Uncertainty Relation for Non-Hermitian Systems
- URL: http://arxiv.org/abs/2206.02844v3
- Date: Sun, 26 Mar 2023 08:16:28 GMT
- Title: Uncertainty Relation for Non-Hermitian Systems
- Authors: Namrata Shukla, Ranjan Modak, and Bhabani Prasad Mandal
- Abstract summary: We show that the cumulative gain in the quantum Fisher information when measuring two good observables for such non-Hermitian systems is way better than their Hermitian counterpart.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We construct uncertainty relation for arbitrary finite dimensional PT
invariant non-Hermitian quantum systems within a special inner product
framework. This construction is led by good observables which are a more
general class of operators. We show that the cumulative gain in the quantum
Fisher information when measuring two good observables for such non-Hermitian
systems is way better than their Hermitian counterpart. Minimum uncertainty
states being the best candidates for this gain near the exceptional point
supports the intelligent or simultaneous non-Hermitian quantum sensors.
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