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Jelena Vuckovic, StanfordStanford University
Optimized photonics:
from efficient computing to connecting
quantum processors
Samsung, San Jose, Feb. 21, 2018
Jelena Vuckovic
Jelena Vuckovic, Stanford
Photonics – emerging applications
Optical neural networkY. Shen et al, Nature Photonics 11, 441–
446 (2017)
On chip optical interconnects (C. Sun et al, Nature 528, 534–538 (2015)
2
But state of the art photonics is:
• Lossy: ~1pJ/bit (same as electronics)
• Bulky
• Very sensitive to fabrication and temperature errors => post tuning, heaters
Jelena Vuckovic, Stanford
Present photonics
3
• Optical components are currently designed by tuning a small
number of design parameters by optics experts
• They are large, inefficient, and very sensitive to environment
(temperature, fabrication imperfections…)
• Most of them are not optimal• Limited functionality
Lipson (Cornell/Columbia) Watts (MIT) JV (Stanford)
Jelena Vuckovic, Stanford 4
• Better device performance than what we know today
• Ultra-compact footprints
• Robust to fabrication errors, temperature variations
• Novel functionality
• No brute force design, manual parameter tuning
• Nanophotonic expertise not necessary in design process
Could we design and make better photonics?
J. Lu and J. Vuckovic, Optics Express Vol. 21, 11, pp. 13351-13367 (2013)
Developed a design method for any 3D linear nanophotonic
device: “objective first”, followed by adjoint optimization
1.3 m
1.5m
Fabricated device with superimposed E-fields
2.8 m
Other groups working on adjoint (gradient based) optimization in photonics:
S. Johnson (MIT), S. Fan (Stanford), Yablonovitch (UCB), Sigmund (DTU), Rodriguez
(Princeton),… Other approaches: Savona (EPFL), Lipson (Columbia), Lalanne (CNRS), Menon
(Utah)…
Jelena Vuckovic, Stanford
• Full parameter space is enormous => hand-tuning and brute
force search won’t work!
• Include/exclude per pixel gives us possibilities
237-digit number
784)28( 222
5
Broadband wavelength splitter design
2.8m
(100nm)2
pixel
• Full parameter space design must be design by specification!
Jelena Vuckovic, Stanford
Broadband wavelength splitter design
6
Nature Photonics 9, 374–377 (2015)
optimization techniques
applied to physics
(nanophotonic structures)
Jelena Vuckovic, Stanford
Broadband wavelength splitter
Robust, broadband, designed
for SOI
Nature Photonics 9, 374–377 (2015) 7
Jelena Vuckovic, Stanford
Fabrication – broadband wavelength splitter
8
Nature Photonics 9, 374–377 (2015)
Jelena Vuckovic, Stanford 9
Nature Photonics 9, 374–377 (2015)
Fabrication – broadband wavelength splitter
Jelena Vuckovic, Stanford
Experimental demonstration
Experiment
(3 devices
plotted
together)
Theory
10
Nature Photonics 9, 374–377 (2015)
Jelena Vuckovic, Stanford
Robust design
Optics Express Vol. 21, 11, pp. 13351-13367 (2013)
temperature robustness
fabrication imperfections
1.5 m
1.3m
11
Jelena Vuckovic, Stanford
Fabrication constraints?
12
Nature Photonics 9, 374–377 (2015)
Jelena Vuckovic, Stanford
Spatial mode splitter
• conversion efficiencies into the upper and
lower output arms: 88.7% and 77.4%
• rejection powers for the same modes: 0.27%
and 0.20%.
• Device footprint is 2.8×2.8 microns
Optics Express Vol. 21, 11, pp. 13351-13367 (2013)
Jelena Vuckovic, Stanford
Fabrication constrained design: mode splitter
• minimum radius of curvature of 40 nm
• minimum gap or bridge width of 90 nm
Scientific Reports, May 2017
Jelena Vuckovic, Stanford
3-way power splitter
Min. rad. of
curvature:
40nm
Min. gap /
bridge width:
90nm
15
simulationexperiment
Scientific Reports, May 2017
Jelena Vuckovic, Stanford
3-port wavelength demultiplexer
Su et al, ACS Photonics, ASAP (2017)
Jelena Vuckovic, Stanford
3-port wavelength demultiplexer
Su et al, ACS Photonics, ASAP (2017)
Jelena Vuckovic, Stanford
10-port wavelength demultiplexer - preliminary
4 x 12 microns
Min feature: 80 nm
N. Sapra, L. Su et al
Jelena Vuckovic, Stanford
Better grating couplers
19
0.18dB loss for fabricable structures!
(97% coupling efficiency)
Su et al, Optics Express 26, 4023-4034 (2018)
Jelena Vuckovic, Stanford
Inverse design of better cavities
𝑄~80,000
𝑉~0.12 𝜆 𝑛 3
Lu, Boyd, and
Vuckovic, Optics Express, 19,
pp. 10563-10570 (2011).
Jelena Vuckovic, Stanford
Photonics can be robust and insensitive to errors
A. Piggot
et al,
Nature
Photonics
(2015)
L. Su et al,
ACS
Photonics
(2017)
Jelena Vuckovic, Stanford
• Full parameter space adjoint (gradient descent) optimization in 3D (not fixed
geometry optimization)
• Use of 3D FDFD (homemade) on GPUs to dramatically speed up optimization
• Objective first approach (initial condition)
• Design of robust structures (temperature, fabrication errors)
• Lu &Vuckovic, Optics Express 21, pp. 13351-13367 (2013);
Optics Express 20, pp. 7221-7236 (2012)
• Lu, Boyd, & Vuckovic, Optics Express, 19, pp. 10563-10570 (2011)
• First experimental demonstrations of such structures
• Piggott, Lu, Babinec, Lagoudakis, Petykiewicz, Vuckovic,
Scientific Reports 4, 7210, (2014);
Nature Photonics 9, 374–377 (2015)
• Fabrication constrained inverse design
• Variety of optimization algorithms (higher order gradient
descent, biasing, etc)
• Piggott, Petykiewicz, Su & Vučković. Scientific Reports 7, 1786 (2017)
• Su, Piggott, Sapra, Petykiewicz, Vuckovic (2017) (arXiv:1709.08809)
Our inverse design approach
22
Jelena Vuckovic, Stanford
SiC
5 um
Ge
Present nanophotonics
1m
~200 nmDiamond
GaPGaP
23
GaAs
GaAsdiamond
Jelena Vuckovic, Stanford
24
3 way power splitterWavelength demultiplexers
Broadband grating coupler
1.3 m
1.5m
Fabricated device with superimposed E-fields
2.8 m
Jelena Vuckovic, Stanford
Quantum processors
IBM, Google – 50 qubits
Harvard-MIT, 51-atom quantum simulator
• Scaling is hard
• Bulky, fragile systems; operation at mK temperature
• Noisy intermediate scale quantum technology (NISQ) [J. Preskill, arXiv:1801.00862]
Lucas and Steane groups
Jelena Vuckovic, Stanford
Multi-core quantum processors?
26
C. Monroe, J. Kim, Science 339, 1164 (2013)
Quantum optical
connections needed!
Jelena Vuckovic, Stanford
Quantum processors in friendlier environments?
27
@ SciFoo 2017
Jelena Vuckovic, Stanford
Circuit
QED
Gate-
defined QDs
Trapped
ions
Self-
assembled
QDs
SiV in
diamond
VSi in silicon
carbide
Coherence time
(T2)
50 µs 30 ms 50 s 2 µs 1 ms 75 ms
Single qubit gate
time
10 ns 40 ns 1 µs 10 ps 1 ns 50 ns
2 (identical)
qubits gate time
50 ns 10 µs 50 µs 300 ps *1 ns *8 ns
1-qubit fidelity 99.92% 99.95% 99.9999% 98% 95% -
2-qubit fidelity 99.4% 90% 99.9% 80% - -
# of 2-qubit
operations
1,000 3,000 1,000,000 10,000 *1,000,000 *9,000,000
Scalable? YES YES MAYBE MAYBE YES YES
Optical
interface?
MAYBE MAYBE YES YES YES YES
[Martinis/Google][Monroe/ JQI] [Vuckovic/ Stanford][Marcus/NBI,
Petta/Princeton]
[Vuckovic/Stanford,
Loncar/Harvard]
500 nm
[Vuckovic/Stanford,
Wrachtrup/Stuttgart]
Qubits &
properties
Jelena Vuckovic, Stanford
Quantum dots in optical cavities
LIGHT: Optical cavity MATTER: quantum dot
GaAs
InAs5nm
250nm
AFM
TEM (Finley, TUM)
Experiment:
Q=25300,
V~0.7(/n)3
Resonator
spectrum
wavelength [nm]
2
~5 m
910 914 9180
200
400
600
800
Inte
nsity (
arb
. u
nits)
Wavelength (nm)
~2
QD
spectrum
29
Jelena Vuckovic, Stanford
Quantum dots in optical cavities
30
Strong coupling
• g exceeds loss rates (/2, /2)
All rates in GHz regime => GHz speed
(dipole decay)
=/2Q (cavity decay rate)
g~1/V0.5 (QD-cavity coupling strength)
Jelena Vuckovic, Stanford
Laser – classical (Poissonian) light source
31
• Number of photons per pulse not fixed
• Emitted photons obey Poisson statistics
Laser
13 ns
3 ps
Time (t)
Photon
number
N(t)
13 ns
HBT setup• Coincident clicks of
2 detectors
• 2nd order auto-
correlation function
g (2) (0)=1
1
!N
neNP
Nn
Jelena Vuckovic, Stanford
1
Single photon source (non-classical)
32
• Number of photons per pulse = 1
Single photon source
13 ns
HBT setup • g(2)(0)= 0 (ideal)
(probability of detecting 2
photons at the same
time)
Time (t)
Photon
number
N(t)
13 ns
1
• Non-ideal (sub-Poissonian):
0<g(2)(0)<1
Jelena Vuckovic, Stanford
Bosonic interference
Nature, vol. 419, pp. 594-597, 2002
Used to measure photon
indistinguishabulity and build
large entangled states
Jelena Vuckovic, Stanford
Multi-photon probability =0?
34arXiv:1801.01672
Collaboration with TU Munich, Mueller & Finley groups
Jelena Vuckovic, Stanford
Why are quantum dots hard to scale?
Site and size control –
key to scalability
250nm
• Random positions
• Random sizes and shapes =>
inhomogeneous broadening
35
910 914 9180
200
400
600
800
In
ten
sity (
arb
. u
nits)
Wavelength (nm)
~2
Single QD
spectrum
904 906 908 910 912 914 9160
10
20
30
Wavelength (nm)
PL I
nte
nsity (
kcps)
Ensemble of QDs
Jelena Vuckovic, StanfordNano Letters 16 (1), pp. 212-217 (2016)
SiV in
Optica 4 (11), 1317-1321 (2017)
Coherent
control of a
single SiV
With ZX Shen, N.Melosh, S.Chu (Stanford)
Vsi in 4H SiC
36
4H-SiC
With Wrachtrup (Stuttgart), Janzen,
Son (Linkoping), Ohshima (Japan)
Nano Letters 17 (3) , pp 1782–1786 (2017)
• Vsi spin control at room T
• Optical interface
Jelena Vuckovic, Stanford
Cavity QED with SiV in diamond
37
Collaboration with Marko Loncar, Harvard
L. Zhang et al, Nano Letters, ASAP (2018)
Jelena Vuckovic, Stanford
Cavity QED with SiV in diamond
0 1.84
194 8on ps
ns 42.4x
increase
in PL
Cooperativity C=1.4
g/2= 5 GHz, /2=25GHz, /2 ~1GHz
Reduce V by 1.5x, increase Q by 2x to make g> /2
L. Zhang et al, Nano Letters, ASAP (2018)
Jelena Vuckovic, Stanford
Scalable photonics with single color centers in SiC
500 nm
10 µm
39
Collaboration with Wrachtrup, Jenzen, Oshima groups
Nano Letters 17 (3) , pp 1782–1786 (2017)
Jelena Vuckovic, Stanford 40
Single photon emission from
VSi- in nanopillar
Optically detected magnetic resonance
from VSi- in nanopillar
Scalable photonics with single color centers in SiC
Nano Letters 17 (3) , pp 1782–1786 (2017)
Jelena Vuckovic, Stanford
• We’ve made remarkable progress, but quantum hardware
still has to be improved
• Like classical photonics, we perform intuition driven design,
use standard components from microwave and optical
engineering
• Can we use AI
techniques to build better
quantum hardware?
[Martinis/Google][Monroe/ JQI] [Vuckovic/ Stanford][Marcus/NBI,
Petta/Princeton]
[Vuckovic/Stanford,
Loncar/Harvard]
500 nm
[Vuckovic/Stanford,
Wrachtrup/Stuttgart]
Jelena Vuckovic, Stanford http://nqp.stanford.edu
+ recent alumni: Jesse Lu (Google),
Jan Petykiewicz (Global Foundries),
Kai Mueller (TUM)