Quantum algorithms achieve exponential fast-forwarding for structured Lindbladian dynamics and coherence-dependent exponential speedup in Gibbs state property estimation.
The mapping from an n-qubit matrix O = ∑ij oij |i⟩⟨j| to a 2n-qubit vector |O⟩⟩ = ∑ij oij |i⟩|j⟩ is called vectorization, and is denoted by V [O] = |O⟩⟩
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Exponential Lindbladian fast forwarding and exponential amplification of certain Gibbs state properties
Quantum algorithms achieve exponential fast-forwarding for structured Lindbladian dynamics and coherence-dependent exponential speedup in Gibbs state property estimation.