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State-Dependent Approach to Entropic Measurement-Disturbance Relations
Patrick J. Coles, Fabian Furrer
Heisenberg's intuition was that there should be a tradeoff between measuring a particle's position with greater precision and disturbing its momentum. Recent formulations of this i…
Role of complementarity in superdense coding
Patrick J. Coles
The complementarity of two observables is often captured in uncertainty relations, which quantify an inevitable tradeoff in knowledge. Here we study complementarity in the context…
Improved entropic uncertainty relations and information exclusion relations
Patrick J. Coles, Marco Piani
The uncertainty principle can be expressed in entropic terms, also taking into account the role of entanglement in reducing uncertainty. The information exclusion principle bounds…
Complementary sequential measurements generate entanglement
Patrick J. Coles, Marco Piani
We present a new paradigm for capturing the complementarity of two observables. It is based on the entanglement created by the interaction between the system observed and the two m…
An equality between entanglement and uncertainty
Mario Berta, Patrick J. Coles, Stephanie Wehner
Heisenberg's uncertainty principle implies that if one party (Alice) prepares a system and randomly measures one of two incompatible observables, then another party (Bob) cannot pe…