AI Article Synopsis
- Researchers developed a new uncertainty relation applicable to any number of unitary operators, which expands on traditional uncertainty relations by incorporating geometric phases.
- This new relation is applicable to pure states in n-dimensional quantum systems and leads to tighter bounds on transition probabilities between multiple states.
- The team conducted experiments using photonic polarization qubits to validate their findings through interferometric measurements focused on generalized geometric phases.
Article Abstract
We derive and experimentally investigate a strong uncertainty relation valid for any n unitary operators, which implies the standard uncertainty relation and others as special cases, and which can be written in terms of geometric phases. It is saturated by every pure state of any n-dimensional quantum system, generates a tight overlap uncertainty relation for the transition probabilities of any n+1 pure states, and gives an upper bound for the out-of-time-order correlation function. We test these uncertainty relations experimentally for photonic polarization qubits, including the minimum uncertainty states of the overlap uncertainty relation, via interferometric measurements of generalized geometric phases.
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| http://dx.doi.org/10.1103/PhysRevLett.120.230402 | DOI Listing |
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