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Stable and robust topological edge modes are observed at finite temperatures in an array of 100 programmable superconducting qubits because of emergent symmetries present in the prethermal regime of this system.

Quantum speed limits are fundamental constraints on the speed of quantum state evolution. Here, the authors observe the known maximal quantum speed limits for few and many-body states on a superconducting quantum processor and identify the minimal quantum speed limits, which are less common than maximal ones.

The use of quantum simulators for studying non-equilibrium quantum transport has been limited. Here the authors demonstrate the steady quantum transport between many-body qubit baths on a superconducting quantum processor, revealing insights into pure-state statistical mechanics for nonequilibrium quantum systems.

The Greenberger-Horne-Zeilinger states are multipartite entangled quantum states with strong non-local entanglement. Here the authors generate large-scale states of this type with up to 60 qubits and show that discrete time crystals can effectively protect such fragile states.

Recently, there have been proposals to extend the concept of time crystals to topological order. Here the authors observe a prethermal topologically ordered time crystal on a superconducting quantum processor, where discrete time-translation symmetry breaking manifests for nonlocal rather than local observables.

Superconducting qubits have been used to realize a quantum many-body state that is capable of universal topological quantum computation.

Some many-body problems are challenging to solve in real space, but have a convenient Fock-space representation. A superconducting qubit experiment now demonstrates the benefits of this approach for the study of quantum dynamics and criticality.

Faithful transfer of quantum states between different parts of a single complex quantum circuit will become more and more important as quantum computing devices grow in size. Here, the authors transfer single-qubit excitations, two-qubit entangled states, and two excitations across a 6 × 6 superconducting qubit device.

Many-body quantum systems that escape thermalization are promising candidates for quantum information applications. A weak-ergodicity-breaking mechanism—quantum scarring—has now been observed with superconducting qubits in unconstrained models.

Signatures of non-equilibrium Floquet SPT phases with a programmable superconducting quantum processor are observed in which the discrete time translational symmetry only breaks at the boundaries and not in the bulk.

The vulnerability of quantum machine learning models against adversarial noises, together with a defense strategy way out of this dilemma, is demonstrated experimentally with a programmable superconducting quantum processor.

Fluid dynamics simulation, a complex challenge in classical physics, is relevant for real-world applications and highlights the potential of quantum computing. The authors report an experiment for the digital simulation of unsteady flows on a superconducting quantum processor, and show that the results effectively capture the evolution of flow fields.