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Lecture 18 Photon Entanglement and Teleportation

Lecture 18 Photon Entanglement and Teleportation. Reminder: Lecture notes taker: Zhou Fang HWK4 due date extended to 4/14 Monday Condensed Matter Seminar Friday 3:30pm on QD-Si energy transfer ( excitonic ). Course Outline. Part 1: basic review: Optics+Quantum;

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Lecture 18 Photon Entanglement and Teleportation

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  1. Lecture 18Photon Entanglement and Teleportation Reminder: Lecture notes taker: Zhou Fang HWK4 due date extended to 4/14 Monday Condensed Matter Seminar Friday 3:30pm on QD-Si energy transfer (excitonic)

  2. Course Outline Part 1: basic review: Optics+Quantum; Part 2: Basic Light-matter interaction; laser; Part 3: Quantum Optics of photons Part 4: More advanced light-matter interaction Part 5: Quantum information/photonics/ applications Subject to change; Check updates on course web/wiki

  3. Today’s Plan • Quantum Entanglement and Teleportation (photons) [FQ Chap 14] • Student Presentation of Special Topic: Boson Sampling (photons)

  4. Quantum Entanglement & Teleportation (of Photons) Beam Me Up Scotty? A Q&A about Quantum Teleportation with H. Jeff Kimble ---- Scientific American 2008

  5. Entangled States (“Bell States”) A “many-body” (at least 2 particles) state: Cannot be factored into “product” states (|particle1>|particle2> etc.) Example: (perfect positive correlation) (perfect negative correlation) • Can be generated from product state by CNOT gate Entanglement also important for many-body correlated quantum states, “topological order”, eg. in FQHE (cf. Haldane, Bernevig, …)

  6. Generate Entangled States (correlated photon pairs) Einstein-Podolsky-Rosen (EPR)-Bohm Individual measurement results: random yet correlated b/t two detectors

  7. Schrodinger Cat? But: Decoherence in macro object (environment)

  8. Generation of entangled photon pairs • Cascade in atomic transitions (eg. Ca) • Down-conversion in nonlinear crystal (“type-II”) Phase matching

  9. Single Photon Interferometer Hong-Ou-Mandel interferometer

  10. Quantum Theory of HBT Experiment (vac) (normal ordering) classical quantum for |1>=|n> (number state) for |1>=|> (coherent state) =1 input (=0 “anti-bunching” for single photon)

  11. “Which path” interferometer • Possibility to know  destroys interference

  12. “Bell’s theorem/inequality” (for local hidden variables) ---- violation proves no LHVs QM LHV Aspect’82 “in-flight” change no >c info

  13. Teleportation Quantum state (info), not the physical qubit/entity (eg. photon)

  14. EPR/Bell-assisted teleportation

  15. Nature390, 575-579 (11 December 1997) |doi:10.1038/37539; Received 16 October 1997; Accepted 18 November 1997 Experimental quantum teleportation Dik Bouwmeester1, Jian-Wei Pan1, Klaus Mattle1, Manfred Eibl1, Harald Weinfurter1& Anton Zeilinger1

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