Achieving fault tolerance against amplitude-damping noise
- URL: http://arxiv.org/abs/2107.05485v3
- Date: Mon, 14 Mar 2022 03:01:15 GMT
- Title: Achieving fault tolerance against amplitude-damping noise
- Authors: Akshaya Jayashankar, My Duy Hoang Long, Hui Khoon Ng, Prabha Mandayam
- Abstract summary: We develop a protocol for fault-tolerant encoded quantum computing components in the presence of amplitude-damping noise.
We describe a universal set of fault-tolerant encoded gadgets and compute the pseudothreshold for the noise.
Our work demonstrates the possibility of applying the ideas of quantum fault tolerance to targeted noise models.
- Score: 1.7289359743609742
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: With the intense interest in small, noisy quantum computing devices comes the
push for larger, more accurate -- and hence more useful -- quantum computers.
While fully fault-tolerant quantum computers are, in principle, capable of
achieving arbitrarily accurate calculations using devices subjected to general
noise, they require immense resources far beyond our current reach. An
intermediate step would be to construct quantum computers of limited accuracy
enhanced by lower-level, and hence lower-cost, noise-removal techniques. This
is the motivation for our work, which looks into fault-tolerant encoded quantum
computation targeted at the dominant noise afflicting the quantum device.
Specifically, we develop a protocol for fault-tolerant encoded quantum
computing components in the presence of amplitude-damping noise, using a
4-qubit code and a recovery procedure tailored to such noise. We describe a
universal set of fault-tolerant encoded gadgets and compute the pseudothreshold
for the noise, below which our scheme leads to more accurate computation. Our
work demonstrates the possibility of applying the ideas of quantum fault
tolerance to targeted noise models, generalizing the recent pursuit of
biased-noise fault tolerance beyond the usual Pauli noise models. We also
illustrate how certain aspects of the standard fault tolerance intuition,
largely acquired through Pauli-noise considerations, can fail in the face of
more general noise.
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