Derives the ultimate quantum limit for estimating functions of multiple parameters in general Hamiltonians, showing it reduces to an optimized single-parameter quantum Cramér-Rao bound with an attaining protocol.
Learning hamiltonians in the heisenberg limit with static single-qubit fields
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quant-ph 2years
2026 2verdicts
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Heisenberg-limited Hamiltonian learning is achievable with any constant minimum evolution time T per query, attaining optimal 1/ε total-time scaling for logarithmically sparse Hamiltonians.
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Multiparameter function estimation for general Hamiltonians
Derives the ultimate quantum limit for estimating functions of multiple parameters in general Hamiltonians, showing it reduces to an optimized single-parameter quantum Cramér-Rao bound with an attaining protocol.
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Heisenberg-limited Hamiltonian learning without short-time control
Heisenberg-limited Hamiltonian learning is achievable with any constant minimum evolution time T per query, attaining optimal 1/ε total-time scaling for logarithmically sparse Hamiltonians.