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Linear Optical Quantum Computing

Exploring the challenges and solutions in implementing quantum teleportation using linear optics, focusing on qubits, unitary transformations, CZ gates, and success probabilities. Discussion includes proposed fixes, Bell measurements, entangled resources, and probability measurements for success. An overview of experimental realization and future prospects.

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Linear Optical Quantum Computing

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  1. -Rishabh Sahu Linear Optical Quantum Computing

  2. Summary • Qubits: (Dual-rail bits) |1> |0> |0> |1> |0> |1> • Single bit unitary transformation are trivial. • Two-bit gates are challenge as photons don’t interact.

  3. Two-qubit CZ gate > CZ> > Success probability is .

  4. Quantum Teleportation Fix • Proposed by Gottesman and Chuang, 1999 • Introduction Bell Measurement > > >

  5. Quantum Teleportation Fix • Several identities:

  6. Quantum Teleportation Fix > > CZ> > >

  7. Quantum Teleportation Fix > > CZ> > >

  8. Quantum Teleportation Fix > > CZ> > >

  9. Quantum Teleportation Fix > > CZ> > >

  10. Quantum Teleportation Fix > > CZ> > >

  11. Quantum Teleportation Fix > > OfflineSystem CZ> > >

  12. Quantum Teleportation using Linear Optics Dual-Railbit Entangled Resource : :

  13. Quantum Teleportation using Linear Optics QFT > Mode 1 > Mode 2 Entangled Resource

  14. Quantum Teleportation using Linear Optics Probability Measurement Output Mode Total probability of success = 2/3(for 3-dimensional system) For a n-dimensional system,success probability=

  15. Experimental Realization?

  16. Thank You

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