Related papers: Exact Quantum Speed Limits

Exact Quantum Speed Limits

URL: http://arxiv.org/abs/2305.03839v2
Date: Tue, 29 Aug 2023 16:25:46 GMT
Title: Exact Quantum Speed Limits
Authors: Arun K. Pati, Brij Mohan, Sahil, and Samuel L. Braunstein
Abstract summary: We derive exact quantum speed limits for the unitary dynamics of pure-state quantum system. We estimate the evolution time for two- and higher-dimensional quantum systems. Results will have a significant impact on our understanding of quantum physics.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The traditional quantum speed limits are not attainable for many physical processes, as they tend to be loose and fail to determine the exact time taken by quantum systems to evolve. To address this, we derive exact quantum speed limits for the unitary dynamics of pure-state quantum system that outperform the existing quantum speed limits. Using these exact quantum speed limits, we can precisely estimate the evolution time for two- and higher-dimensional quantum systems. Additionally, for both finite- and infinite-dimensional quantum systems, we derive an improved Mandelstam-Tamm bound for pure states and show that this bound always saturates for any unitary generated by self-inverse Hamiltonians. Furthermore, we show that our speed limits establish an upper bound on the quantum computational circuit complexity. These results will have a significant impact on our understanding of quantum physics as well as rapidly developing quantum technologies, such as quantum computing, quantum control and quantum thermal machines.

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