14 research outputs found

    Suppressing quantum errors by scaling a surface code logical qubit

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    Practical quantum computing will require error rates that are well below what is achievable with physical qubits. Quantum error correction offers a path to algorithmically-relevant error rates by encoding logical qubits within many physical qubits, where increasing the number of physical qubits enhances protection against physical errors. However, introducing more qubits also increases the number of error sources, so the density of errors must be sufficiently low in order for logical performance to improve with increasing code size. Here, we report the measurement of logical qubit performance scaling across multiple code sizes, and demonstrate that our system of superconducting qubits has sufficient performance to overcome the additional errors from increasing qubit number. We find our distance-5 surface code logical qubit modestly outperforms an ensemble of distance-3 logical qubits on average, both in terms of logical error probability over 25 cycles and logical error per cycle (2.914%±0.016%2.914\%\pm 0.016\% compared to 3.028%±0.023%3.028\%\pm 0.023\%). To investigate damaging, low-probability error sources, we run a distance-25 repetition code and observe a 1.7×1061.7\times10^{-6} logical error per round floor set by a single high-energy event (1.6×1071.6\times10^{-7} when excluding this event). We are able to accurately model our experiment, and from this model we can extract error budgets that highlight the biggest challenges for future systems. These results mark the first experimental demonstration where quantum error correction begins to improve performance with increasing qubit number, illuminating the path to reaching the logical error rates required for computation.Comment: Main text: 6 pages, 4 figures. v2: Update author list, references, Fig. S12, Table I

    Non-Abelian braiding of graph vertices in a superconducting processor

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    Indistinguishability of particles is a fundamental principle of quantum mechanics. For all elementary and quasiparticles observed to date - including fermions, bosons, and Abelian anyons - this principle guarantees that the braiding of identical particles leaves the system unchanged. However, in two spatial dimensions, an intriguing possibility exists: braiding of non-Abelian anyons causes rotations in a space of topologically degenerate wavefunctions. Hence, it can change the observables of the system without violating the principle of indistinguishability. Despite the well developed mathematical description of non-Abelian anyons and numerous theoretical proposals, the experimental observation of their exchange statistics has remained elusive for decades. Controllable many-body quantum states generated on quantum processors offer another path for exploring these fundamental phenomena. While efforts on conventional solid-state platforms typically involve Hamiltonian dynamics of quasi-particles, superconducting quantum processors allow for directly manipulating the many-body wavefunction via unitary gates. Building on predictions that stabilizer codes can host projective non-Abelian Ising anyons, we implement a generalized stabilizer code and unitary protocol to create and braid them. This allows us to experimentally verify the fusion rules of the anyons and braid them to realize their statistics. We then study the prospect of employing the anyons for quantum computation and utilize braiding to create an entangled state of anyons encoding three logical qubits. Our work provides new insights about non-Abelian braiding and - through the future inclusion of error correction to achieve topological protection - could open a path toward fault-tolerant quantum computing

    United States Joins in Arctic Declaration, Supports Existing Arctic Legal Regime

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    Investigating stress path hysteresis in a CO2 injection scenario using coupled geomechanical-fluid flow modelling

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    A successful CO2 storage project will require large volumes of CO2 to be injected into storage at industrial rates in a reliable and secure manner, the operators of the project must also be able to demonstrate the accuracy of modelling predictions for storage to both the regulators and public. Leakage from storage will compromise both the capacity estimates of the storage capacity, and the perceived security of the project even if the leakage is transient. Fluid induced fractures caused by injection of CO2 above the fracture pressure of the formation will control the volume of CO2 a storage reservoir can hold, and will control the rate of CO2 injection; therefore the estimation of the pressure at which a formation will fracture is a key consideration in the modelling of a storage project. Field evidence of fracture pressures from reservoirs in the North Sea show evidence that the fracture pressure upon reinjection into a field is often lower than predicted by conventional approaches. This study presents a coupled geomechanical -fluid flow model modeling injection into a depleted field, the model exhibits hysteretic stress path behavior demonstrating a case of potential overestimation of fracture pressure. This study is the initial stage in a full sensitivity analysis of the material model parameters controlling stress path hysteresis including model geometry effects
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