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AlphaTensor–Quantum addresses three main challenges that go beyond the capabilities of AlphaTensor25 when applied to this problem. First, it optimizes the symmetric (rather than the standard) tensor rank; this is achieved by modifying the RL environment and actions to provide symmetric (Waring) decompositions of the tensor, which has the beneficial side effect of reducing the action search space. Second, AlphaTensor–Quantum scales up to large tensor sizes, which is a requirement as the size of the tensor corresponds directly to the number of qubits in the circuit to be optimized; this is achieved by a neural network architecture featuring symmetrization layers. Third, AlphaTensor–Quantum leverages domain knowledge that falls outside of the tensor decomposition framework; this is achieved by incorporating gadgets (constructions that can save T gates by using auxiliary ancilla qubits) through an efficient procedure embedded in the RL environment.

We demonstrate that AlphaTensor–Quantum is a powerful method for finding efficient quantum circuits. On a benchmark of arithmetic primitives, it outperforms all existing methods for T-count optimization, especially when allowed to leverage domain knowledge. For multiplication in finite fields, an operation with application in cryptography34, AlphaTensor–Quantum finds an efficient quantum algorithm with the same complexity as the classical Karatsuba method35. This is the most efficient quantum algorithm for multiplication on finite fields reported so far (naive translations of classical algorithms introduce overhead36,37 due to the reversible nature of quantum computations). We also optimize quantum primitives for other relevant problems, ranging from arithmetic computations used, for example, in Shor’s algorithm38, to Hamiltonian simulation in quantum chemistry, for example, iron–molybdenum cofactor (FeMoco) simulation39,40. AlphaTensor–Quantum recovers the best-known hand-designed solutions, demonstrating that it can effectively optimize circuits of interest in a fully automated way. We envision that this approach can accelerate discoveries in quantum computation as it saves the numerous hours of research invested in the design of optimized circuits.

AlphaTensor–Quantum can effectively exploit the domain knowledge (provided in the form of gadgets with state-of-the-art magic-state factories12), finding constructions with lower T-count. Because of its flexibility, AlphaTensor–Quantum can be readily extended in multiple ways, for example, by considering complexity metrics other than the T-count such as the cost of two-qubit Clifford gates or the qubit topology, by allowing circuit approximations, or by incorporating new domain knowledge. We expect that AlphaTensor–Quantum will become instrumental in automatic circuit optimization with new advancements in quantum computing.

Firefly’s Blue Ghost Mission 1 set a new benchmark for commercial lunar exploration, lasting longer than any previous private mission and delivering 10 NASA instruments to the Moon. The mission achieved several firsts, including the deepest robotic thermal probe on another planetary body and the

Quantum gravity is the missing link between general relativity and quantum mechanics, the yet-to-be-discovered key to a unified theory capable of explaining both the infinitely large and the infinitely small. The solution to this puzzle might lie in the humble neutrino, an elementary particle with no electric charge and almost invisible, as it rarely interacts with matter, passing through everything on our planet without consequences.

For this very reason, neutrinos are difficult to detect. However, in rare cases, a neutrino can interact, for example, with water molecules at the bottom of the sea. The particles emitted in this interaction produce a “blue glow” known as Čerenkov radiation, detectable by instruments such as KM3NeT.

The KM3NeT (Kilometer Cube Neutrino Telescope) is a large underwater observatory designed to detect neutrinos through their interactions in water. It is divided into two detectors, one of which, ORCA (Oscillation Research with Cosmics in the Abyss), was used for this research. It is located off the coast of Toulon, France, at a depth of approximately 2,450 meters.

Two different teams of astronomers have detected oxygen in the most distant known galaxy, JADES-GS-z14-0. The discovery, reported in two separate studies, was made possible thanks to the Atacama Large Millimeter/submillimeter Array (ALMA), in which the European Southern Observatory (ESO) is a partner. This record-breaking detection is making astronomers rethink how quickly galaxies formed in the early universe.

Discovered last year, JADES-GS-z14-0 is the most distant confirmed galaxy ever found: it is so far away, its light took 13.4 billion years to reach us, meaning we see it as it was when the universe was less than 300 million years old, about 2% of its present age.

The new oxygen detection with ALMA, a telescope array in Chile’s Atacama Desert, suggests the galaxy is much more chemically mature than expected.

“Our successful PDR is a testament to the expertise and dedication of our team,” Starlab CEO Tim Kopra said in the statement. “This milestone confirms that our space station design is technically sound and safe for astronaut crewed operations. Now, with our partners, we shift our focus to the full-scale development of the station, including the manufacturing of critical hardware and software integration.”

The 12,000-cubic-foot (340-cubic-meter) Starlab will be fitted with a robotic arm and a set of racks for microgravity experiments to enable companies and researchers to develop new products in space. Voyager also hopes to seal a contract with NASA to host the agency’s astronauts.

Physicists have measured a nuclear reaction that can occur in neutron star collisions, providing direct experimental data for a process that had previously only been theorized. The study, led by the University of Surrey, provides new insight into how the universe’s heaviest elements are forged—and could even drive advancements in nuclear reactor physics.

Working in collaboration with the University of York, the University of Seville, and TRIUMF, Canada’s national particle accelerator center, the breakthrough marks the first-ever measurement of a weak r-process reaction cross-section using a radioactive ion beam, in this case studying the 94 Sr(α, n)97 Zr reaction. This is where a radioactive form of strontium (strontium-94) absorbs an (a nucleus), then emits a neutron and transforms into zirconium-97.

The study has been published in Physical Review Letters.

The collective motion of bacteria—from stable swirling patterns to chaotic turbulent flows—has intrigued scientists for decades. When a bacterial swarm is confined in small circular space, stable rotating vortices are formed. However, as the radius of this confined space increases, the organized swirling pattern breaks down into a turbulent state.

This transition from ordered to chaotic flow has remained a long-standing mystery. It represents a fundamental question not only in the study of bacterial behavior but also in classical fluid dynamics, where understanding the emergence of turbulence is crucial for both controlling and utilizing complex flows.

In a recent study published in Proceedings of the National Academy of Sciences on March 14, 2025, a research team led by Associate Professor Daiki Nishiguchi from the Institute of Science Tokyo, Japan, has revealed in detail how bacterial swarms transition from organized movement to chaotic flow. Combining large-scale experiments, computer modeling, and , the team observed and explained previously unknown intermediate states that emerge between order and turbulence.