Qubit, An Intuition #3 — Quantum Measurement, Full and Partial Qubits

TL;DR; 
Quantum measurement for full and partial qubits, with examples. Quantum state. Pure state.
Please refer to the previous articles:
Qubit, An Intuition #1 — First Baby Steps in Exploring the Quantum World” for a discussion on a single qubit as a computing unit for quantum computation.
- "Qubit, An Intuition #2 - Inner Product, Outer Product, and Tensor Product" for a discussion on two-qubits operations.

For an introductory helicopter view of the overall six articles in the series, please visit this link “Embarking on a Journey to Quantum Computing — Without Physics Degree.”

Qubit and Two-Qubits operations

Bra-ket notation for two-qubit operations: inner product, outer product, and tensor product.

The Quantum States & Pure States

A superposition state is a linear combination of multiple states such as |Ψ> = α|0> and β|1> for a qubit, with probabilities to be in that state are defined by its probability amplitudes α and β as |α|², β|², respectively. For two qubits, quantum state|ΨΦ> = αγ|00>, αδ|01>, βγ|10>, and βδ|11> are defined by its probability amplitudes α, β, γ, and δ as |αγ|², |αδ|², |βγ|², and |βδ|², respectively.

A pure state is a state, in which if we re-measure, we will always get that state again at 100% probability.

Full Qubits Quantum Measurement

Partial Qubits Quantum Measurement

Moving Forward

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