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Nonlinear transformations in quantum computation

delete2023-02-13
delete11
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OA
AI
Z
Zoë Holmes *
N
Nolan J. Coble
A
Andrew Sornborger
Y
Yiğit Subaşı
DOI:10.1103/PhysRevResearch.5.013105delete
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Abstract

Abstract

En 中文
While quantum computers are naturally well suited to implementing linear operations, it is less clear how to implement nonlinear operations on quantum computers. However, nonlinear subroutines may prove key to a range of applications of quantum computing from solving nonlinear equations to data processing and quantum machine learning. Here we develop a series of basic subroutines for implementing nonlinear transformations of input quantum states. Our algorithms are framed around the concept of a weighted state, a mathematical entity describing the output of an operational procedure involving both quantum circuits and classical postprocessing.
Keywords:
MIXED STATES
SEPARABILITY

Journal

Physical Review Research cover
Physical Review Research
IF:
4.2
Papers:
7.6K
Citations:
2.7W

Organization

U
united states department of energy (doe)
Scholars:
11.3W
Papers: 9.6W
Citations: 246