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Quantum computers achieve a speed-up by placing quantum bits (qubits) in superpositions of different states. However, it has recently been appreciated that quantum mechanics also allows one to ‘superimpose different operations’. Furthermore, it has been shown that using a qubit to coherently control the gate order allows one to accomplish a task—determining if two gates commute or anti-commute—with fewer gate uses than any known quantum algorithm. Here we experimentally demonstrate this advantage, in a photonic context, using a second qubit to control the order in which two gates are applied to a first qubit. We create the required superposition of gate orders by using additional degrees of freedom of the photons encoding our qubits. The new resource we exploit can be interpreted as a superposition of causal orders, and could allow quantum algorithms to be implemented with an efficiency unlikely to be achieved on a fixed-gate-order quantum computer. It has been conjectured that not only states but also quantum operations can be placed in a superposition of causal order. Here, the authors use a qubit superpose the order in which two photonic gates are applied, which is shown to enable a more efficient detection of their commutation relations.

In quantum Shannon theory, transmission of information is enhanced by quantum features. Up to very recently, the trajectories of transmission remained fully classical. Recently, a new paradigm was proposed by playing quantum tricks on two completely depolarizing quantum channels i.e., using coherent control in space or time of the two quantum channels. We extend here this control to the transmission of information through a network of an arbitrary number N of channels with arbitrary individual capacity i.e., information preservation characteristics in the case of indefinite causal order. We propose a formalism to assess information transmission in the most general case of N channels in an indefinite causal order scenario yielding the output of such transmission. Then, we explicitly derive the quantum switch output and the associated Holevo limit of the information transmission for N = 2 , N = 3 as a function of all involved parameters. We find in the case N = 3 that the transmission of information for three channels is twice that of transmission of the two-channel case when a full superposition of all possible causal orders is used.

We uncover new features on the study of a two-level atom interacting with one of two cavities in a coherent superposition. The Jaynes-Cummings model is used to describe the atom–field interaction and to study the effects of quantum indefiniteness on such an interaction. We show that coherent control of the two cavities in an undefined manner allows novel possibilities to manipulate the atomic dynamics on demand which are not achievable in the conventional way. In addition, it is shown that the coherent control of the atom creates highly entangled states of the cavity fields taking a Bell-like or Schrödinger-cat-like state form. Our results are a step forward to understand and harness quantum systems in a coherent control, and open a new research avenue in the study of atom–field interaction exploiting quantum indefiniteness.

In standard quantum mechanics, complex numbers are used to describe the wavefunction. Although this has so far proven sufficient to predict experimental results, there is no theoretical reason to choose them over real numbers or generalizations of complex numbers, that is, hyper-complex numbers. Experiments performed to date have proven that real numbers are insufficient, but the need for hyper-complex numbers remains an open question. Here we experimentally probe hyper-complex quantum theories, studying one of their deviations from complex quantum theory: the non-commutativity of phases. We do so by passing single photons through a Sagnac interferometer containing both a metamaterial with a negative refractive index, and a positive phase shifter. To accomplish this we engineered a fishnet metamaterial to have a negative refractive index at 780 nm. We show that the metamaterial phase commutes with other phases with high precision, allowing us to place limits on a particular prediction of hyper-complex quantum theories. Hyper-complex quantum theories are generalizations of quantum mechanics where amplitudes are generalized complex numbers. Here the authors study phase commutation in a photonic experiment, reporting consistency with standard quantum mechanics and placing precise bounds on hyper-complex theories.

Quantum Fisher information is the principal tool used to give the ultimate precision bound on the estimation of parameters for quantum channels. In this work, we present analytical expressions for the quantum Fisher information with three noisy channels for the case where the channels are in superposition of causal orders. We found that the quantum Fisher information increases as the number of causal orders increases for certain combinations. We also show that certain combinations of causal orders attain higher precision on bounds than others for the same number of causal orders. Based on our results, we chose the best combinations of causal orders with three channels for probing schemes using indefinite causal structures.

Aims The anti-inflammatory effects of the polyphenol resveratrol in patients with type 2 diabetes mellitus (T2DM) are controversial. Its role on pentraxin 3 (PTX3) concentrations, a human acute phase protein, has never been evaluated. Our aim was to determine whether a two-dosage resveratrol supplementation (500 and 40 mg/day) has an impact on PTX3 values in T2DM patients from a double-blind randomized placebo-controlled trial. Variations in total antioxidant status (TAS) were evaluated too. Methods A total of 192 T2DM patients were randomized to receive resveratrol 500 mg/day (Resv 500 arm), resveratrol 40 mg/day (Resv 40 arm) or placebo for 6 months. At baseline and at the trial end, PTX3 and TAS values were determined. Results A dose-dependent increase in PTX3 concentrations of 4.7% (Resv 40 arm) and 26.3% (Resv 500 arm), and 8.0% reduction after placebo were found. Adjusted mean differences of change versus placebo were 0.16 (95% CI 0.01–0.32) and 0.25 (0.09–0.42) in the Resv 40 and Resv 500 arms, respectively. At subgroup analyses, lower diabetes duration, aspirin, alcohol use, younger age, female gender, smoking (Resv 500 arm) and female gender and aspirin use (Resv 40 arm) were associated with higher PTX3 increments. A dose-dependent increment in TAS values in the resveratrol arms (1.4 and 6.4% for Resv 40 and Resv 500, respectively), and a reduction in placebo arm (−8.9%) were observed. Adjusted mean differences of change were 28.5 (95% CI 10.1–46.8) and 44.8 (25.4–64.1) in the Resv 40 and Resv 500 arms, respectively. Conclusion Resveratrol supplementation increased PTX3 and TAS levels in a dose-dependent manner in T2DM patients. At present, potential clinical implications of these results remain unclear. ClinicalTrials.gov Identifier NCT02244879.

Melanomacrophage centres (MMCs) are formed by macrophage aggregates containing pigments such as hemosiderin, melanin and lipofuscin. MMCs are found in animals such as reptiles, amphibians and, mainly, fishes, in organs such as the kidney, spleen, thymus and liver. In teleost fish, several functions have been attributed to MMCs, including the capture and storage of cations, the phagocytosis of cellular debris and immunological reactions. As the use of MMCs has been suggested as a tool for the assessment of environmental impacts, our aim has been to describe the various metabolic processes performed by MMCs in diverse organs (liver and spleen) by using the teleost Prochilodus argenteus as an animal model. MMCs from the liver and spleen were assessed by histochemistry, transmission electron microscopy, scanning electron microscopy, X-ray microanalysis techniques and biochemical assay for N-acetylglucosaminidase activity. The data showed metabolic differences in MMCs between the liver and spleen of P. argenteus in their morphometric characteristics and biochemical and elemental composition. The implications of these findings are discussed, focusing on their role in organ metabolism.