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Linear Optical Quantum Computing

-Rishabh Sahu. Linear Optical Quantum Computing. 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. Two-qubit CZ gate. >. CZ >. >. Success probability is.

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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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