QuantumComputinglib learn · inspect · formalize
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QuantumComputingBench · graph-grounded exercise book

Phase Semantics

Start with dimensions, inner products, isometries and explicit conventions. The same foundations support state preparation, block encoding and later quantum-information arguments.

Back to Shared mathematical foundations

These links open the shared core's formal companion panel. Each card distinguishes admitted fixed-reference views from pending formalization. Preserve the exact core contract and split; a formal view is not another core.

test_public · counterexample · formal view pending

Exercise LA-016

For the real rotation R(theta)=[[cos(theta/2),-sin(theta/2)],[sin(theta/2),cos(theta/2)]], compare R(theta+2pi) and R(theta). A colleague claims the two full operators have distance0 because every output probability agre…

nl bridge from inspected source