Noise-tolerant parity learning with one quantum bit

Demonstrating quantum advantage with less powerful but more realistic devices is of great importance in modern quantum information science. Recently, a significant quantum speedup was achieved in the problem of learning a hidden parity function with noise. However, if all data qubits at the query output are completely depolarized, the algorithm fails. In this work, we present a quantum parity learning algorithm that exhibits quantum advantage as long as one qubit is provided with nonzero polarization in each query. In this scenario, the quantum parity learning naturally becomes deterministic quantum computation with one qubit. Then the hidden parity function can be revealed by performing a set of operations that can be interpreted as measuring nonlocal observables on the auxiliary result qubit having nonzero polarization and each data qubit. We also discuss the source of the quantum advantage in our algorithm from the resource-theoretic point of view.
Publisher
AMER PHYSICAL SOC
Issue Date
2018-03
Language
English
Article Type
Article
Keywords

QUBIT

Citation

PHYSICAL REVIEW A, v.97, no.3

ISSN
2469-9926
DOI
10.1103/PhysRevA.97.032327
URI
http://hdl.handle.net/10203/241327
Appears in Collection
EE-Journal Papers(저널논문)PH-Journal Papers(저널논문)
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