Moment relaxations with time-dependent differential constraints yield upper bounds on fidelities and lower bounds on optimal times for quantum control tasks including qubit gates and excitation transfer.
Unitary gate synthesis via polynomial optimization
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Two new state-lifting moment-SOS hierarchies exploit composition and tensor train structure to compute certified bounds for large polynomial optimization problems.
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Reachability and optimal-time certificates for quantum control
Moment relaxations with time-dependent differential constraints yield upper bounds on fidelities and lower bounds on optimal times for quantum control tasks including qubit gates and excitation transfer.
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Composition and tensor train structure in polynomial optimization
Two new state-lifting moment-SOS hierarchies exploit composition and tensor train structure to compute certified bounds for large polynomial optimization problems.