Quantum state

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Community · Bloch sphere

Summary

In quantum physics, a quantum state is a mathematical entity that represents a physical system.

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defines the points on the surface of the sphere
Every point on the surface of the Bloch sphere corresponds to a unique pure state of a qubit, representing a state with zero uncertainty.
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Physical representation within a Hilbert space
In quantum mechanics, the state of a physical system is represented by a unit vector in a complex Hilbert space.
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The physical entity being transferred during the teleportation process
Quantum teleportation is defined as the transfer of an unknown quantum state from one location to another using entanglement and classical communication.
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physical system described by entropy
Von Neumann entropy provides a quantitative measure of the statistical uncertainty inherent in a given quantum state.
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defines the physical manifestation of a qudit
A qudit is a specific type of quantum state that exists in a d-dimensional space, characterized by its superposition of basis states.
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is the entity being preserved by error correction
Quantum error correction aims to maintain the integrity of a quantum state against perturbations that would otherwise destroy its superposition and entanglement.
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vector representation of a superposition
In quantum mechanics, a superposition is represented as a state vector in a complex Hilbert space, where the coefficients of the basis states determine the probability amplitudes.
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Facts