Quantum complexity theory | Quantum algorithms | Computational complexity theory

Hidden linear function problem

The hidden linear function problem, is a search problem that generalizes the Bernstein–Vazirani problem. In the Bernstein–Vazirani problem, the hidden function is implicitly specified in an oracle; while in the 2D hidden linear function problem (2D HLF), the hidden function is explicitly specified by a matrix and a binary vector. 2D HLF can be solved exactly by a constant-depth quantum circuit restricted to a 2-dimensional grid of qubits using bounded fan-in gates but can't be solved by any sub-exponential size, constant-depth classical circuit using unbounded fan-in AND, OR, and NOT gates.While Bernstein–Vazirani's problem was designed to prove an oracle separation between complexity classes BQP and BPP, 2D HLF was designed to prove an explicit separation between the circuit classes and. (Wikipedia).

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Identifying Linear Functions

Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.

From playlist Algebra 1

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From playlist Introduction to Functions: Function Basics

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From playlist Differential Equations

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From playlist Exponential and Logarithmic Expressions and Equations

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From playlist Zill DE 4.1 Preliminary Theory - Linear Equations

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From playlist Differential Equations

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From playlist Introduction to Functions: Function Basics

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From playlist Pre-Calculus - Linear Functions

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From playlist Optimization

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From playlist Time Series Analysis

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From playlist Kaggle Reading Group | Kaggle

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From playlist GSS2012: Deep Learning, Feature Learning

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From playlist Explainability and Ethics

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From playlist Machine Learning

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Related pages

Bit array | Quantum logic gate | BPP (complexity) | AND gate | NC (complexity) | Fan-in | BQP | Search problem | Triangular matrix | Bernstein–Vazirani algorithm | OR gate | Quantum circuit | NOT gate | Complexity class