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Bell State Laboratory

Derive, diagram, and interpret Bell-state preparation as both algebra and circuit.

Evaluation: rubric-based self-assessment and automatic workflow validation. No human review is provided.

Brief

Prepare |Phi+>, compute expected measurement counts, and explain why correlation does not imply messaging.

Prerequisites

  • Chapters 4-5
  • Tensor-product basis ordering
  • H and CNOT

Outcomes

  • Derive a Bell-state circuit
  • Analyze local and joint probabilities
  • Distinguish correlation from signaling

Deliverables

  • Circuit with control/target labels
  • State after each gate
  • Z and X basis tables
  • Separability argument
  • No-signaling interpretation

Milestones

  1. 1. Circuit sketch
  2. 2. State after each gate
  3. 3. Measurement table
  4. 4. No-signaling paragraph

Hints

  • Write |00>,|01>,|10>,|11> before every four-entry vector.
  • One-basis agreement alone is not a Bell test.
  • Compare local marginals separately from joint outcomes.

Rubric

  • Consistent basis order
  • Correct tensor-product algebra
  • Careful interpretation of correlation

Self-assessment prompts

  • Is CNOT convention explicit?
  • Does the algebra match the circuit?
  • Does the interpretation avoid controllable signaling?

Review guide / model structure

  1. 1. Circuit
  2. 2. State derivation
  3. 3. Measurement evidence
  4. 4. Entanglement test
  5. 5. Interpretation

Project workspace

Evaluation is rubric-based self-assessment. No human review is claimed.

Rubric self-assessment

Consistent basis order

Correct tensor-product algebra

Careful interpretation of correlation

Submission history

No final submissions yet.