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Purdue University Spring 2016 Prof. Yong P. Chen Lecture 18 (3/24/2016) Slide Introduction to Quantum Photonics.

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Presentation on theme: "Purdue University Spring 2016 Prof. Yong P. Chen Lecture 18 (3/24/2016) Slide Introduction to Quantum Photonics."— Presentation transcript:

1 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 1yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Lecture 26 Selected concepts & topics in Quantum Photonics and Quantum Computing Read: FQ 6-7, 13, Appendix E

2 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 2yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Colloquium on Thursday "Quantum optics with ultra-cold atoms” (Alex Kuzmich, Michigan) PHYS 203, 3:30pm Abstract: The advent of laser cooling thirty years ago enabled studies of properties of ultra-cold atomic gases and led to their applications in metrology and quantum information. Against this backdrop, in the last decade a world-wide effort in using ultra-cold atoms as nonlinear media for single photons has emerged. The near-ideal character of interaction between light and atomic ensembles cooled to micro-Kelvin-scale temperatures permits realization of textbook quantum-optical Hamiltonians while coupling to unwanted environments can be nearly eliminated. In this way ultra-cold atoms have been used for generation of single-photon and entangled light fields, their wavelength conversion and entanglement with atoms, and realization of many-body dynamics and long-term storage of quantum states. Besides offering a rich new system for studying quantum mechanics, these advances may find applications in future information distribution and processing systems.

3 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 3yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Exam 2 & Paper reminder Monday May 2 (5/2) evening 7-9pm in PHYS 338 Paper (or presentation) --- by 5/6 Fri 11:59pm

4 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 4yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Course evaulation www.purdue.edu/eval Course Num - Sec Course Name Number Expected Number Received Survey Open Survey Close PHYS52200 - 001Cohr Optcs Quant Elect83 Apr 18 1:00 AM May 1 11:59 PM

5 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 5yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Squeezed State/Light Generate squeezed state/light: Degenerate parametric amplifier 2 nd harmonic generation (amplitude squeezing) Optomechanics … http://physics.aps.org/articles/v6/95 (phase sensitive amplification)

6 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 6yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Detection of Squeezed Light Homodyne detection (quadrature squeezed light) Sub-shot noise to super-shot noise (from squeezed to stretched quad)

7 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 7yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Amplitude squeezed light

8 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 8yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Generation & detection of amplitude squeezed light (example: freq. doubling – intensity dependent)

9 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 9yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Classical gate operation

10 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 10yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ “Quantum register”

11 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 11yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Quantum parallelism 2N2N

12 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 12yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ 1-qubit gate (Bloch sphere rotation)

13 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 13yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ 1-qubit gates + controlled unitary gate (eg. CNOT)  quantum computer

14 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 14yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

15 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 15yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ CNOT gate: an implementation “interacting qubits”

16 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 16yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Decoherence & Gate Operation Time Quantum error correction Fault-tolerant QC

17 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 17yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Topological quantum computing (TQC) ? Candidate systems: Fractional quantum Hall (GaAs 2DES) topological insulator (e.g. BiSbTeSe2)+superconductor spin-orbit semiconductor (e.g. InSb) +superconductor …. G. Collins, Scientific American ‘06 Non-Abelian statstics (2D) Topological quantum computing Purdue has the most complete and highest quality material set of “majorana/TQC candidate” Promise to be more immune to decoherence “fault-tolerant” 24,25

18 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 18yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ What can quantum computers compute? Deutsch algorithm Grover search algorithm Shor algorithm Quantum simulation Quantum repeater [new quantum algorith]

19 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 19yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Deutsch algorith “coin” check anolog

20 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 20yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ DiVincenzo criteria

21 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 21yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ (  L ~  )

22 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 22yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Larmor Precession

23 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 23yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ (NMR) Rotating Frame (Rabi oscillation)

24 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 24yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ (NMR) Bloch Equation Optical analogue: optical Bloch equation

25 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 25yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Pauli Matrices (spin-1/2) BxBx ByBy BzBz Simplest way to understand 2-level TDSE (after rotating frame)

26 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 26yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Vandersypen LMK, Steffen M, Breyta G, Yannoni CS, Sherwood MH, Chuang IL (2001). "Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance". Nature 414 (6866): 883–887

27 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 27yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

28 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 28yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

29 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 29yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

30 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 30yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

31 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 31yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

32 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 32yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

33 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 33yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

34 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 34yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ 15=3x5

35 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 35yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

36 Purdue University Spring 2016 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 18 (3/24/2016) Slide 36yongchen@purdue.edu Introduction to Quantum Photonics & Quantum Optics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/

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