Filters
447 results
An operator-algebraic formulation of self-testing
We give a new definition of self-testing for correlations in terms of states on C*-algebras. We show that this definition is equivalent to the standard definition for any class of...
Nov 16, 2022
The Complexity and (Un)Computability of Quantum Phase Transitions
The phase diagram of a material is of central importance in describing the properties and behaviour of a condensed matter system. Indeed, the study of quantum phase transitions has formed...
Oct 26, 2022
Holographic scattering from quantum error-correction
We revisit the problem of how interactions emerge in quantum gravity. Namely, we show that bulk scattering of multiple particles in the AdS space requires multipartite entanglement on the boundary...
Oct 26, 2022
Fusion rules from entanglement
Connections between 2D gapped quantum phases and the anyon fusion theory have been proven in various ways under different settings. In this work, we introduce a new framework connecting them...
Nov 06, 2019
Solving physics many-body problems with deep learning
Solving classical and quantum physics many-body systems are amongst the hardest problems in the natural sciences, but also of fundamental importance for applications such as material and drug design. In...
Nov 12, 2019
Hamiltonian tomography for many-body systems
We show that a generic many-body Hamiltonian can be uniquely reconstructed from a single pair of initial-final states under the unitary time evolution. Interesting it is, this method is not...
Nov 20, 2019
A computationally universal phase of quantum matter
We provide the first example of a symmetry protected quantum phase that has universal computational power. Throughout this phase, which lives in spatial dimension two, the ground state is a...
Nov 27, 2019
Tensors, invariants, and optimization
Given a vector in a representation, can it be distinguished from zero by an invariant polynomial? This classical question in invariant theory relates to a diverse set of problems in...
Jun 17, 2020
Phase Detection with Neural Networks: Interpreting the Black Box
Neural networks (NNs) normally do not allow any insight into the reasoning behind their predictions. We demonstrate how influence functions can unravel the black box of NN when trained to...
Jun 23, 2020
The ghost in the radiation: Robust encodings of the black hole interior
We reconsider the black hole firewall puzzle, emphasizing that quantum error-correction, computational complexity, and pseudorandomness are crucial concepts for understanding the black hole interior. We assume that the Hawking radiation...
Sep 16, 2020