APS Medal for Exceptional Achievement in Research: Invited article on entanglement properties of quantum field theory

By E. Witten. Reviews of Modern Physics, 2018

463 citations recorded by the source corpus.

The 2016 APS Medal for Excellence in Physics was given to Edward Witten. This contribution was invited in conjunction with this award. These original notes contain concise explanations of some key results in the axiomatic and algebraic approaches to quantum field theory, which are relevant to quantum entanglement. They serve to put the connection between quantum field theory and quantum information theory on a precise and rigorous footing.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7e49b1f89e5256f3883b7afa283de33d1259dc52

How researchers see this paper

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In Astronomy and Astrophysics

1. T. Faulkner
2. Souvik Dutta
3. Fikret Ceyhan
4. E. Witten
5. S. Hartnoll
6. J. Polchinski
7. I. Klebanov
8. Andrew Strominger

In Atomic and Molecular Physics, and Optics

1. Souvik Dutta
2. T. Faulkner
3. Fikret Ceyhan
4. E. Witten
5. F. Cachazo
6. S. Raju
7. Zhenbin Yang
8. N. Seiberg

In Nuclear and High Energy Physics

1. Souvik Dutta
2. T. Faulkner
3. Fikret Ceyhan
4. E. Witten
5. Thomas Hartman
6. D. Harlow
7. S. Hartnoll
8. J. Maldacena

Citations in the corpus

• Analyticity and the Unruh effect: a study of local modular flow (2024, unknown): “The Minkowski vacuum is cyclic and separating for A — see e.g. [48, 49] — so there is a modular Hamiltonian K Ω for the restriction of | Ω ⟩ to A .”
• Gravity and the crossed product (2021, background): “6See for example [8] for basic facts about modular operators.”
• Recovering the QNEC from the ANEC (2018, background): “The fact that this is an operator in the algebra AC is a non-trivial result of Tomita-Takesaki theory applied to an enlarged Hilbert space (by a few (3)From the algebraic point of view P ≥ 0 follows more directly from properties of modular Hamiltonians under inclusion [6].”
• A canonical purification for the entanglement wedge cross-section (2019, methodology): “See for example [60] for a review of modular operators.”