![]() ![]() using trapped ions and superconducting setups ). Recently, and in parallel to these efforts, there has also been much progress in protecting quantum information in oscillator-based bosonic QEC encodings (see, e.g. In several qubit-based quantum processors, the implementation of some of the building blocks of QEC, such as the encoding of information in a QECC and the detection and correction of errors without altering the encoded information, has been demonstrated, for example, using trapped ions, superconducting circuits, nuclear magnetic resonance, or nitrogen-vacancy centres. In particular, identifying and mitigating noise sources so that minimal QECCs are shown to outperform their physical/bare counterparts is considered a break-even point in the road-map for realising QEC for large-scale quantum computers. However, to achieve the required levels of protection, there are experimental and theoretical challenges that need to be addressed. Together with a fault-tolerant methodology, which forbids the uncontrolled proliferation of errors by the specific design of the scalable QEC circuits, this yields one of the most promising approaches towards large-scale quantum computation. In particular, scalable quantum error correction codes (QECCs) preserve quantum information by encoding it redundantly in a set of physical qubits such that, in principle, arbitrary levels of protection can be achieved by increasing the number of redundant physical qubits while employing active detection and correction of errors, provided physical noise rates lie below the critical threshold of the corresponding QECC. Robust large-scale quantum computers will likely require quantum error-correction (QEC) to exploit the wide range of applications offered by a universal quantum processor. Quantum computation aims at manipulating delicate entangled states to achieve functionalities beyond those presented by classical devices. Finally, we study the impact of residual crosstalk errors on the performance of fault-tolerant QEC numerically, identifying the experimental target values that need to be achieved in near-term trapped-ion experiments to reach the break-even point for beneficial QEC with low-distance topological codes. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level. This type of errorsĪffects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. In this work, we present a comprehensive study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. Progress towards scalable and robust quantum computation relies on exploiting quantum error correction (QEC) to actively battle these undesired effects. ![]() Physical qubits in experimental quantum information processors are inevitably exposed to different sources of noise and imperfections, which lead to errors that typically accumulate hindering our ability to perform long computations reliably. ![]()
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