Quantum mechanics in one slide Physics Math 11) a0)+B11〉 Physical System Unit Vector 10) Evolution Unitary Matrix Measurement → Projection A quantum bit Composition → Tensor Product (qubit) Classical: State space for 2 bits: 11) 11) combinations {00,01,10,11} Quantum: State space for 2 qubits: 0) space span{00),101),|10),|11)}Quantum mechanics in one slide Physics Math Composition Tensor Product Measurement Projection Evolution Unitary Matrix Physical System Unit Vector 1 0 1 0 Classical: Quantum: State space for 2 bits: combinations 00,01,10,11 State space for 2 qubits: space span 00 , 01 , 10 , 11 A quantum bit (qubit) 𝛼 0 + 𝛽 1 0 1 𝛽 𝛼 𝛼 1 1 0 0