PhysRevE.93.060104.pdf (162.82 kB)
One-parameter class of uncertainty relations based on entropy power
journal contribution
posted on 2023-06-09, 01:30 authored by Petr Jizba, Yue Ma, Anthony Hayes, Jacob DunninghamJacob DunninghamWe use the concept of entropy power to derive a new one-parameter class of information-theoretic uncertainty relations for pairs of conjugate observables in an infinite-dimensional Hilbert space. This class constitutes an infinite tower of higher-order statistics uncertainty relations, which allows one in principle to determine the shape of the underlying information-distribution function by measuring the relevant entropy powers. We illustrate the capability of the new class by discussing two examples: superpositions of vacuum and squeezed states and the Cauchy-type heavy-tailed wave function.
Funding
UK Quantum Technology Hub: NQIT-Networked Quantum Information Technologies; G1503; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/M013243/1
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Publication status
- Published
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- Published version
Journal
Physical Review EISSN
1539-3755Publisher
American Physical SocietyExternal DOI
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6Volume
93Page range
0104Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2016-06-06First Open Access (FOA) Date
2016-06-06First Compliant Deposit (FCD) Date
2016-06-06Usage metrics
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