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Researchers have established a fundamental link between quantum speed limits and state texture measures like trace distance and Jensen-Shannon divergence. By utilizing these metrics, the study derives tighter lower bounds for evolution times in open systems without requiring detailed knowledge of the system's Hamiltonian. This advancement provides refined theoretical tools for optimizing control timescales in emerging quantum technologies subject to dephasing and dissipation.
Researchers Bound Quantum Evolution Using State Texture Measures

Can quantifying how ‘different’ a quantum state is predict its absolute minimum evolution time? New calculations demonstrate this connection using measures of quantum-state texture, including trace distance and Jensen-Shannon divergence, to establish lower bounds for processes like dephasing and dissipation. This offers refined methods for optimising timescales within emerging technologies dependent upon precise quantum control.
A connection now exists between speed limits governing the evolution of quantum systems and a property called quantum-state texture, relating to coherence and imaginarity within a system. This enables new ways of calculating those limits using measures such as trace distance, state rugosity, and Jensen, Shannon divergence; calculations were performed with models including dephasing and dissipation. Quantum speed limits, the minimum time for a system to change, are linked with…
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