interaction. IP, in-phase mode. Credit: Science Advances (2022). DOI: 10.1126/sciadv.abk1660

Contextuality is essential to explain the power of quantum computers and the security of quantum communications. The study has been published in the journal Science Advances.

"To understand why this is interesting," explains Adán Cabello, "let's use the following game. Sergio and Mario show us their hands, fists clenched. We ask them to open one hand each for a moment. Only one. We check whether the hand contains something or not. In each round of the game, we can ask to open the same hand as many times as we want. After playing many rounds, we find that, in each round, the hand that Sergio has opened either always has something in it or is always empty. And the same goes for Mario. If we assume that, in each round, Sergio and Mario have or do not have something in each of their hands, it can be shown that the sum of certain probabilities has a limit. If we call this sum S, S cannot be greater than 2. However, in our experiment, S is 2.5." How is this possible?

"It is possible," the professor explains, "because Sergio is an ion and Mario is a ion. An ion is an electrically charged atom. In the experiment, the two ions are caught in a trap and different lasers are used to make the measurements (so that they open their hands). In , systems have no properties when they are not measured: properties are relative to measurements."

"This experiment is very important because it is the first time that, on the one hand, questions to Sergio do not alter Mario's answers and vice versa. On the other hand, when using ions, Sergio and Mario always respond. In other experiments (e.g. with photons) they sometimes do not respond. In addition, we can repeat the measurements in any order we wish. It is a unique experiment that allows us to prove that everything happens exactly as quantum physics predicts," says the from the University of Seville. "The fact that we have such precise control over such sensitive systems shows how far we have come."

The shown in the experiment, which refer to as "contextuality," is behind the power of quantum computers to solve problems impossible for today's computers and the possibility of obtaining secure communications.

More information: Pengfei wang, Significant loophole-free test of Kochen-Specker contextuality using two species of atomic ions, Science Advances (2022). DOI: 10.1126/sciadv.abk1660. www.science.org/doi/10.1126/sciadv.abk1660

Journal information: Science Advances