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Odd-parity spin-triplet superconductivity remains difficult to establish experimentally. Now, several distinct magnetic-field-tuned superconducting states—including a possible topological helical phase—have been identified in YbRh₂Si₂.

Experimental measurements of high-order out-of-time-order correlators on a superconducting quantum processor show that these correlators remain highly sensitive to the quantum many-body dynamics in quantum computers at long timescales.

Recently, an orbital Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state was predicted and identified in thin flakes of the transition metal dichalcogenide superconductor 2H-NbSe₂. Here, the authors present experimental evidence of the formation of this orbital FFLO state in bulk 2H-NbSe₂ samples.

Quantum error correction codes protect quantum information, but running algorithms also requires the ability to perform gates on logical qubits. A lattice surgery scheme for fault-tolerant gates has now been demonstrated in a quantum repetition code.

Typical quantum error correcting codes assign fixed roles to the underlying physical qubits. Now the performance benefits of alternative, dynamic error correction schemes have been demonstrated on a superconducting quantum processor.

Physical realizations of qubits are often vulnerable to leakage errors, where the system ends up outside the basis used to store quantum information. A leakage removal protocol can suppress the impact of leakage on quantum error-correcting codes.

Magic state distillation is achieved with logical qubits on a neutral-atom quantum computer using a dynamically reconfigurable architecture for parallel quantum operations.

A study demonstrating increasing error suppression with larger surface code logical qubits, implemented on a superconducting quantum processor.

BaTa₂S₅, which consists of alternating layers of TaS₂ and Ba₂TaS₄, is shown to host a triplet superconducting phase at high magnetic field. This triplet phase emerges from another—more conventional—superconducting state.

Spin liquids are predicted to emerge in materials that combine strong electronic correlations with geometric frustration. Evidence has now been found for a spin liquid state in the triangular-lattice material NaRuO₂.

Transforming a quantum system with high fidelity is usually a trade-off between an increase in speed—thereby minimizing decoherence—and robustness against fluctuating control parameters. Protocols at these two extreme limits are now demonstrated and compared using Bose–Einstein condensates in optical traps.

Analyses of large-scale, multitaxa and long-term thermophilization patterns in forests, grasslands and alpine summits across Europe provide insight into shifts in community composition among different ecosystems in a warming world.

Bosonic bunching of non-interacting atoms enhances atom–light scattering. An experiment now shows that attractive atomic interactions enhance this scattering further, while repulsive ones can completely suppress bosonic stimulation.

The mechanism of superconductivity in layered kagome metals remains unclear, however its coexistence with charge order suggests exotic interpretations. Here the authors study the vortex lattice in the superconducting state of Ta-doped CsV₃Sb₅ with suppressed charge order, suggesting conventional pairing.

Demonstrations of quantum advantage relying on sampling hard-to-compute probability distributions are plagued by difficulties in efficiently confirming the correctness of their output, which is known as the verification problem. Here, the authors use a trapped-ion platform to demonstrate efficient verification of quantum random sampling in measurement-based quantum computing.

Repetition codes running many cycles of quantum error correction achieve exponential suppression of errors with increasing numbers of qubits.

A manufacturable platform for quantum computing with photons is introduced and a set of monolithically integrated silicon-photonics-based modules is benchmarked, demonstrating dual-rail photonic qubits with performance close to thresholds required for operation.

Two below-threshold surface code memories on superconducting processors markedly reduce logical error rates, achieving high efficiency and real-time decoding, indicating potential for practical large-scale fault-tolerant quantum algorithms.

Understanding the solid–electrolyte interphase (SEI) is key to developing safe dendrite-free lithium batteries. Here, by exploiting the electrons in lithium metal to selectively hyperpolarise the NMR signals, the authors reveal the chemistry and spatial distribution of species at the metal–SEI interface.

Quantum supremacy is demonstrated using a programmable superconducting processor known as Sycamore, taking approximately 200 seconds to sample one instance of a quantum circuit a million times, which would take a state-of-the-art supercomputer around ten thousand years to compute.

Achieving high conductivity in metal-organic solids can be challenging, due to the difficulty of obtaining a good overlap between the d-orbitals of the metal and the π-orbitals of the organic molecule. Here, the authors present two coordination solids, VCl₂(pyrazine)₂ and TiCl₂(pyrazine)₂, with remarkably different electrical conductivity. While the former is an insulator, the latter displays the highest conductivity of any octahedrally coordinated metal ions based metal-organic solid.

Three-dimensional topological insulators have become a research focal point on topological quantum matter. Here, the authors propose the non-Hermitian analogue, the exceptional topological insulator, with anomalous surface states only existing within the topological bulk embedding.

A method combining scanning transmission electron microscopy with high-resolution electron energy-loss spectroscopy enables the observation of magnons and their dispersion, and provides a way to examine magnetic inhomogeneities with nanometre spatial resolution.

Our experimental proof of chiral phonons demonstrates a degree of freedom in condensed matter that is of fundamental importance and opens the door to exploration of emergent phenomena based on chiral bosons.

Condensation in the regime of weakly interactions is of fundamental importance. Here, the authors study the condensation process one atom at a time, showing the forces driving the behaviour of xenon atoms as they condense into aggregate structures in nanoscale pores.

In this study the authors consider the structural variants (SVs) present within cancer cases of the ICGC/TCGA Pan-Cancer Analysis of Whole Genomes (PCAWG) Consortium. They report hundreds of genes, including known cancer-associated genes for which the nearby presence of a SV breakpoint is associated with altered expression.

Silicon-based spin qubits are promising candidates for a scalable quantum computer. Here the authors demonstrate the violation of Bell’s inequality in gate-defined quantum dots in silicon, marking a significant advancement that showcases the maturity of this platform.

Spin-momentum locking is a fundamental property of condensed matter systems. Here, the authors evidence parallel Weyl spin-momentum locking of multifold fermions in the chiral topological semimetal PtGa.

Two-qubit operations exceeding 99% fidelity have been demonstrated by silicon devices made with standard semiconductor tooling in a 300-mm foundry environment.

Wavepacket dynamics around conical intersections are influenced by geometric phase, which can affect chemical reaction outcomes but has only been observed through indirect signatures. Now, by engineering a controllable conical intersection in a trapped-ion quantum simulator, the destructive wavepacket interference caused by a geometric phase has been observed.

Hybrid quantum technologies synergistically combine different types of systems with complementary strengths. Here, the authors show monolithic integration and control of quantum dots and the emitted single photons in a surface acoustic wave-driven GaAs integrated quantum photonic circuit.

Experimental demonstration of quantum speedup that scales with the system size is the goal of near-term quantum computing. Here, the authors demonstrate such scaling advantage for a D-Wave quantum annealer over analogous classical algorithms in simulations of frustrated quantum magnets.

Optical lattices, generated by interfering laser beams, provide a platform for observing condensed-matter phenomena in ultracold-atom systems. By extending the lattice idea to a multimode cavity, it should be possible to observe even more complex effects, such as frustration, crystallization, glass phases and supersolidity.

Far-field mid-infrared spectroscopy reveals both the electroluminescence of hyperbolic phonon polaritons of hexagonal boron nitride excited by strongly biased graphene, and the associated radiative energy transfer through the material.

Strong effective photon–photon interactions (Kerr-like optical nonlinearity) via the Rydberg blockade phenomenon in Cu₂O-microcavity achieved under pulsed resonant excitation enabling fundamental studies of strongly correlated polaritonic states and quantum optical applications.

Recent experiments reported the Kondo effect in 1H/1T dichalcogenide hetero-bilayers. Crippa et al. re-examine this interpretation using ab initio calculations and dynamical mean-field theory demonstrating strong charge transfer sensitive to the interlayer separation, indicative of a doped Mott insulator regime.

Homogeneous Pt-group metal-based complexes make up the majority of C-H bond activation catalysts, but they are characterized by high cost and low abundance. Here, the authors report atomically dispersed titanium-aluminum-boron nanopowder for low-temperature catalytic activation of aliphatic C-H bonds via the element-specific cooperative mechanistic roles.

Exciton condensation has been observed in various three-dimensional (3D) materials. Now, monolayer WTe₂—a 2D topological insulator—also shows the phenomenon. Strong electronic interactions allow the excitons to form and condense at high temperature.

Multi-omics datasets pose major challenges to data interpretation and hypothesis generation owing to their high-dimensional molecular profiles. Here, the authors develop ActivePathways method, which uses data fusion techniques for integrative pathway analysis of multi-omics data and candidate gene discovery.

The authors study a two-dimensional semiconductor (such as graphene) subjected to a perpendicular magnetic field and a one-dimensional modulation from a substrate. They find that Coulomb interactions induce charge-density-wave instabilities, resulting in interaction-induced Hall crystals that can have tunable Chern number greater than one.

In this Resource, the authors present an open-source extensible benchmark tool, Benchpress, for evaluating the performance of mainstream quantum computing software. Benchpress was demonstrated to perform over 1,000 tests with up to 930 qubits to compare the performance of quantum software, providing insight into how to best use current programming stacks.

Understanding deregulation of biological pathways in cancer can provide insight into disease etiology and potential therapies. Here, as part of the PanCancer Analysis of Whole Genomes (PCAWG) consortium, the authors present pathway and network analysis of 2583 whole cancer genomes from 27 tumour types.