Saturday, March 14, 2026

New Complexity Theory Emerges for Quantum Era

Computer science focuses on inputs and outputs. For example, when you multiply two numbers using a calculator, you enter the numbers (inputs), and the calculator shows the result (output). Some problems, like breaking down a number into its prime factors, are more complicated but follow the same idea. Solving problems on a computer often involves changing numerical inputs, usually represented by 0s and 1s, into outputs.

Researchers in computational complexity theory study why some tasks are harder than others. They found that some problems, like finding prime factors, are easier for quantum computers, which use the laws of quantum physics, compared to traditional computers.

For more than 30 years, experts have used this theory to find problems where quantum computers excel. However, there is a group of problems with unique inputs and outputs that still needs research. Henry Yuen, a complexity theorist, is especially interested in these complex problems. He believes a new theory may be necessary to understand them.

Yuen, a professor at Columbia University, has previously worked on significant advancements in complexity theory. His background is inspiring, as he learned programming to create video games despite growing up in a restaurant owned by his refugee family from Cambodia. He is now leading efforts to create a new quantum theory that can better address these unique problems.

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Vocabulary List:
6 words · tap to reveal
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AccentSpeed

Complexity/kəmˈplɛksɪti/noun
The state or quality of being intricate or complicated.

Quantum/ˈkwɒntəm/adjective
Relating to the smallest amount or unit specifically in physics dealing with the behavior of matter and energy on atomic and subatomic levels.

Theory/ˈθɪəri/noun
A system of ideas intended to explain something especially based on general principles independent of the thing to be explained.

Researchers/rɪˈsɜːrtʃərz/noun
Individuals who conduct systematic investigations in a specific area of study.

Inputs/ˈɪnpʊts/noun
Data or information that is put into a system for processing.

Outputs/ˈaʊtpʊts/noun
The result produced by a computer or system as a response to inputs.

How much do you know?

What does computer science primarily focus on?
Inputs and Outputs
Programming Languages
Computer Hardware
Network Security
Which type of computers is found to excel at finding prime factors?
Traditional Computers
Quantum Computers
Analog Computers
Supercomputers
Who is the complexity theorist interested in unique complex problems?
John Doe
Henry Yuen
Thomas Edison
Albert Einstein
Where does Henry Yuen work?
Harvard University
Stanford University
Columbia University
MIT
For how long have experts studied computational complexity theory?
10 years
20 years
30 years
40 years
What does numerical input often represent in computing?
Characters
0s and 1s
Letters
Colors
Quantum computers use traditional laws of physics.
Henry Yuen has worked on advancements in complexity theory.
Solving problems on a computer only involves inputs, not outputs.
Researchers have found some tasks that are easier for traditional computers.
Complex problems with unique inputs and outputs need further research.
Henry Yuen grew up in a restaurant owned by his family.
Computer science focuses on and outputs.
Some problems, like breaking down a number into its , are more complicated.
Researchers study why some tasks are than others.
Henry Yuen is especially interested in problems.
Yuen believes a new theory may be necessary to understand problems.
Henry Yuen learned programming to create games.
This question is required

Test Your Understanding

Start Quiz
Vocabulary List:
6 words · tap to reveal
OFF
AccentSpeed
Complexity/kəmˈplɛksɪti/noun
The state or quality of being intricate or complicated.
Quantum/ˈkwɒntəm/adjective
Relating to the smallest amount or unit specifically in physics dealing with the behavior of matter and energy on atomic and subatomic levels.
Theory/ˈθɪəri/noun
A system of ideas intended to explain something especially based on general principles independent of the thing to be explained.
Researchers/rɪˈsɜːrtʃərz/noun
Individuals who conduct systematic investigations in a specific area of study.
Inputs/ˈɪnpʊts/noun
Data or information that is put into a system for processing.
Outputs/ˈaʊtpʊts/noun
The result produced by a computer or system as a response to inputs.

How much do you know?

What does computer science primarily focus on?
Inputs and Outputs
Programming Languages
Computer Hardware
Network Security
Which type of computers is found to excel at finding prime factors?
Traditional Computers
Quantum Computers
Analog Computers
Supercomputers
Who is the complexity theorist interested in unique complex problems?
John Doe
Henry Yuen
Thomas Edison
Albert Einstein
Where does Henry Yuen work?
Harvard University
Stanford University
Columbia University
MIT
For how long have experts studied computational complexity theory?
10 years
20 years
30 years
40 years
What does numerical input often represent in computing?
Characters
0s and 1s
Letters
Colors
Quantum computers use traditional laws of physics.
Henry Yuen has worked on advancements in complexity theory.
Solving problems on a computer only involves inputs, not outputs.
Researchers have found some tasks that are easier for traditional computers.
Complex problems with unique inputs and outputs need further research.
Henry Yuen grew up in a restaurant owned by his family.
Computer science focuses on and outputs.
Some problems, like breaking down a number into its , are more complicated.
Researchers study why some tasks are than others.
Henry Yuen is especially interested in problems.
Yuen believes a new theory may be necessary to understand problems.
Henry Yuen learned programming to create games.
This question is required

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