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Patrick Hayden

Researcher at Stanford University

Publications -  177
Citations -  11643

Patrick Hayden is an academic researcher from Stanford University. The author has contributed to research in topics: Quantum information & Quantum entanglement. The author has an hindex of 48, co-authored 177 publications receiving 10034 citations. Previous affiliations of Patrick Hayden include California Institute of Technology & Canadian Institute for Advanced Research.

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Intrinsic Gap of the ν=5/2 Fractional Quantum Hall State

TL;DR: The fractional quantum Hall effect is observed at low magnetic field where the cyclotron energy is smaller than the Coulomb interaction energy as discussed by the authors, and the intrinsic gap at 2.63 T is measured to be $262.
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From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking

TL;DR: The notion of a metric uncertainty relation is introduced and connected to low-distortion embeddings of Euclidean spaces into slightly larger spaces endowed with the ℓ1 norm and it is proved that random bases satisfy uncertainty relations with a stronger definition and better parameters than previously known.
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Intrinsic gap of the nu=5/2 fractional quantum Hall state.

TL;DR: The role of disorder on the 5/2 state of fractional quantum Hall liquids has been examined in this paper, where it is shown that a large discrepancy remains between theory and experiment for the intrinsic gap extrapolated from the infinite mobility limit.
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Contrasting behavior of the 5/2 and 7/3 fractional quantum Hall effect in a tilted field.

TL;DR: The radically distinct tilted-field behavior between the two states is discussed in terms of Zeeman and magneto-orbital coupling within the context of the proposed Moore-Read Pfaffian wave function for the 5/2 fractional quantum Hall effect.
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Locking classical information

TL;DR: It is demonstrated that after removing a logarithmic-sized quantum system from one half of a pair of perfectly correlated bitstrings, even the most sensitive pair of measurements might only yield outcomes essentially independent of each other, which is a form of information locking.