QUANTUM PHYSICS & COMPUTING

Bloch sphere pure state The

uses two angles to represent the single-qubit pure state, omitting the global phase.

∣ψ⟩=cos⁡θ2∣0⟩+eiϕsin⁡θ2∣1⟩|\psi\rangle=\cos\frac\theta2|0\rangle+e^{i\phi}\sin\frac\theta2|1\rangle

symbols, variables and units

θ∈[0,π], φ∈[0,2π): rad; amplitude is dimensionless.

applicable conditions and boundaries

is used only for single-bit pure states; mixed states are represented by density matrices within the sphere.

formula source code

The following is a copyable LaTeX expression.

|\psi\rangle=\cos\frac\theta2|0\rangle+e^{i\phi}\sin\frac\theta2|1\rangle

Reference and Extended Learning

IBM Quantum Learning · Basics of Quantum Information ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

Bloch spherequbit

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