Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays

@article{Wu2022ErasureCF,
  title={Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays},
  author={Yue Wu and Shimon Kolkowitz and Shruti Puri and Jeff D. Thompson},
  journal={Nature Communications},
  year={2022},
  volume={13}
}
Executing quantum algorithms on error-corrected logical qubits is a critical step for scalable quantum computing, but the requisite numbers of qubits and physical error rates are demanding for current experimental hardware. Recently, the development of error correcting codes tailored to particular physical noise models has helped relax these requirements. In this work, we propose a qubit encoding and gate protocol for 171Yb neutral atom qubits that converts the dominant physical errors into… 

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References

SHOWING 1-10 OF 75 REFERENCES

Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg Atoms

This work provides the first complete characterization of these sources of error in a neutral-atom quantum computer and proposes hardware-efficient, fault-tolerant quantum computation schemes that mitigate them.

Practical Quantum Error Correction with the XZZX Code and Kerr-Cat Qubits

The development of robust architectures capable of large-scale fault-tolerant quantum computation should consider both their quantum error-correcting codes and the underlying physical qubits upon

Realization of Real-Time Fault-Tolerant Quantum Error Correction

This work uses a ten qubit QCCD trapped-ion quantum computer to encode a single logical qubit using the [[7, 1, 3]] color code, first proposed by Steane, and demonstrates a dynamically protected logical qubits memory.

Quantum teleportation of physical qubits into logical code spaces

This work creates a maximally entangled state between a physical and an error-correctable logical qubit and uses it as a teleportation resource and demonstrates the teleportation of quantum information encoded on the physical qubit into the error-Corrected logical qu bit with fidelities up to 0.786.

Fault-tolerant operation of a logical qubit in a diamond quantum processor

This work demonstrates fault-tolerant operations on a logical qubit using spin qubits in diamond using the five-qubit code with a recently discovered flag protocol that enables fault tolerance using a total of seven qubits28–30.

Fault-tolerant control of an error-corrected qubit.

It is demonstrated that fault-tolerant circuits enable highly accurate logical primitives in current quantum systems with improved two-qubit gates and the use of intermediate measurements, and a stabilized logical qubit can be achieved.

The XZZX surface code

This code has a practical, high-performance decoder and surpasses all previously known thresholds in the realistic setting where syndrome measurements are unreliable, and it is shown that it is possible to maintain all of these advantages when the authors perform fault-tolerant quantum computation.

Demonstration of fault-tolerant universal quantum gate operations.

Here, a fault-tolerant universal set of gates on two logical qubits in a trapped-ion quantum computer is demonstrated and the hallmark feature of fault tolerance is observed-a superior performance compared with a non-fault-tolerance implementation.

Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing

The Rydberg blockade mechanism is now routinely considered for entangling qubits encoded in clock states of neutral atoms. Challenges towards implementing entangling gates with high fidelity include

Surface code quantum computing by lattice surgery

This paper introduces a new technique enabling the coupling of two planar codes without transversal operations, maintaining the 2DNN of the encoded computer, and shows how lattice surgery allows us to distribute encoded GHZ states in a more direct manner, and how a demonstration of an encoded CNOT between two distance-3 logical states is possible with 53 physical qubits.
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