3 problems

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Low et al.'s optimal query-complexity conjecture for non-unitary dynamics
Low et al.'s conjecture. The optimal query complexity for block encoding $e^{-At}$ should scale as
Conjectureopennon-unitary-dynamics quantum-simulation query-complexityarXiv posted 2 days ago
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Conjecture on a classically hard regime in non-unitary boson sampling
Classically hard-regime conjecture. The classically hard regime exists in the red region: there, $U(t)$ does not satisfy known conditions for computing and/or sampling the distribu…
Conjectureopenboson-sampling computational-complexity non-unitary-dynamicsarXiv posted 2 days ago
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The conjecture on new vacua from non-unitary evolution
New-vacuum conjecture. In general, non-unitary evolution of a closed quantum system perturbed by an external agent may lead to a new vacuum $\text{\textbf{v}}_{\widetilde{\mu}}$ in…
Conjectureopennon-unitary-dynamics quantum-mechanics vacuum-statesarXiv posted 2 days ago

Low et al.'s optimal query-complexity conjecture for non-unitary dynamics