Anyon quantum dimensions from an arbitrary ground state wave function.

Nat Commun

Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, USA.

Published: June 2024

Realizing topological orders and topological quantum computation is a central task of modern physics. An important but notoriously hard question in this endeavor is how to diagnose topological orders that lack conventional order parameters. A breakthrough in this problem is the discovery of topological entanglement entropy, which can be used to detect nontrivial topological order from a ground state wave function, but is far from enough for fully determining the topological order. In this work, we take a key step further in this direction: We propose a simple entanglement-based protocol for extracting the quantum dimensions of all anyons from a single ground state wave function in two dimensions. The choice of the space manifold and the ground state is arbitrary. This protocol is both validated in the continuum and verified on lattices, and we anticipate it to be realizable in various quantum simulation platforms.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11180095PMC
http://dx.doi.org/10.1038/s41467-024-47856-7DOI Listing

Publication Analysis

Top Keywords

ground state
16
state wave
12
wave function
12
quantum dimensions
8
topological orders
8
topological order
8
topological
6
anyon quantum
4
dimensions arbitrary
4
ground
4

Similar Publications

In this study, water-soluble fraction (WSF), chelator-soluble fraction (CSF), and sodium carbonate-soluble fraction (NSF) were sequentially fractionated from pear pulp, of which physicochemical properties and hypolipidemic activities in vitro were evaluated. They showed distinct monosaccharide composition, surface morphology, nuclear magnetic resonance (NMR), and Fourier transform infrared (FT-IR) spectrums. WSF and NSF were identified as high methyl-esterified pectic polysaccharides with degrees of methyl esterification (DM) of 85.

View Article and Find Full Text PDF

Purpose: To improve the current method for MRI turbulence quantification which is the intravoxel phase dispersion (IVPD) method. Turbulence is commonly characterized by the Reynolds stress tensor (RST) which describes the velocity covariance matrix. A major source for systematic errors in MRI is the sequence's sensitivity to the variance of the derivatives of velocity, such as the acceleration variance, which can lead to a substantial measurement bias.

View Article and Find Full Text PDF

Immersive exposure to simulated visual hallucinations modulates high-level human cognition.

Conscious Cogn

January 2025

Humane Technology Lab, Catholic University of Sacred Heart, Milan, Italy; Applied Technology for Neuro-Psychology Lab., Istituto Auxologico Italiano IRCCS, Milan, Italy. Electronic address:

Psychedelic drugs offer valuable insights into consciousness, but disentangling their causal effects on perceptual and high-level cognition is nontrivial. Technological advances in virtual reality (VR) and machine learning have enabled the immersive simulation of visual hallucinations. However, comprehensive experimental data on how these simulated hallucinations affects high-level human cognition is lacking.

View Article and Find Full Text PDF

The Anatomy of Gossip: Dissecting Dynamics and Impacts in Surgical Residency.

Surgery

January 2025

Department of Health Professions Education, MGH Institute for Health Professions Education, Boston, MA; Department of Surgery, Baylor Scott & White Health, Temple, TX. Electronic address: https://twitter.com/_baaw_.

Background: Gossip, defined by social scientists as "evaluative talk about an absent third party," is anecdotally pervasive yet poorly understood in surgical residency programs. Gossip is known to have both positive and negative impacts. This study sought to deconstruct the role of gossip in surgical residency and evaluate its impact through the lens of surgical residents.

View Article and Find Full Text PDF

Modern innovations increasingly prioritize eco-friendliness, aiming to pave the way for a sustainable future. The field of civil engineering is no exception to this approach, and, in fact, it is associated with almost every sustainable development goal framed by the United Nations. Therefore, the sector has a pivotal role in achieving these goals.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!