Multiparameter Estimation in Networked Quantum Sensors
Abstract
We introduce a general model for a network of quantum sensors, and we use this model to consider the question: When can entanglement between the sensors, and/or global measurements, enhance the precision with which the network can measure a set of unknown parameters? We rigorously answer this question by presenting precise theorems proving that for a broad class of problems there is, at most, a very limited intrinsic advantage to using entangled states or global measurements. Moreover, for many estimation problems separable states and local measurements are optimal, and can achieve the ultimate quantum limit on the estimation uncertainty. This immediately implies that there are broad conditions under which simultaneous estimation of multiple parameters cannot outperform individual, independent estimations. Our results apply to any situation in which spatially localized sensors are unitarily encoded with independent parameters, such as when estimating multiple linear or non-linear optical phase shifts in quantum imaging, or when mapping out the spatial profile of an unknown magnetic field. We conclude by showing that entangling the sensors can enhance the estimation precision when the parameters of interest are global properties of the entire network.
- Authors:
-
- Sandia National Lab. (SNL-CA), Livermore, CA (United States); Univ. of California, Berkeley, CA (United States)
- Univ. of Nottingham (United Kingdom); Univ. of Sussex, Brighton (United Kingdom)
- Univ. of Sussex, Brighton (United Kingdom)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1429719
- Alternate Identifier(s):
- OSTI ID: 1422465
- Report Number(s):
- SAND-2017-13642J
Journal ID: ISSN 0031-9007; PRLTAO; 659588; TRN: US1802617
- Grant/Contract Number:
- AC04-94AL85000; NA0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 8; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Proctor, Timothy J., Knott, Paul A., and Dunningham, Jacob A. Multiparameter Estimation in Networked Quantum Sensors. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.120.080501.
Proctor, Timothy J., Knott, Paul A., & Dunningham, Jacob A. Multiparameter Estimation in Networked Quantum Sensors. United States. https://doi.org/10.1103/PhysRevLett.120.080501
Proctor, Timothy J., Knott, Paul A., and Dunningham, Jacob A. Wed .
"Multiparameter Estimation in Networked Quantum Sensors". United States. https://doi.org/10.1103/PhysRevLett.120.080501. https://www.osti.gov/servlets/purl/1429719.
@article{osti_1429719,
title = {Multiparameter Estimation in Networked Quantum Sensors},
author = {Proctor, Timothy J. and Knott, Paul A. and Dunningham, Jacob A.},
abstractNote = {We introduce a general model for a network of quantum sensors, and we use this model to consider the question: When can entanglement between the sensors, and/or global measurements, enhance the precision with which the network can measure a set of unknown parameters? We rigorously answer this question by presenting precise theorems proving that for a broad class of problems there is, at most, a very limited intrinsic advantage to using entangled states or global measurements. Moreover, for many estimation problems separable states and local measurements are optimal, and can achieve the ultimate quantum limit on the estimation uncertainty. This immediately implies that there are broad conditions under which simultaneous estimation of multiple parameters cannot outperform individual, independent estimations. Our results apply to any situation in which spatially localized sensors are unitarily encoded with independent parameters, such as when estimating multiple linear or non-linear optical phase shifts in quantum imaging, or when mapping out the spatial profile of an unknown magnetic field. We conclude by showing that entangling the sensors can enhance the estimation precision when the parameters of interest are global properties of the entire network.},
doi = {10.1103/PhysRevLett.120.080501},
journal = {Physical Review Letters},
number = 8,
volume = 120,
place = {United States},
year = {2018},
month = {2}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 15 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
FIG. 1: A network of quantum sensors. The kth node represents a “sensor” into which the vector parameter θ[k] is encoded via a local unitary evolution. The connections between the nodes denote that, in general, the sensors can be entangled, and/or global measurements can be performed.
All figures and tables
(1 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Quantum multiparameter metrology with generalized entangled coherent state
journal, February 2016
- Liu, Jing; Lu, Xiao-Ming; Sun, Zhe
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 11
Advances in quantum metrology
journal, March 2011
- Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo
- Nature Photonics, Vol. 5, Issue 4
Minimum mean-squared error of estimates in quantum statistics
journal, July 1967
- Helstrom, C. W.
- Physics Letters A, Vol. 25, Issue 2
Optimal Measurements for Simultaneous Quantum Estimation of Multiple Phases
journal, September 2017
- Pezzè, Luca; Ciampini, Mario A.; Spagnolo, Nicolò
- Physical Review Letters, Vol. 119, Issue 13
The elusive Heisenberg limit in quantum-enhanced metrology
journal, January 2012
- Demkowicz-Dobrzański, Rafał; Kołodyński, Jan; Guţă, Mădălin
- Nature Communications, Vol. 3, Issue 1
Enhanced sensitivity of the LIGO gravitational wave detector by using squeezed states of light
journal, July 2013
- Aasi, J.; Abadie, J.; Abbott, B. P.
- Nature Photonics, Vol. 7, Issue 8
High sensitivity magnetic imaging using an array of spins in diamond
journal, April 2010
- Steinert, S.; Dolde, F.; Neumann, P.
- Review of Scientific Instruments, Vol. 81, Issue 4
Strong interaction between light and a single trapped atom without the need for a cavity
journal, October 2008
- Tey, Meng Khoon; Chen, Zilong; Aljunid, Syed Abdullah
- Nature Physics, Vol. 4, Issue 12
Estimation of unitary quantum operations
journal, February 2004
- Ballester, Manuel A.
- Physical Review A, Vol. 69, Issue 2
Fast live simultaneous multiwavelength four-dimensional optical microscopy
journal, August 2010
- Carlton, P. M.; Boulanger, J.; Kervrann, C.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 37
Field test of quantum key distribution in the Tokyo QKD Network
journal, January 2011
- Sasaki, M.; Fujiwara, M.; Ishizuka, H.
- Optics Express, Vol. 19, Issue 11
Direct and full-scale experimental verifications towards ground–satellite quantum key distribution
journal, April 2013
- Wang, Jian-Yu; Yang, Bin; Liao, Sheng-Kai
- Nature Photonics, Vol. 7, Issue 5
Quantum non-demolition detection of strongly correlated systems
journal, November 2007
- Eckert, Kai; Romero-Isart, Oriol; Rodriguez, Mirta
- Nature Physics, Vol. 4, Issue 1
Role of entanglement in calibrating optical quantum gyroscopes
journal, January 2017
- Kok, Pieter; Dunningham, Jacob; Ralph, Jason F.
- Physical Review A, Vol. 95, Issue 1
Improvement of Frequency Standards with Quantum Entanglement
journal, November 1997
- Huelga, S. F.; Macchiavello, C.; Pellizzari, T.
- Physical Review Letters, Vol. 79, Issue 20
Quantum Enhanced Estimation of a Multidimensional Field
journal, January 2016
- Baumgratz, Tillmann; Datta, Animesh
- Physical Review Letters, Vol. 116, Issue 3
Topological quantum computing with a very noisy network and local error rates approaching one percent
journal, April 2013
- Nickerson, Naomi H.; Li, Ying; Benjamin, Simon C.
- Nature Communications, Vol. 4, Issue 1
Quantum estimation of a two-phase spin rotation
journal, January 2013
- Vaneph, Cyril; Tufarelli, Tommaso; Genoni, Marco G.
- Quantum Measurements and Quantum Metrology, Vol. 1
Quantum multiparameter estimation with generalized balanced multimode NOON-like states
journal, March 2017
- Zhang, Lu; Chan, Kam Wai Clifford
- Physical Review A, Vol. 95, Issue 3
Estimation of SU(2) operation and dense coding: An information geometric approach
journal, December 2001
- Fujiwara, Akio
- Physical Review A, Vol. 65, Issue 1
Hybrid quantum devices and quantum engineering
journal, December 2009
- Wallquist, M.; Hammerer, K.; Rabl, P.
- Physica Scripta, Vol. T137
Magnetic field imaging with nitrogen-vacancy ensembles
journal, April 2011
- Pham, L. M.; Le Sage, D.; Stanwix, P. L.
- New Journal of Physics, Vol. 13, Issue 4
Fourier-transform terahertz near-field imaging of one-dimensional slit arrays: mapping of electric-field-, magnetic-field-, and Poynting vectors
journal, January 2007
- Seo, M. A.; Adam, A. J. L.; Kang, J. H.
- Optics Express, Vol. 15, Issue 19
Gaussian systems for quantum-enhanced multiple phase estimation
journal, October 2016
- Gagatsos, Christos N.; Branford, Dominic; Datta, Animesh
- Physical Review A, Vol. 94, Issue 4
Quantum Enhanced Multiple Phase Estimation
journal, August 2013
- Humphreys, Peter C.; Barbieri, Marco; Datta, Animesh
- Physical Review Letters, Vol. 111, Issue 7
Biological measurement beyond the quantum limit
journal, February 2013
- Taylor, Michael A.; Janousek, Jiri; Daria, Vincent
- Nature Photonics, Vol. 7, Issue 3
Quantum Error Correction for Metrology
journal, April 2014
- Kessler, E. M.; Lovchinsky, I.; Sushkov, A. O.
- Physical Review Letters, Vol. 112, Issue 15
Multi-parameter quantum metrology
journal, July 2016
- Szczykulska, Magdalena; Baumgratz, Tillmann; Datta, Animesh
- Advances in Physics: X, Vol. 1, Issue 4
Compatibility in multiparameter quantum metrology
journal, November 2016
- Ragy, Sammy; Jarzyna, Marcin; Demkowicz-Dobrzański, Rafał
- Physical Review A, Vol. 94, Issue 5
Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks
journal, September 2014
- Liu, Jing; Xiong, Heng-Na; Song, Fei
- Physica A: Statistical Mechanics and its Applications, Vol. 410
Local versus global strategies in multiparameter estimation
journal, December 2016
- Knott, P. A.; Proctor, T. J.; Hayes, A. J.
- Physical Review A, Vol. 94, Issue 6
Entanglement-enhanced probing of a delicate material system
journal, December 2012
- Wolfgramm, Florian; Vitelli, Chiara; Beduini, Federica A.
- Nature Photonics, Vol. 7, Issue 1
Entanglement generation in quantum networks of Bose–Einstein condensates
journal, September 2013
- Pyrkov, Alexey N.; Byrnes, Tim
- New Journal of Physics, Vol. 15, Issue 9
Quantum metrology with unitary parametrization processes
journal, February 2015
- Liu, Jing; Jing, Xiao-Xing; Wang, Xiaoguang
- Scientific Reports, Vol. 5, Issue 1
Quantum Fisher metric and estimation for pure state models
journal, May 1995
- Fujiwara, Akio; Nagaoka, Hiroshi
- Physics Letters A, Vol. 201, Issue 2-3
Optimal estimation of joint parameters in phase space
journal, January 2013
- Genoni, M. G.; Paris, M. G. A.; Adesso, G.
- Physical Review A, Vol. 87, Issue 1
General Optimality of the Heisenberg Limit for Quantum Metrology
journal, October 2010
- Zwierz, Marcin; Pérez-Delgado, Carlos A.; Kok, Pieter
- Physical Review Letters, Vol. 105, Issue 18
Fitting magnetic field gradient with Heisenberg-scaling accuracy
journal, December 2014
- Zhang, Yong-Liang; Wang, Huan; Jing, Li
- Scientific Reports, Vol. 4, Issue 1
Quantum Estimation for Quantum Technology
journal, January 2009
- Paris, Matteo G. A.
- International Journal of Quantum Information, Vol. 07, Issue supp01
High spatial and temporal resolution wide-field imaging of neuron activity using quantum NV-diamond
journal, May 2012
- Hall, L. T.; Beart, G. C. G.; Thomas, E. A.
- Scientific Reports, Vol. 2, Issue 1
Quantum illumination for enhanced detection of Rayleigh-fading targets
journal, August 2017
- Zhuang, Quntao; Zhang, Zheshen; Shapiro, Jeffrey H.
- Physical Review A, Vol. 96, Issue 2
Optimal frequency measurements with maximally correlated states
journal, December 1996
- Bollinger, J. J. .; Itano, Wayne M.; Wineland, D. J.
- Physical Review A, Vol. 54, Issue 6
Quantum-enhanced metrology for multiple phase estimation with noise
journal, August 2014
- Yue, Jie-Dong; Zhang, Yu-Ran; Fan, Heng
- Scientific Reports, Vol. 4, Issue 1
Proposed Robust Entanglement-Based Magnetic Field Sensor Beyond the Standard Quantum Limit
journal, October 2015
- Tanaka, Tohru; Knott, Paul; Matsuzaki, Yuichiro
- Physical Review Letters, Vol. 115, Issue 17
Quantum interferometry with and without an external phase reference
journal, January 2012
- Jarzyna, Marcin; Demkowicz-Dobrzański, Rafał
- Physical Review A, Vol. 85, Issue 1
Statistical distance and the geometry of quantum states
journal, May 1994
- Braunstein, Samuel L.; Caves, Carlton M.
- Physical Review Letters, Vol. 72, Issue 22
A new approach to the Cramér-Rao-type bound of the pure-state model
journal, March 2002
- Matsumoto, K.
- Journal of Physics A: Mathematical and General, Vol. 35, Issue 13
Joint estimation of phase and phase diffusion for quantum metrology
journal, April 2014
- Vidrighin, Mihai D.; Donati, Gaia; Genoni, Marco G.
- Nature Communications, Vol. 5, Issue 1
A quantum network of clocks
journal, June 2014
- Kómár, P.; Kessler, E. M.; Bishof, M.
- Nature Physics, Vol. 10, Issue 8
Controlling the Phase of a Light Beam with a Single Molecule
journal, August 2011
- Pototschnig, M.; Chassagneux, Y.; Hwang, J.
- Physical Review Letters, Vol. 107, Issue 6
Quantum-enhanced multiparameter estimation in multiarm interferometers
journal, July 2016
- Ciampini, Mario A.; Spagnolo, Nicolò; Vitelli, Chiara
- Scientific Reports, Vol. 6, Issue 1
Quantum estimation of magnetic-field gradient using W-state
journal, November 2014
- Ng, H. T.; Kim, K.
- Optics Communications, Vol. 331
Biological measurement beyond the quantum limit
conference, May 2013
- Taylor, Michael A.; Janousek, Jiri; Daria, Vincent
- 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC
Entanglement-enhanced probing of a delicate material system
conference, May 2013
- Wolfgramm, F.; Vitelli, C.; Beduini, F. A.
- 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC
Quantum Computation and Quantum Information
journal, August 2012
- Wang, Yazhen
- Statistical Science, Vol. 27, Issue 3
Entanglement-enhanced probing of a delicate material system
conference, January 2013
- Wolfgramm, F.; Vitelli, C.; Beduini, F. A.
- CLEO: QELS_Fundamental Science, CLEO: 2013
Quantum computation and quantum information†
journal, February 2006
- Nagy, Marius; Akl, Selim G.
- International Journal of Parallel, Emergent and Distributed Systems, Vol. 21, Issue 1
Quantum Non-Demolition Detection of Strongly Correlated Systems
text, January 2007
- Eckert, Kai; Romero-Isart, Oriol; Rodriguez, Mirta
- arXiv
High sensitivity magnetic imaging using an array of spins in diamond
text, January 2010
- Steinert, Steffen; Dolde, Florian; Neumann, Philipp
- arXiv
General optimality of the Heisenberg limit for quantum metrology
text, January 2010
- Zwierz, Marcin; Perez-Delgado, Carlos A.; Kok, Pieter
- arXiv
Advances in Quantum Metrology
text, January 2011
- Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo
- arXiv
Field test of quantum key distribution in the Tokyo QKD Network
text, January 2011
- Sasaki, M.; Fujiwara, M.; Ishizuka, H.
- arXiv
Quantum interferometry with and without an external phase reference
text, January 2011
- Jarzyna, Marcin; Demkowicz-Dobrzanski, Rafal
- arXiv
The elusive Heisenberg limit in quantum enhanced metrology
text, January 2012
- Demkowicz-Dobrzanski, Rafal; Kolodynski, Jan; Guta, Madalin
- arXiv
Quantum estimation of a two-phase spin rotation
text, January 2012
- Vaneph, Cyril; Tufarelli, Tommaso; Genoni, Marco G.
- arXiv
Quantum Enhanced Multiple Phase Estimation
text, January 2013
- Humphreys, Peter C.; Barbieri, Marco; Datta, Animesh
- arXiv
Entanglement generation in quantum networks of Bose-Einstein condensates
text, January 2013
- Pyrkov, Alexey N.; Byrnes, Tim
- arXiv
Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
text, January 2013
- Collaboration, The LIGO Scientific
- arXiv
Quantum Error Correction for Metrology
text, January 2013
- Kessler, Eric M.; Lovchinsky, Igor; Sushkov, Alexander O.
- arXiv
A quantum network of clocks
text, January 2013
- Kómár, Peter; Kessler, Eric M.; Bishof, Michael
- arXiv
Fitting magnetic field gradient with Heisenberg-scaling accuracy
text, January 2014
- Zhang, Yong-Liang; Wang, Huan; Jing, Li
- arXiv
Quantum metrology with unitary parametrization processes
text, January 2014
- Liu, Jing; Jing, Xiaoxing; Wang, Xiaoguang
- arXiv
Quantum multiparameter metrology with generalized entangled coherent state
text, January 2014
- Liu, Jing; Lu, Xiao-Ming; Sun, Zhe
- arXiv
Robust entanglement-based magnetic field sensor beyond the standard quantum limit
text, January 2014
- Tanaka, Tohru; Knott, Paul; Matsuzaki, Yuichiro
- arXiv
Quantum-enhanced multiparameter estimation in multiarm interferometers
text, January 2015
- Ciampini, Mario A.; Spagnolo, Nicolò; Vitelli, Chiara
- arXiv
Local versus Global Strategies in Multi-parameter Estimation
text, January 2016
- Knott, P. A.; Proctor, T. J.; Hayes, A. J.
- arXiv
Multi-parameter Quantum Metrology
text, January 2016
- Szczykulska, Magdalena; Baumgratz, Tillmann; Datta, Animesh
- arXiv
Optimal measurements for simultaneous quantum estimation of multiple phases
text, January 2017
- Pezzè, Luca; Ciampini, Mario A.; Spagnolo, Nicolò
- arXiv
A new approach to the Cramer-Rao type bound of the pure state model
text, January 1997
- matsumoto, Keiji
- arXiv
Works referencing / citing this record:
Attaining the Ultimate Precision Limit in Quantum State Estimation
journal, April 2019
- Yang, Yuxiang; Chiribella, Giulio; Hayashi, Masahito
- Communications in Mathematical Physics, Vol. 368, Issue 1
Distributed quantum sensing in a continuous-variable entangled network
journal, December 2019
- Guo, Xueshi; Breum, Casper R.; Borregaard, Johannes
- Nature Physics
Optimal Gaussian metrology for generic multimode interferometric circuit
journal, March 2019
- Matsubara, Teruo; Facchi, Paolo; Giovannetti, Vittorio
- New Journal of Physics, Vol. 21, Issue 3
Quantum Fisher information matrix and multiparameter estimation
journal, December 2019
- Liu, Jing; Yuan, Haidong; Lu, Xiao-Ming
- Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 2
Designing quantum experiments with a genetic algorithm
journal, October 2019
- Nichols, Rosanna; Mineh, Lana; Rubio, Jesús
- Quantum Science and Technology, Vol. 4, Issue 4
Continuous-variable entanglement distillation over a pure loss channel with multiple quantum scissors
journal, August 2019
- Seshadreesan, Kaushik P.; Krovi, Hari; Guha, Saikat
- Physical Review A, Vol. 100, Issue 2
Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks
journal, October 2019
- Qian, Kevin; Eldredge, Zachary; Ge, Wenchao
- Physical Review A, Vol. 100, Issue 4
Generalized-mean Cramér-Rao bounds for multiparameter quantum metrology
journal, February 2020
- Lu, Xiao-Ming; Ma, Zhihao; Zhang, Chengjie
- Physical Review A, Vol. 101, Issue 2
Distributed quantum sensing using continuous-variable multipartite entanglement
journal, March 2018
- Zhuang, Quntao; Zhang, Zheshen; Shapiro, Jeffrey H.
- Physical Review A, Vol. 97, Issue 3
Optimal measurements for quantum spatial superresolution
journal, July 2018
- Řeháček, J.; Hradil, Z.; Koutný, D.
- Physical Review A, Vol. 98, Issue 1
Multiparameter Gaussian quantum metrology
journal, July 2018
- Nichols, Rosanna; Liuzzo-Scorpo, Pietro; Knott, Paul A.
- Physical Review A, Vol. 98, Issue 1
Repeater-enhanced distributed quantum sensing based on continuous-variable multipartite entanglement
journal, January 2019
- Xia, Yi; Zhuang, Quntao; Clark, William
- Physical Review A, Vol. 99, Issue 1
Wave-Function Engineering for Spectrally Uncorrelated Biphotons in the Telecommunication Band Based on a Machine-Learning Framework
journal, September 2019
- Cui, Chaohan; Arian, Reeshad; Guha, Saikat
- Physical Review Applied, Vol. 12, Issue 3
Distributed Quantum Metrology with Linear Networks and Separable Inputs
journal, July 2018
- Ge, Wenchao; Jacobs, Kurt; Eldredge, Zachary
- Physical Review Letters, Vol. 121, Issue 4
Sensitivity Bounds for Multiparameter Quantum Metrology
journal, September 2018
- Gessner, Manuel; Pezzè, Luca; Smerzi, Augusto
- Physical Review Letters, Vol. 121, Issue 13
Towards Superresolution Surface Metrology: Quantum Estimation of Angular and Axial Separations
journal, April 2019
- Napoli, Carmine; Piano, Samanta; Leach, Richard
- Physical Review Letters, Vol. 122, Issue 14
Memory Effects in Quantum Metrology
journal, September 2019
- Yang, Yuxiang
- Physical Review Letters, Vol. 123, Issue 11
Standard Quantum Limit and Heisenberg Limit in Function Estimation
journal, January 2020
- Kura, Naoto; Ueda, Masahito
- Physical Review Letters, Vol. 124, Issue 1
Practical figures of merit and thresholds for entanglement distribution in quantum networks
journal, September 2019
- Khatri, Sumeet; Matyas, Corey T.; Siddiqui, Aliza U.
- Physical Review Research, Vol. 1, Issue 2
Distributed quantum metrology with a single squeezed-vacuum source
journal, November 2019
- Gatto, Dario; Facchi, Paolo; Narducci, Frank A.
- Physical Review Research, Vol. 1, Issue 3
Physical-Layer Supervised Learning Assisted by an Entangled Sensor Network
journal, October 2019
- Zhuang, Quntao; Zhang, Zheshen
- Physical Review X, Vol. 9, Issue 4
Quantum-enhanced measurements without entanglement
journal, September 2018
- Braun, Daniel; Adesso, Gerardo; Benatti, Fabio
- Reviews of Modern Physics, Vol. 90, Issue 3
Experimental multiphase estimation on a chip
journal, January 2019
- Polino, Emanuele; Riva, Martina; Valeri, Mauro
- Optica, Vol. 6, Issue 3
Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
conference, January 2018
- Zhuang, Quntao; Zhang, Zheshen; Shapiro, Jeffrey H.
- CLEO: QELS_Fundamental Science, Conference on Lasers and Electro-Optics
Multiparameter Gaussian Quantum Metrology
text, January 2017
- Nichols, Rosanna; Liuzzo-Scorpo, Pietro; Knott, Paul A.
- arXiv
Optimal measurements for quantum spatial superresolution
text, January 2017
- Rehacek, J.; Hradil, Z.; Koutny, D.
- arXiv
Attaining the ultimate precision limit in quantum state estimation
text, January 2018
- Yang, Yuxiang; Chiribella, Giulio; Hayashi, Masahito
- arXiv
Standard Quantum Limit and Heisenberg Limit in Function Estimation
text, January 2018
- Kura, Naoto; Ueda, Masahito
- arXiv
Heisenberg-Scaling Measurement Protocol for Analytic Functions with Quantum Sensor Networks
text, January 2019
- Qian, Kevin; Eldredge, Zachary; Ge, Wenchao
- arXiv
Physical-Layer Supervised Learning Assisted by an Entangled Sensor Network
text, January 2019
- Zhuang, Quntao; Zhang, Zheshen
- arXiv
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.