Consider a three-qubit quantum system, with each qubit described by the computational basis states |0⟩ and |1⟩. The system is in the following quantum state: (a) Find the reduced density matrix ρA for the first qubit (from the left) by tracing out the other two qubits. (b) Show that the state |Ψ⟩ is entangled by proving that it cannot be written as a product state of the form |ψA⟩ ⊗ |ψBC ⟩.
Consider a three-qubit quantum system, with each qubit described by the computational basis states |0⟩ and |1⟩. The system is in the following quantum state: (a) Find the reduced density matrix ρA for the first qubit (from the left) by tracing out the other two qubits. (b) Show that the state |Ψ⟩ is entangled by proving that it cannot be written as a product state of the form |ψA⟩ ⊗ |ψBC ⟩.
Computer Networking: A Top-Down Approach (7th Edition)
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Consider a three-qubit quantum system, with each qubit described by the computational basis states |0⟩ and |1⟩. The system is in the following quantum state:
(a) Find the reduced density matrix ρA for the first qubit (from the left) by tracing out the other two qubits.
(b) Show that the state |Ψ⟩ is entangled by proving that it cannot be written as a product state of the form |ψA⟩ ⊗ |ψBC ⟩.
![|) = (000)+1011) +1101)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bfda5ed-4f35-4e4d-8272-2d0d48953131%2F853acaa5-5b27-4111-90f6-6f17b9f2f633%2Fmcn2ul_processed.png&w=3840&q=75)
Transcribed Image Text:|) = (000)+1011) +1101)
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