A framework is presented for designing robust and precise effective Hamiltonians by identifying the minimal toggling-frame subspace and the complete set of achievable zeroth-order terms.
Equivalent Hamiltonians for State to State Transfer in the Case of Partial Quantum Control
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abstract
Given a fixed initial state, a desired Hamiltonian, and an amount of time, we provide a complete characterization of the set of Hamiltonians which perform the same action as the desired Hamiltonian on the state of interest. An example is provided where the desired Hamiltonian lies outside of the control Lie algebra, but implementable Hamiltonians exist within the characterization.
fields
quant-ph 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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Engineering Precise and Robust Effective Hamiltonians
A framework is presented for designing robust and precise effective Hamiltonians by identifying the minimal toggling-frame subspace and the complete set of achievable zeroth-order terms.