Minimal math for quantum foundations

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The minimum viable math for quantum foundations — linear algebra, probability, and complex numbers — enough fluency to recognize what's happening when Bell or Norsen writes down a two-qubit state or a unitary operator. That's weeks, not years.

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done when you can

Read Ĥ|ψ⟩ = E|ψ⟩ and know what it's saying (an eigenvalue equation).Recognize a unitary operator as "a rotation in a complex vector space."Recognize a tensor product as "how you build a joint state from two subsystems."Compute basic Bayesian updates.Not be intimidated when a paper introduces complex amplitudes.

resources

●Introduction to Linear Algebra— Gilbert Stranganchor · book
○MIT OCW 18.06 lectures— Gilbert Stranganchor · video series
●Seeing Theory— Daniel Kunincompanion · blog post
○Naked Statistics— Charles Wheelancompanion · book
○Visual Complex Analysis— Tristan Needhamcompanion · book
○3Blue1Brown video on complex numbers— 3Blue1Brown (Grant Sanderson)companion · video series

sessions

unlocks The entire Quantum page. Unit 5 of this page. All Aaronson, Bell, Norsen without hitting a math wall.

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