Quantum Optical Computing, Imaging, and Metrology quantum.phys.lsu.edu Hearne Institute for Theoretical Physics Quantum Science and Technologies Group Louisiana State University Baton Rouge, Louisiana USA PQE 05 JAN 2011, Snowbird, UT Dowling JP, “Quantum Optical Metrology — The Lowdown On High-N00N States,” Contemporary Physics 49 (2): 125-143 (2008). Ionatán Pádraig O’Dúnlaing
29
Embed
Quantum Optical Computing, Imaging, and Metrologybaton.phys.lsu.edu/~jdowling/talks/SLC11-PQE.pdfQuantum Optical Computing, Imaging, and Metrology quantum.phys.lsu.edu Hearne Institute
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Jönåthán Påtrîck Døwlîng
Quantum Optical Computing,Imaging, and Metrology
quantum.phys.lsu.edu
Hearne Institute for Theoretical PhysicsQuantum Science and Technologies Group
Louisiana State UniversityBaton Rouge, Louisiana USA
PQE 05 JAN 2011, Snowbird, UT
Dowling JP, “Quantum Optical Metrology — The Lowdown On High-N00NStates,” Contemporary Physics 49 (2): 125-143 (2008).
12:20 Petr M. AnisimovLouisiana State University‘‘Squeezing the Vacuum and beatingHeisenberg: Limits? Where we’re goingwe do not need any limits!’’
12:00 Christoph Wildfeuer & A. MigdallNIST & Louisiana State University ‘‘Techniques for enhancing theprecision of measurements with photonnumber resolving detectors’’
12:40 E. E. Mikhailov & I. NovikovaCollege of William and Mary‘‘Generation of squeezed vacuum withhot and ultra-cold Rb atoms’’
20:50 Geoff PrydeGriffith University, AUS‘‘Optimal multiphoton phasesensing and measurement’’
21:10 J. C. F. Matthews & J. L. O’BrienUniversity of Bristol, UK‘‘Entangled Multi-Photon States inWaveguide for Quantum Metrology’’
21:30 Kevin McCusker & Paul KwiatUniversity of Illinois‘‘Efficient Quantum Optical StateEngineering’’
21:50 Xi WangTexas A&M University‘‘Self-Implemented Heterodyne CARSby Using Its Intrinsic Background’’
Loss in Quantum SensorsSD Huver, CF Wildfeuer, JP Dowling, Phys. Rev. A 78 # 063828 DEC 2008
!N00N
Generator
Detector
Lostphotons
Lostphotons
La
Lb
Visibility:
Sensitivity:
! = (10,0 + 0,10 ) 2
! = (10,0 + 0,10 ) 2
!
SNL---
HL—
N00N NoLoss —
N00N 3dBLoss ---
Super-LossitivityGilbert, G; Hamrick, M; Weinstein, YS; JOSA B 25 (8): 1336-1340 AUG 2008
!" =!P̂
d P̂ / d"
3dB Loss, Visibility & Slope — Super Beer’s Law!
N=1 (classical)N=5 (N00N)
dP1 /d!
dPN /d!
ei! " eiN! e#$L " e#N$L
Loss in Quantum SensorsS. Huver, C. F. Wildfeuer, J.P. Dowling, Phys. Rev. A 78 # 063828 DEC 2008
!N00N
Generator
Detector
Lostphotons
Lostphotons
La
Lb
!
Q: Why do N00N States “Suck” in the Presence of Loss?
A: Single Photon Loss = Complete “Which Path” Information!
N A 0 B + eiN! 0 A N B " 0 A N #1 B
A
B
Gremlin
Towards A Realistic Quantum SensorS. Huver, C. F. Wildfeuer, J.P. Dowling, Phys. Rev. A 78 # 063828 DEC 2008
Try other detection scheme and states!
M&M Visibility
!M&M
Generator
Detector
Lostphotons
Lostphotons
La
Lb
! = ( m,m' + m',m ) 2M&M state:
! = ( 20,10 + 10,20 ) 2
! = (10,0 + 0,10 ) 2
!
N00N Visibility
0.05
0.3
M&M’ Adds Decoy Photons
!M&M
Generator
Detector
Lostphotons
Lostphotons
La
Lb
! = ( m,m' + m',m ) 2M&M state:
!
M&M State —N00N State ---
N00N HL —M&M HL —
M&M SNL ---
N00N SNL ---
A FewPhotons
LostDoes Not
GiveComplete
“Which Path”
Towards A Realistic Quantum SensorS. Huver, C. F. Wildfeuer, J.P. Dowling, Phys. Rev. A 78 # 063828 DEC 2008
Super-Resolution at the Shot-Noise Limit with Coherent Statesand Photon-Number-Resolving Detectors
J. Opt. Soc. Am. B/Vol. 27, No. 6/June 2010
Y. Gao, C.F. Wildfeuer, P.M. Anisimov, H. Lee, J.P. Dowling
We show that coherent light coupled with photon numberresolving detectors — implementing parity detection —produces super-resolution much below the Rayleighdiffraction limit, with sensitivity at the shot-noise limit.
ClassicalQuantum
ParityDetector!
Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
PRL 104, 103602 (2010)PM Anisimov, GM Raterman, A Chiruvelli, WN Plick, SD Huver, H Lee, JP Dowling
We show that super-resolution and sub-Heisenberg sensitivity isobtained with parity detection. In particular, in our setup, dependenceof the signal on the phase evolves <n> times faster than in traditionalschemes, and uncertainty in the phase estimation is better than 1/<n>.
Parity detection in quantum optical metrologywithout number-resolving detectors
New Journal of Physics 12 (2010) 113025, 1367-2630/10/113025+12$30.00
William N Plick, Petr M Anisimov, Jönåthán P Døwlîng, Hwang Lee, and Girish S Agarwal
Abstract. We present a method fordirectly obtaining the parity of aGaussian state of light withoutrecourse to photon-number counting.The scheme uses only a simplebalanced homodyne technique andintensity correlation. Thusinterferometric schemes utilizingcoherent or squeezed light and paritydetection may be practicallyimplemented for an arbitrary photonflux.