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In quantum mechanics and computing, the Bloch sphere is a geometrical representation of the pure state space of a two-level quantum mechanical system (qubit), named after the physicist Felix Bloch. [1] Mathematically each quantum mechanical system is associated with a separable complex Hilbert space .
We call this sphere the Bloch sphere, and the unit vector \vec{s} defined by \theta and \varphi the Bloch vector. This is a very useful way to visualise quantum states of a single qubit and unitary operations that we perform on it.
Sep 4, 2015 · It is usually said that the points on the surface of the Bloch sphere represent the pure states of a single 2-level quantum system. A pure state being of the form: And typically the north and south poles of this sphere correspond to the and states. Image: ("Bloch Sphere" by Glosser.ca - Own work.
Feb 7, 2021 · Put in a sentence, the Bloch sphere is a geometric representation of the aforementioned “quantum states” on the surface of a 3d unit sphere, which helps researchers understand...
Jul 6, 2018 · Bloch sphere is a physical representation of all possible qubit states. Each qubit is in its essence a vector on Bloch’s sphere. Each vector on the sphere can be represented in two basis: θ and ϕ.
3 days ago · Bloch sphere. October 29, 2024 at 16:10 Tags Math. When learning the basics of quantum computing, the Bloch sphere comes early on as a visualization technique of quantum states. It shows the state of a single qubit as a point on this sphere: This post explains how the Bloch sphere works and also why it works.
The Bloch Sphere is a geometrical representation of the state space of a qubit, visualizing its possible states as points on the surface of a sphere. It connects to important concepts in quantum mechanics, such as superposition and entanglement, by illustrating how qubit states can be manipulated through quantum gates, making it a crucial tool ...
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