2000 character limit reached
Heisenberg-scaling sensitivity in the estimation of two parameters in a Mach-Zehnder interferometer (2405.17115v2)
Published 27 May 2024 in quant-ph
Abstract: Achieving the ultimate quantum precision in the estimation of multiple physical parameters simultaneously is a challenge in quantum metrology due to fundamental limitations and experimental challenges in harnessing the necessary quantum resources. We propose an experimentally feasible scheme to reach Heisenberg limited sensitivity in the simultaneous estimation of two unknown phase parameters in a Mach-Zehnder interferometer by using a squeezed and a coherent state of light as input and homodyne detections at the outputs.
- Jonathan P Dowling and Kaushik P Seshadreesan, “Quantum optical technologies for metrology, sensing, and imaging,” Journal of Lightwave Technology 33, 2359–2370 (2015).
- Sisi Zhou, Mengzhen Zhang, John Preskill, and Liang Jiang, “Achieving the heisenberg limit in quantum metrology using quantum error correction,” Nature communications 9, 78 (2018).
- Kevin Qian, Zachary Eldredge, Wenchao Ge, Guido Pagano, Christopher Monroe, James V Porto, and Alexey V Gorshkov, “Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks,” Physical Review A 100, 042304 (2019).
- Carlton M. Caves, “Quantum-mechanical noise in an interferometer,” Phys. Rev. D 23, 1693–1708 (1981).
- Luca Pezzé and Augusto Smerzi, “Mach-zehnder interferometry at the heisenberg limit with coherent and squeezed-vacuum light,” Phys. Rev. Lett. 100, 073601 (2008).
- Matthias D. Lang and Carlton M. Caves, “Optimal quantum-enhanced interferometry using a laser power source,” Phys. Rev. Lett. 111, 173601 (2013).
- Giovanni Gramegna, Danilo Triggiani, Paolo Facchi, Frank A Narducci, and Vincenzo Tamma, “Heisenberg scaling precision in multi-mode distributed quantum metrology,” New Journal of Physics 23, 053002 (2021a).
- Giovanni Gramegna, Danilo Triggiani, Paolo Facchi, Frank A. Narducci, and Vincenzo Tamma, “Typicality of heisenberg scaling precision in multimode quantum metrology,” Phys. Rev. Res. 3, 013152 (2021b).
- Wenchao Ge, Kurt Jacobs, Zachary Eldredge, Alexey V. Gorshkov, and Michael Foss-Feig, “Distributed quantum metrology with linear networks and separable inputs,” Phys. Rev. Lett. 121, 043604 (2018).
- Danilo Triggiani and Vincenzo Tamma, “Estimation of the average of arbitrary unknown phase delays with heisenberg-scaling precision,” in Optical and quantum sensing and precision metrology ii, Vol. 12016 (SPIE, 2022) pp. 97–101.
- Dario Gatto, Paolo Facchi, and Vincenzo Tamma, “Heisenberg-limited estimation robust to photon losses in a mach-zehnder network with squeezed light,” Phys. Rev. A 105, 012607 (2022).
- Danilo Triggiani, Paolo Facchi, and Vincenzo Tamma, “Heisenberg scaling precision in the estimation of functions of parameters in linear optical networks,” Phys. Rev. A 104, 062603 (2021).
- Benjamin J Lawrie, Paul D Lett, Alberto M Marino, and Raphael C Pooser, “Quantum sensing with squeezed light,” Acs Photonics 6, 1307–1318 (2019).
- ST Pradyumna, E Losero, I Ruo-Berchera, P Traina, M Zucco, CS Jacobsen, UL Andersen, IP Degiovanni, M Genovese, and T Gehring, “Twin beam quantum-enhanced correlated interferometry for testing fundamental physics,” Communications Physics 3, 104 (2020).
- Junaid Aasi, Joan Abadie, BP Abbott, Richard Abbott, TD Abbott, MR Abernathy, Carl Adams, Thomas Adams, Paolo Addesso, RX Adhikari, et al., “Enhanced sensitivity of the ligo gravitational wave detector by using squeezed states of light,” Nature Photonics 7, 613–619 (2013).
- Kirk McKenzie, Daniel A. Shaddock, David E. McClelland, Ben C. Buchler, and Ping Koy Lam, “Experimental demonstration of a squeezing-enhanced power-recycled michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
- M. Aspachs, J. Calsamiglia, R. Muñoz Tapia, and E. Bagan, “Phase estimation for thermal gaussian states,” Phys. Rev. A 79, 033834 (2009).
- Teruo Matsubara, Paolo Facchi, Vittorio Giovannetti, and Kazuya Yuasa, “Optimal gaussian metrology for generic multimode interferometric circuit,” New Journal of Physics 21, 033014 (2019).
- Olivier Pinel, Julien Fade, Daniel Braun, Pu Jian, Nicolas Treps, and Claude Fabre, “Ultimate sensitivity of precision measurements with intense gaussian quantum light: A multimodal approach,” Phys. Rev. A 85, 010101 (2012).
- Jens A. H. Nielsen, Jonas S. Neergaard-Nielsen, Tobias Gehring, and Ulrik L. Andersen, “Deterministic quantum phase estimation beyond n00n states,” Phys. Rev. Lett. 130, 123603 (2023).
- Jian Qin, Yu-Hao Deng, Han-Sen Zhong, Li-Chao Peng, Hao Su, Yi-Han Luo, Jia-Min Xu, Dian Wu, Si-Qiu Gong, Hua-Liang Liu, Hui Wang, Ming-Cheng Chen, Li Li, Nai-Le Liu, Chao-Yang Lu, and Jian-Wei Pan, “Unconditional and robust quantum metrological advantage beyond n00n states,” Phys. Rev. Lett. 130, 070801 (2023).
- Peter C. Humphreys, Marco Barbieri, Animesh Datta, and Ian A. Walmsley, “Quantum enhanced multiple phase estimation,” Phys. Rev. Lett. 111, 070403 (2013).
- Jie-Dong Yue, Yu-Ran Zhang, and Heng Fan, “Quantum-enhanced metrology for multiple phase estimation with noise,” Scientific reports 4, 5933 (2014).
- Le Bin Ho, Hideaki Hakoshima, Yuichiro Matsuzaki, Masayuki Matsuzaki, and Yasushi Kondo, “Multiparameter quantum estimation under dephasing noise,” Phys. Rev. A 102, 022602 (2020).
- Yao Yao, Li Ge, Xing Xiao, Xiaoguang Wang, and C. P. Sun, “Multiple phase estimation for arbitrary pure states under white noise,” Phys. Rev. A 90, 062113 (2014).
- Seongjin Hong, Junaid Ur Rehman, Yong-Su Kim, Young-Wook Cho, Seung-Woo Lee, Hojoong Jung, Sung Moon, Sang-Wook Han, and Hyang-Tag Lim, “Quantum enhanced multiple-phase estimation with multi-mode n 00 n states,” Nature communications 12, 5211 (2021).
- Christos N. Gagatsos, Dominic Branford, and Animesh Datta, “Gaussian systems for quantum-enhanced multiple phase estimation,” Phys. Rev. A 94, 042342 (2016).
- Luca Pezzè, Mario A. Ciampini, Nicolò Spagnolo, Peter C. Humphreys, Animesh Datta, Ian A. Walmsley, Marco Barbieri, Fabio Sciarrino, and Augusto Smerzi, “Optimal measurements for simultaneous quantum estimation of multiple phases,” Phys. Rev. Lett. 119, 130504 (2017).
- Mikhail I Kolobov, “Quantum limits of optical super-resolution,” in Quantum Imaging (Springer, 2007) pp. 113–139.
- Nicolò Spagnolo, Lorenzo Aparo, Chiara Vitelli, Andrea Crespi, Roberta Ramponi, Roberto Osellame, Paolo Mataloni, and Fabio Sciarrino, “Quantum interferometry with three-dimensional geometry,” Scientific reports 2, 862 (2012).
- Marco Genovese, “Real applications of quantum imaging,” Journal of Optics 18, 073002 (2016).
- Michael A Taylor, Jiri Janousek, Vincent Daria, Joachim Knittel, Boris Hage, Hans-A Bachor, and Warwick P Bowen, “Biological measurement beyond the quantum limit,” Nature Photonics 7, 229–233 (2013).
- Michael A Taylor and Warwick P Bowen, “Quantum metrology and its application in biology,” Physics Reports 615, 1–59 (2016).
- NP Mauranyapin, LS Madsen, MA Taylor, M Waleed, and WP Bowen, “Evanescent single-molecule biosensing with quantum-limited precision,” Nature Photonics 11, 477–481 (2017).
- Shan Zheng Ang, Ranjith Nair, and Mankei Tsang, “Quantum limit for two-dimensional resolution of two incoherent optical point sources,” Phys. Rev. A 95, 063847 (2017).
- J. Řehaček, Z. Hradil, B. Stoklasa, M. Paúr, J. Grover, A. Krzic, and L. L. Sánchez-Soto, “Multiparameter quantum metrology of incoherent point sources: Towards realistic superresolution,” Phys. Rev. A 96, 062107 (2017).
- Peter Komar, Eric M Kessler, Michael Bishof, Liang Jiang, Anders S Sørensen, Jun Ye, and Mikhail D Lukin, “A quantum network of clocks,” Nature Physics 10, 582–587 (2014).
- Johannes Nokkala, Francesco Arzani, Fernando Galve, Roberta Zambrini, Sabrina Maniscalco, Jyrki Piilo, Nicolas Treps, and Valentina Parigi, “Reconfigurable optical implementation of quantum complex networks,” New Journal of Physics 20, 053024 (2018).
- Xiao-Qi Zhou, Hugo Cable, Rebecca Whittaker, Peter Shadbolt, Jeremy L O’Brien, and Jonathan CF Matthews, “Quantum-enhanced tomography of unitary processes,” Optica 2, 510–516 (2015).
- Masahito Hayashi, “Parallel treatment of estimation of su (2) and phase estimation,” Physics Letters A 354, 183–189 (2006).
- Andreas Freise, Simon Chelkowski, Stefan Hild, Walter Del Pozzo, Antonio Perreca, and A Vecchio, “Triple michelson interferometer for a third-generation gravitational wave detector,” Classical and Quantum Gravity 26, 085012 (2009).
- Roman Schnabel, Nergis Mavalvala, David E McClelland, and Ping K Lam, “Quantum metrology for gravitational wave astronomy,” Nature communications 1, 121 (2010).
- M Koschorreck, M Napolitano, B Dubost, and MW Mitchell, “High resolution magnetic vector-field imaging with cold atomic ensembles,” Applied Physics Letters 98 (2011).
- Tillmann Baumgratz and Animesh Datta, “Quantum enhanced estimation of a multidimensional field,” Physical review letters 116, 030801 (2016).
- Iagoba Apellaniz, Iñigo Urizar-Lanz, Zoltán Zimborás, Philipp Hyllus, and Géza Tóth, “Precision bounds for gradient magnetometry with atomic ensembles,” Phys. Rev. A 97, 053603 (2018).
- Fei Yao, Yi-Mu Du, Haijun Xing, and Libin Fu, “Two-parameter estimation with three-mode noon state in a symmetric triple-well potential,” Communications in Theoretical Physics 74, 045103 (2022).
- Emanuele Polino, Mauro Valeri, Nicolò Spagnolo, and Fabio Sciarrino, “Photonic quantum metrology,” AVS Quantum Science 2 (2020).
- Xueshi Guo, Casper R Breum, Johannes Borregaard, Shuro Izumi, Mikkel V Larsen, Tobias Gehring, Matthias Christandl, Jonas S Neergaard-Nielsen, and Ulrik L Andersen, “Distributed quantum sensing in a continuous-variable entangled network,” Nature Physics 16, 281–284 (2020).
- Quntao Zhuang, John Preskill, and Liang Jiang, “Distributed quantum sensing enhanced by continuous-variable error correction,” New Journal of Physics 22, 022001 (2020).
- Quntao Zhuang and Zheshen Zhang, “Physical-layer supervised learning assisted by an entangled sensor network,” Phys. Rev. X 9, 041023 (2019).
- Dario Gatto, Paolo Facchi, Frank A. Narducci, and Vincenzo Tamma, “Distributed quantum metrology with a single squeezed-vacuum source,” Phys. Rev. Res. 1, 032024 (2019).
- Petre Stoica and Thomas L Marzetta, “Parameter estimation problems with singular information matrices,” IEEE Transactions on Signal Processing 49, 87–90 (2001).
- Masahiro Takeoka, Kaushik P Seshadreesan, Chenglong You, Shuro Izumi, and Jonathan P Dowling, “Fundamental precision limit of a mach-zehnder interferometric sensor when one of the inputs is the vacuum,” Physical Review A 96, 052118 (2017).
- Harald Cramér, Mathematical methods of statistics, Vol. 26 (Princeton university press, 1999).