Basic Examples (7) 

Plot the Bloch sphere:

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Plot the Bloch sphere for a Bloch vector:

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Plot the Bloch sphere for some random Bloch vectors:

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Plot the Bloch sphere for the quantum state {Cos[π/6],-ⅇ^ⅈπ/4Sin[π/6]}:

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Plot the Bloch sphere for a list of random pure quantum states:

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Plot the Bloch sphere for a random density matrix:

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Plot the Bloch sphere for a list of random density matrices:

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Options (10) 

Add more great circles (also called parallels):

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Turn off great circles:

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Add more small circles (also called meridians):

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Turn off small circles:

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Show common labels in optics:

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Show customized labels:

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Customize labels positions:

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Turn off labels:

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Do not show axes:

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Force the state vector interpretation:

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Applications (2) 

Given an initial quantum state, plot the state after bit-flip and phase-flip errors:

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Given the initial Bloch vector {0,0,1}, plot the state rotation around y-axis by the angles {π/6,π/3,2π/3}:

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Possible Issues (3) 

The input should be a list of vectors as {x,y,z}ϵ ℝ², or state vectors {α,β}∈ ℂ² or density matrices:

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If the states are out of the Bloch sphere, it means they are not physically accessible states:

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A list of two state vectors can be also interpreted as a density matrix, such as {{1,0},{0,1}}:

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Force the state vector interpretation:

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Neat Examples (1) 

Plot a generic pure state as {Cos[θ/2],ⅇ^{ⅈ ϕ}Sin[θ/2]}:

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