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quantum-state-computational-two-qubit [August 22, 2026 at 22:09] – Ivan Janevskiquantum-state-computational-two-qubit [August 22, 2026 at 22:10] (current) – Ivan Janevski
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 ## The Four Computational States ## The Four Computational States
  
-1. **[[quantum-state-computational-00|Computational 00 (|00⟩)]]**: $|00\rangle$+- **[[quantum-state-computational-00|Computational 00 (|00⟩)]]**: $|00\rangle$
    - Both qubits in ground state    - Both qubits in ground state
    - Z eigenvalue: +1 on both qubits    - Z eigenvalue: +1 on both qubits
    - Default initial state    - Default initial state
  
-2. **[[quantum-state-computational-01|Computational 01 (|01⟩)]]**: $|01\rangle$+- **[[quantum-state-computational-01|Computational 01 (|01⟩)]]**: $|01\rangle$
    - First qubit ground, second excited    - First qubit ground, second excited
    - Z eigenvalue: +1 on first, -1 on second    - Z eigenvalue: +1 on first, -1 on second
  
-3. **[[quantum-state-computational-10|Computational 10 (|10⟩)]]**: $|10\rangle$+- **[[quantum-state-computational-10|Computational 10 (|10⟩)]]**: $|10\rangle$
    - First qubit excited, second ground    - First qubit excited, second ground
    - Z eigenvalue: -1 on first, +1 on second    - Z eigenvalue: -1 on first, +1 on second
  
-4. **[[quantum-state-computational-11|Computational 11 (|11⟩)]]**: $|11\rangle$+- **[[quantum-state-computational-11|Computational 11 (|11⟩)]]**: $|11\rangle$
    - Both qubits in excited state    - Both qubits in excited state
    - Z eigenvalue: -1 on both qubits    - Z eigenvalue: -1 on both qubits
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 All four computational states are: All four computational states are:
 +
 - **Separable**: factorize into single-qubit products (no entanglement) - **Separable**: factorize into single-qubit products (no entanglement)
 - **Eigenstates of Z**: measurement in Z basis always yields definite outcome - **Eigenstates of Z**: measurement in Z basis always yields definite outcome
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 Superpositions of computational states create quantum phenomena: Superpositions of computational states create quantum phenomena:
 +
 - Equal superposition of all four states: $\frac{1}{2}(|00\rangle + |01\rangle + |10\rangle + |11\rangle)$ - Equal superposition of all four states: $\frac{1}{2}(|00\rangle + |01\rangle + |10\rangle + |11\rangle)$
 - [[quantum-state-bell|Bell states]] are maximally entangled superpositions of computational states - [[quantum-state-bell|Bell states]] are maximally entangled superpositions of computational states
quantum-state-computational-two-qubit.1787436577.md.gz · Last modified: by Ivan Janevski