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It turns out that Heisenberg's uncertainty principle can be expressed as a lower bound on the sum of these entropies. This is stronger than the usual statement of the uncertainty principle in terms of the product of standard deviations. In 1957, [1] Hirschman considered a function f and its Fourier transform g such that
Jul 24, 2011 · Here, we experimentally investigated the entanglement-assisted entropic uncertainty principle for an entirely optical set-up. The uncertainty is shown to be near zero in the presence of...
- Chuan-Feng Li, Jin-Shi Xu, Xiao-Ye Xu, Ke Li, Guang-Can Guo
- 2011
A solution that overcomes these issues is an uncertainty based on entropic uncertainty instead of the product of variances. While formulating the many-worlds interpretation of quantum mechanics in 1957, Hugh Everett III conjectured a stronger extension of the uncertainty principle based on entropic certainty. [67]
The key benefits of entropy as an uncertainty measure are its clear operational meaning and its relevance to information-processing applications. Indeed, entropic uncertainty relations form the cornerstone of security proofs for quantum key distribution and other quantum cryp-tographic tasks [15].
- Patrick J. Coles, Vishal Katariya, Seth Lloyd, Iman Marvian, Mark M. Wilde
- 2019
Jul 25, 2010 · The uncertainty about the outcome of measurement R given information stored in a quantum memory, B, is denoted by the conditional von Neumann entropy, H (R | B). The extra term H (A | B)...
- Mario Berta, Mario Berta, Matthias Christandl, Matthias Christandl, Roger Colbeck, Roger Colbeck, Jo...
- 2010
This uncertainty relation is stronger than the standard Heisenberg uncertainty relation. Whenever the sum of the Shannon entropies exceeds its lower bound \(1+\ln\pi\) , we obtain a stronger bound for σ x σ k than the standard 1/2.
The Deutsche Physikalische Gesellschaft (DPG) with a tradition extending back to 1845 is the largest physical society in the world with more than 61,000 members. The DPG sees itse
