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Marco Tomamichel (National University of Singapore): Quantum advantage with noisy shallow circuits

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Marco Tomamichel (National University of Singapore).
Quantum advantage with noisy shallow circuits.
As increasingly sophisticated prototypes of quantum computers are being developed, a pressing challenge is to find computational problems that can be solved by an intermediate-scale quantum computer, but are beyond the capabilities of existing classical computers. Here we explore computational problems that can be solved with certainty by noisy quantum circuits of depth independent of the input size (so-called ‘shallow’ circuits) but cannot be solved with high probability by any (noise free) shallow classical circuit.
Team-Net QC Colloquium 2022.05.11
The purpose of the Team-Net Quantum Computing Colloquium series is to expose Polish and international researchers, as well as interested peers, to the most important recent achievements and trends in the field of quantum computing. Topics of the colloquium include, but are not limited to:
Near-term quantum algorithms
Quantum supremacy experiments
Resource-theoretic approaches to quantum computing
Quantum machine learning
Practical quantum error correction and error mitigation
Mathematical aspects of quantum computing and many body physics
Quantum advantage with noisy shallow circuits.
As increasingly sophisticated prototypes of quantum computers are being developed, a pressing challenge is to find computational problems that can be solved by an intermediate-scale quantum computer, but are beyond the capabilities of existing classical computers. Here we explore computational problems that can be solved with certainty by noisy quantum circuits of depth independent of the input size (so-called ‘shallow’ circuits) but cannot be solved with high probability by any (noise free) shallow classical circuit.
Team-Net QC Colloquium 2022.05.11
The purpose of the Team-Net Quantum Computing Colloquium series is to expose Polish and international researchers, as well as interested peers, to the most important recent achievements and trends in the field of quantum computing. Topics of the colloquium include, but are not limited to:
Near-term quantum algorithms
Quantum supremacy experiments
Resource-theoretic approaches to quantum computing
Quantum machine learning
Practical quantum error correction and error mitigation
Mathematical aspects of quantum computing and many body physics