We introduce twisted unitary t-groups, a generalization of unitary t-groups under a twisting by an irreducible representation. We then apply representation theoretic methods to the Knill-Laflamme error correction conditions to show that twisted unitary t-groups automatically correspond to quantum codes with distance d=t+1. By construction these codes have many transversal gates, which naturally do not spread errors and thus are useful for fault tolerance.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.133.030602 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Quantum Codes from Twisted Unitary t-Groups.
Phys Rev Lett
July 2024
Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.
We introduce twisted unitary t-groups, a generalization of unitary t-groups under a twisting by an irreducible representation. We then apply representation theoretic methods to the Knill-Laflamme error correction conditions to show that twisted unitary t-groups automatically correspond to quantum codes with distance d=t+1. By construction these codes have many transversal gates, which naturally do not spread errors and thus are useful for fault tolerance.
View Article and Find Full Text PDFSodium [F]Fluoride PET Can Efficiently Monitor In Vivo Atherosclerotic Plaque Calcification Progression and Treatment.
Cells
January 2021
Department of Nuclear Medicine, University Hospital RWTH Aachen, 52074 Aachen, Germany.
Given the high sensitivity and specificity of sodium [F]Fluoride (Na[F]F) for vascular calcifications and positive emerging data of vitamin K on vascular health, the aim of this study is to assess the ability of Na[F]F to monitor therapy and disease progression in a unitary atherosclerotic mouse model. ApoE mice were placed on a Western-type diet for 12-weeks and then split into four groups. The early stage atherosclerosis group received a chow diet for an additional 12-weeks, while the advanced atherosclerosis group continued the Western-type diet.
View Article and Find Full Text PDFAerobic exercise increases BK(Ca) channel contribution to regulation of mesenteric arterial tone by upregulating β1-subunit.
Exp Physiol
January 2013
Department of Exercise Physiology, Beijing Sport University, Beijing 100084, PR China.
Substantial evidence has shown that exercise training produces numerous adaptations within the arteries. Large-conductance Ca(2+)-activated K(+) (BK(Ca)) channels are expressed broadly on smooth muscle cells and play an important role in the regulation of vascular tone. The present study was designed to investigate the mechanisms by which the BK(Ca) channel underlies the exercise-induced improvement of the vascular function in mesenteric arteries.
View Article and Find Full Text PDFWant 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!