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Coherence generation with Hamiltonians (pp0565-0575)
Manfredi Scalici Moein Naseri and Alexander Streltsov
doi:
https://doi.org/10.26421/QIC24.7-8-2
Abstracts:
We explore methods to generate quantum
coherence through unitary
evolutions,
by introducing and studying the coherence generating capacity of
Hamiltonians.
This quantity is defined as the maximum derivative of coherence that can
be achieved by a Hamiltonian. By adopting the relative entropy of
coherence as our figure of merit, we evaluate the maximal coherence
generating capacity with the constraint of a bounded Hilbert-Schmidt
norm for the Hamiltonian. Our investigation yields closed-form
expressions for both
Hamiltonians
and quantum states that induce the maximal derivative of coherence under
these conditions. Specifically, for
qubit
systems, we solve this problem comprehensively for any given
Hamiltonian, identifying the quantum states that lead to the largest
coherence derivative induced by the Hamiltonian. Our investigation
enables a precise identification of conditions under which quantum
coherence is optimally enhanced, offering valuable insights for the
manipulation and control of quantum coherence in quantum systems.
Key Words:
Resource Generation, Quantum
Coherence, Quantum Control |
