Direct measurement of the quantum wavefunction

The wavefunction is the complex distribution used to completely describe a quantum system, and is central to quantum theory. But despite its fundamental role, it is typically introduced as an abstract element of the theory with no explicit definition. Rather, physicists come to a working understanding of the wavefunction through its use to calculate measurement outcome probabilities by way of the Born rule. At present, the wavefunction is determined through tomographic methods, which estimate the wavefunction most consistent with a diverse collection of measurements. The indirectness of these methods compounds the problem of defining the wavefunction. Here we show that the wavefunction can be measured directly by the sequential measurement of two complementary variables of the system. The crux of our method is that the first measurement is performed in a gentle way through weak measurement, so as not to invalidate the second. The result is that the real and imaginary components of the wavefunction appear directly on our measurement apparatus. We give an experimental example by directly measuring the transverse spatial wavefunction of a single photon, a task not previously realized by any method. We show that the concept is universal, being applicable to other degrees of freedom of the photon, such as polarization or frequency, and to other quantum systems--for example, electron spins, SQUIDs (superconducting quantum interference devices) and trapped ions. Consequently, this method gives the wavefunction a straightforward and general definition in terms of a specific set of experimental operations. We expect it to expand the range of quantum systems that can be characterized and to initiate new avenues in fundamental quantum theory.     

Scaling laws of marine predator search behaviour

Many free-ranging predators have to make foraging decisions with little, if any, knowledge of present resource distribution and availability. The optimal search strategy they should use to maximize encounter rates with prey in heterogeneous natural environments remains a largely unresolved issue in ecology. Lévy walks are specialized random walks giving rise to fractal movement trajectories that may represent an optimal solution for searching complex landscapes. However, the adaptive significance of this putative strategy in response to natural prey distributions remains untested. Here we analyse over a million movement displacements recorded from animal-attached electronic tags to show that diverse marine predators-sharks, bony fishes, sea turtles and penguins-exhibit Lévy-walk-like behaviour close to a theoretical optimum. Prey density distributions also display Lévy-like fractal patterns, suggesting response movements by predators to prey distributions. Simulations show that predators have higher encounter rates when adopting Lévy-type foraging in natural-like prey fields compared with purely random landscapes. This is consistent with the hypothesis that observed search patterns are adapted to observed statistical patterns of the landscape. This may explain why Lévy-like behaviour seems to be widespread among diverse organisms, from microbes to humans, as a 'rule' that evolved in response to patchy resource distributions.     

Polyadenylation factor CPSF-73 is the pre-mRNA 3'-end-processing endonuclease

Most eukaryotic messenger RNA precursors (pre-mRNAs) undergo extensive maturational processing, including cleavage and polyadenylation at the 3'-end. Despite the characterization of many proteins that are required for the cleavage reaction, the identity of the endonuclease is not known. Recent analyses indicated that the 73-kDa subunit of cleavage and polyadenylation specificity factor (CPSF-73) might be the endonuclease for this and related reactions, although no direct data confirmed this. Here we report the crystal structures of human CPSF-73 at 2.1 A resolution, complexed with zinc ions and a sulphate that might mimic the phosphate group of the substrate, and the related yeast protein CPSF-100 (Ydh1) at 2.5 A resolution. Both CPSF-73 and CPSF-100 contain two domains, a metallo-beta-lactamase domain and a novel beta-CASP (named for metallo-beta-lactamase, CPSF, Artemis, Snm1, Pso2) domain. The active site of CPSF-73, with two zinc ions, is located at the interface of the two domains. Purified recombinant CPSF-73 possesses RNA endonuclease activity, and mutations that disrupt zinc binding in the active site abolish this activity. Our studies provide the first direct experimental evidence that CPSF-73 is the pre-mRNA 3'-end-processing endonuclease.