Related Experiment Video
Updated: Jun 20, 2025
05:58
Using Rapid Serial Visual Presentation to Measure Set-Specific Capture, a Consequence of Distraction While Multitasking
Published on: August 29, 2018
8.9K
Fault-tolerant one-bit addition with the smallest interesting color code
Yang Wang1,2, Selwyn Simsek3, Thomas M Gatterman4
1QuTech, Delft University of Technology, PO Box 5046, 2600 GA Delft, Netherlands.
Science Advances
|July 19, 2024
Summary
This study demonstrates fault-tolerant one-qubit addition on a trapped-ion quantum computer using the X color code. This approach significantly reduces errors compared to unencoded circuits, paving the way for practical quantum computing.
Area of Science:
- Quantum Computing
- Quantum Error Correction
Background:
- Stabilizer codes are standard for quantum error suppression but struggle with non-Clifford operations.
- Implementing universal gate sets often requires complex error correction or high-overhead techniques like magic states.
Purpose of the Study:
- To implement a one-qubit addition algorithm fault-tolerantly on a trapped-ion quantum computer.
- To explore the efficacy of the X color code for efficient fault-tolerant quantum computation.
Main Methods:
- Utilized the X color code for fault-tolerant implementation of one-qubit addition.
- Optimized circuits by removing redundant error correction and employing low-overhead preparation and measurement techniques.
- Reduced the count of error-prone two-qubit gates and measurements to 36.
Main Results:
- Achieved a fault-tolerant arithmetic error rate of approximately 1.1 × 10^-3.
- Observed a significantly higher error rate of approximately 9.5 × 10^-3 for the unencoded circuit.
- Demonstrated the practical feasibility of fault-tolerant operations on near-term quantum hardware.
Conclusions:
- The X color code offers a viable and efficient approach for fault-tolerant quantum computation.
- Optimized circuit design and low-overhead techniques are crucial for reducing error rates in quantum algorithms.
- This work represents a significant step towards realizing fault-tolerant quantum computers capable of complex calculations.
Related Concept Videos
01:43Incomplete Dominance
22.4K
Gregor Mendel's work (1822 - 1884) was primarily focused on pea plants. Through his initial experiments, he determined that every gene in a diploid cell has two variants called alleles inherited from each parent. He suggested that amongst these two alleles, one allele is dominant in character and the other recessive. The combination of alleles determines the phenotype of a gene in an organism.
22.4K
01:24Color Vision
553
Color perception begins in the retina, the light-sensitive layer at the back of the eye. Two main theories explain how colors are seen: the trichromatic theory and the opponent-process theory. The trichromatic theory, proposed by Thomas Young in 1802 and extended by Hermann von Helmholtz in 1852, suggests that color vision is based on three types of cone receptors in the retina. These cones are sensitive to different but overlapping ranges of wavelengths corresponding to red, blue, and green.
553
01:17Even and Odd Signals
794
An even signal, whether in continuous-time or discrete-time, is defined by its symmetry with its time-reversed version. Mathematically, this is represented as
794
03:02Colors and Magnetism
11.6K
Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human...
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human...
11.6K
01:11Genetic Lingo
102.5K
Overview
102.5K
01:39Epistasis
46.6K
In addition to multiple alleles at the same locus influencing traits, numerous genes or alleles at different locations may interact and influence phenotypes in a phenomenon called epistasis. For example, rabbit fur can be black or brown depending on whether the animal is homozygous dominant or heterozygous at a TYRP1 locus. However, if the rabbit is also homozygous recessive at a locus on the tyrosinase gene (TYR), it will have an unshaded coat that appears white, regardless of its TYRP1...
46.6K