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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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Distributed Quantum Error Correction for Chip-Level Catastrophic Errors.

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A new quantum error correction scheme uses a distributed erasure code across chips to protect quantum computers from cosmic ray errors. This method significantly reduces catastrophic errors, enabling more reliable quantum computation.

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Area of Science:

  • Quantum computing
  • Quantum error correction
  • Quantum information science

Background:

  • Scaling quantum computers requires robust error correction strategies.
  • Cosmic ray events cause catastrophic chip-level errors, leading to information loss.
  • Existing error correction methods are vulnerable to these large-scale disruptive events.

Purpose of the Study:

  • To develop a distributed quantum error correction scheme resilient to chip-level catastrophic errors.
  • To mitigate the impact of cosmic ray events on quantum computer operations.
  • To demonstrate fault tolerance and discuss experimental feasibility.

Main Methods:

  • Introduction of a quantum erasure error correcting code distributed across separate quantum chips.
  • Fault-tolerant design against chip-level catastrophic failures.
  • Experimental implementation strategy using superconducting qubits and microwave links.

Main Results:

  • The proposed distributed error correction scheme is fault-tolerant against catastrophic chip-level errors.
  • Analysis indicates a significant suppression of error rates in state-of-the-art experiments.
  • Error rates can be reduced from 1 per 10 seconds to less than 1 per month.

Conclusions:

  • The distributed quantum erasure code offers a viable solution for protecting quantum computers from cosmic ray-induced errors.
  • This approach is crucial for advancing the scalability and reliability of quantum computing.
  • Experimental validation using superconducting qubits is feasible.