Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Cartesian Vector Notation01:28

Cartesian Vector Notation

1.3K
Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engineers can more easily analyze and solve problems in various areas of mechanical engineering, including dynamics, kinematics, and fluid mechanics. This...
1.3K
Quantum Numbers02:43

Quantum Numbers

48.8K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
48.8K
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

1.4K
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
1.4K
Coordination Number and Geometry02:57

Coordination Number and Geometry

18.7K
For transition metal complexes, the coordination number determines the geometry around the central metal ion. Table 1 compares coordination numbers to molecular geometry. The most common structures of the complexes in coordination compounds are octahedral, tetrahedral, and square planar.
18.7K
Cartesian Form for Vector Formulation01:26

Cartesian Form for Vector Formulation

1.0K
The Cartesian form for vector formulation is a process to calculate  the moment of force using the position and force vectors. The moment of force is defined as the cross-product of these vectors, making it a vector quantity. The Cartesian form of the position and force vectors involves unit vectors, which can be used to express the cross-product in determinant form.
1.0K
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

11.3K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
11.3K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Dehydrocorydaline Exerts Anti-Pancreatic Cancer Effects Through the PI3K/Akt/mTOR Pathway.

Pharmaceuticals (Basel, Switzerland)·2026
Same author

Peptide inhibitors of immune checkpoints: Bridging the gap toward next-generation cancer immunotherapy.

Critical reviews in oncology/hematology·2026
Same author

CFTR-driven immune microenvironment reprogramming synergizes with anti-PD-L1 antibody in hepatocellular carcinoma.

Cell death & disease·2026
Same author

Trigeminal neuralgia: from clinical challenges to molecular insights.

The journal of headache and pain·2026
Same author

Effectiveness of Psychosocial Interventions for Demoralization in Patients with Cancer: A Systematic Review and Meta-Analysis.

Psycho-oncology·2026
Same author

Outcomes of endolymphatic sac surgery for lermoyez syndrome: a 2-year and 10-year follow-up.

Acta oto-laryngologica·2026
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Jan 6, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K

Tessellation Codes: Encoded Quantum Gates by Geometric Rotation.

Yixu Wang1, Yijia Xu2,3, Zi-Wen Liu4

  • 1Tsinghua University, Institute for Advanced Study, Beijing 100084, China.

Physical Review Letters
|October 19, 2025
PubMed
Summary
This summary is machine-generated.

We introduce tessellation codes, using surface symmetries to encode quantum information. These codes show error correction potential and enable quantum operations via geometric rotations, offering a novel approach to quantum computation.

More Related Videos

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.9K
Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

16.9K

Related Experiment Videos

Last Updated: Jan 6, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.9K
Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

16.9K

Area of Science:

  • Quantum Information Science
  • Geometric Group Theory
  • Topological Quantum Computing

Background:

  • Quantum error correction is crucial for fault-tolerant quantum computation.
  • Encoding quantum information in physical degrees of freedom is a key challenge.
  • Geometric and group-theoretic approaches offer novel pathways for quantum code development.

Purpose of the Study:

  • To develop a new class of quantum error-correcting codes, termed tessellation codes.
  • To explore the use of symmetry groups of regular tessellations on curved surfaces for quantum information encoding.
  • To investigate the error correction properties and logical operation capabilities of these novel codes.

Main Methods:

  • Utilizing symmetry groups of regular tessellations on surfaces with spherical, Euclidean, and hyperbolic curvatures.
  • Applying geometric considerations and representation theory of isometry groups for error analysis.
  • Developing concrete constructions of tessellation codes associated with various tessellations.

Main Results:

  • Demonstrated that tessellation codes can encode qubits or qudits into physical degrees of freedom.
  • Showed that tessellation codes possess decent error correction properties.
  • Enabled implementation of logical quantum operations through geometric surface rotations.

Conclusions:

  • Tessellation codes provide a new framework for quantum code and logical operation construction.
  • The geometric approach offers a novel perspective on implementing quantum computations.
  • This formalism opens new avenues for designing robust quantum information processing systems.