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New Technique: Generalized Quantum Subspace Expansion #2377

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purva-thakre opened this issue May 17, 2024 · 0 comments
Open

New Technique: Generalized Quantum Subspace Expansion #2377

purva-thakre opened this issue May 17, 2024 · 0 comments
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feature-request A request for a feature, tool, or workflow in Mitiq. needs/agreed-design Needs a plan of action that is agreed upon to complete. needs/rfc Needs a detailed design document. new technique For proposed new techniques qse Quantum Subspace Expansion

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@purva-thakre
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purva-thakre commented May 17, 2024

Generalized QSE (GSE) introduced in https://arxiv.org/abs/2107.02611

Expands the 'search' subspace compared to what's used in QSE. Shown to be robust in the presence of imperfect control and is an error-agnostic QEM. Requires measurements that scale quadratically.

Dual GSE introduced in https://arxiv.org/abs/2309.14171

A better version of GSE that's resource-efficient in terms of required measurements. Relies on dual-state purification.

@purva-thakre purva-thakre added feature-request A request for a feature, tool, or workflow in Mitiq. needs/agreed-design Needs a plan of action that is agreed upon to complete. needs/rfc Needs a detailed design document. new technique For proposed new techniques labels May 17, 2024
@purva-thakre purva-thakre added the qse Quantum Subspace Expansion label May 18, 2024
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Labels
feature-request A request for a feature, tool, or workflow in Mitiq. needs/agreed-design Needs a plan of action that is agreed upon to complete. needs/rfc Needs a detailed design document. new technique For proposed new techniques qse Quantum Subspace Expansion
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