Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...

Extended Versions of Green’s Theorem

Extended Versions of Green’s Theorem

Green’s Theorem connects the circulation of a vector field around a closed curve with the behavior of the field across the region enclosed by that curve. It provides a way to replace a line integral around a boundary with a double integral over the interior region, making it especially useful in plane geometry, fluid flow, and vector calculus.Although Green’s Theorem is often introduced using simple regions without gaps, it can also be applied to regions made from several simple parts. This...

Restriction Enzymes

Restriction Enzymes

Restriction enzymes are bacterial enzymes used to cut DNA in a sequence-specific manner. To cleave DNA, they bind to specific palindromic sequences called restriction sites. Such palindromic DNA sequences or inverted repeats are commonly found in regions of functional significance, such as the origin of replication, gene operator sites, and regions containing transcription termination signals.
The host bacteria protect their own genomic DNA from these enzymes by methylating these sites. Some...

Quantum Numbers

Quantum Numbers

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.

The Pauli Exclusion Principle

The Pauli Exclusion Principle

The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:

Combinatorial Gene Control

Combinatorial Gene Control

Combinatorial gene control is the synergistic action of several transcriptional factors to regulate the expression of a single gene. The absence of one or more of these factors may lead to a significant difference in the level of gene expression or repression.
The expression of more than 30,000 genes is controlled by approximately 2000-3000 transcription factors. This is possible because a single transcription factor can recognize more than one regulatory sequence. The specificity in gene...

You might also read

Related Articles

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

Sort by

Same author

Traceable random numbers from a non-local quantum advantage.

Nature·2025

Same author

An atomic boson sampler.

Nature·2024

Same author

Performance of Test Supermartingale Confidence Intervals for the Success Probability of Bernoulli Trials.

Journal of research of the National Institute of Standards and Technology·2024

Same author

Constraints on Gaussian Error Channels and Measurements for Quantum Communication.

Physical review. A·2023

Same author

High-Fidelity Indirect Readout of Trapped-Ion Hyperfine Qubits.

Physical review letters·2022

Same author

Approximate exchange-only entangling gates for the three-spin-1/2 decoherence-free subsystem.

Physical review. A·2021

Search research articles

Related Experiment Videos

Restrictions on transversal encoded quantum gate sets.

Bryan Eastin¹, Emanuel Knill

¹National Institute of Standards and Technology, Boulder, Colorado 80305, USA. beastin@nist.gov

Physical Review Letters

|April 28, 2009

Summary

Transversal gates are crucial for fault-tolerant quantum computation. This study shows that quantum codes detecting any single physical error cannot achieve universal transversal gate sets.

Area of Science:

Quantum Information Science
Quantum Computation Theory
Error Correction Codes

Background:

Transversal gates are vital for fault-tolerant quantum computation due to their noise resilience.
These gates do not spread errors within quantum code blocks, enhancing fault tolerance.
However, not all quantum gates can be implemented transversally, necessitating other fault tolerance methods.

Purpose of the Study:

To investigate the long-standing conjecture that transversal encoded gate sets cannot be universal.
To determine the relationship between a quantum code's error detection capabilities and the existence of universal transversal gate sets.

Main Methods:

Theoretical analysis of quantum error correction codes.
Investigating the properties of transversal gates and their limitations.

Related Experiment Videos

Exploring the conditions for universal gate sets in the context of fault tolerance.

Main Results:

Demonstrated that a quantum code's ability to detect arbitrary single-qubit errors is incompatible with a universal transversal encoded gate set.
This finding directly addresses and refutes the conjecture regarding the universality of transversal gate sets.

Conclusions:

Quantum codes capable of detecting any single physical error cannot support a universal set of transversal gates.
This incompatibility highlights fundamental trade-offs in designing fault-tolerant quantum computation architectures.