- QUANTUM ERROR CORRECTION WITH SUPERCONDUCTING QUBITS FULL
- QUANTUM ERROR CORRECTION WITH SUPERCONDUCTING QUBITS CODE
T1 - Hardware-Efficient Leakage-Reduction Scheme for Quantum Error Correction with Superconducting Transmon Qubits This LRU scheme opens the prospect for near-term scalable QEC demonstrations.", Furthermore, we show that this leads to a significant reduction of the logical error rate. Using density-matrix simulations of the distance-3 surface code, we show that the average leakage lifetime is reduced to almost one QEC cycle, even when the LRUs are implemented with limited fidelity. For ancilla qubits, we apply a |1↔|2π pulse conditioned on the measurement outcome.
For data qubits, we consider a microwave drive to transfer leakage to the readout resonator, where it quickly decays, ensuring that this negligibly disturbs the computational states for realistic system parameters.
We propose a scheme using two leakage-reduction units (LRUs) that mitigate these issues for a transmon-based surface code, without requiring an overhead in terms of hardware or QEC-cycle time as in previous proposals. This LRU scheme opens the prospect for near-term scalable QEC demonstrations.Ībstract = "Leakage outside of the qubit computational subspace poses a threatening challenge to quantum error correction (QEC). Let us know how this access is important for you.Leakage outside of the qubit computational subspace poses a threatening challenge to quantum error correction (QEC). Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. The results demonstrate that Josephson quantum computing is a high-fidelity technology, with a clear path to scaling up to large-scale, fault-tolerant quantum circuits.
QUANTUM ERROR CORRECTION WITH SUPERCONDUCTING QUBITS FULL
As a further demonstration, we construct a five-qubit Greenberger-Horne-Zeilinger state using the complete circuit and full set of gates. Our quantum processor is a first step towards the surface code, using five qubits arranged in a linear array with nearest-neighbour coupling.
QUANTUM ERROR CORRECTION WITH SUPERCONDUCTING QUBITS CODE
This places Josephson quantum computing at the fault-tolerance threshold for surface code error correction. Here we demonstrate a universal set of logic gates in a superconducting multi-qubit processor, achieving an average single-qubit gate fidelity of 99.92 per cent and a two-qubit gate fidelity of up to 99.4 per cent. The gate fidelity requirements are modest: the per-step fidelity threshold is only about 99 per cent. For superconducting qubits, the surface code approach to quantum computing is a natural choice for error correction, because it uses only nearest-neighbour coupling and rapidly cycled entangling gates. Superconductivity is a useful phenomenon in this regard, because it allows the construction of large quantum circuits and is compatible with microfabrication. Quantum error correction provides this protection by distributing a logical state among many physical quantum bits (qubits) by means of quantum entanglement. A quantum computer can solve hard problems, such as prime factoring, database searching and quantum simulation, at the cost of needing to protect fragile quantum states from error.
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