- Open Access
Ultimate Quantum Sensitivity in the Estimation of the Delay between two Interfering Photons through Frequency-Resolving Sampling
Phys. Rev. Applied 19, 044068 – Published 24 April, 2023
DOI: https://doi.org/10.1103/PhysRevApplied.19.044068
Abstract
We demonstrate the ultimate sensitivity allowed by quantum physics in the estimation of the time delay between two photons by measuring their interference at a beam splitter through frequency-resolving sampling measurements. This sensitivity can be increased quadratically by decreasing the photonic temporal bandwidth even at values smaller than the time delay when standard two-photon interferometers become inoperable and without adapting the path of the reference photon, nor the need of time-resolving detectors with an unfeasible high resolution. Applications can range from the more feasible imaging of nanostructures, including biological samples, and nanomaterial surfaces to quantum enhanced estimation based on frequency-resolved boson sampling in optical networks.
Physics Subject Headings (PhySH)
Article Text
References (40)
- C. K. Hong, Z. Y. Ou, and L. Mandel, Measurement of Subpicosecond Time Intervals between Two Photons by Interference, Phys. Rev. Lett. 59, 2044 (1987).
- Y. H. Shih and C. O. Alley, New Type of Einstein-Podolsky-Rosen-Bohm Experiment Using Pairs of Light Quanta Produced by Optical Parametric Down Conversion, Phys. Rev. Lett. 61, 2921 (1988).
- I. Abram, R. K. Raj, J. L. Oudar, and G. Dolique, Direct Observation of the Second-Order Coherence of Parametrically Generated Light, Phys. Rev. Lett. 57, 2516 (1986).
- Sudhakar Prasad, Marlan O. Scully, and Werner Martienssen, A quantum description of the beam splitter, Opt. Commun. 62, 139 (1987).
- Z. Y. Ou, C. K. Hong, and L. Mandel, Relation between input and output states for a beam splitter, Opt. Commun. 63, 118 (1987).
- H. Fearn and R. Loudon, Quantum theory of the lossless beam splitter, Opt. Commun. 64, 485 (1987).
- J. G. Rarity and P. R. Tapster, Fourth-order interference in parametric downconversion, J. Opt. Soc. Am. B 6, 1221 (1989).
- Frédéric Bouchard, Alicia Sit, Yingwen Zhang, Robert Fickler, Filippo M. Miatto, Yuan Yao, Fabio Sciarrino, and Ebrahim Karimi, Two-photon interference: The Hong–Ou–Mandel effect, Rep. Prog. Phys. 84, 012402 (2021).
- Ashley Lyons, George C. Knee, Eliot Bolduc, Thomas Roger, Jonathan Leach, Erik M. Gauger, and Daniele Faccio, Attosecond-resolution Hong-Ou-Mandel interferometry, Sci. Adv. 4, 5 (2018).
- Yuanyuan Chen, Matthias Fink, Fabian Steinlechner, Juan P. Torres, and Rupert Ursin, Hong-Ou-Mandel interferometry on a biphoton beat note, npj Quantum Inf. 5, 43 (2019).
- N. Fabre and S. Felicetti, Parameter estimation of time and frequency shifts with generalized Hong-Ou-Mandel interferometry, Phys. Rev. A 104, 022208 (2021).
- Natapon Harnchaiwat, Feng Zhu, Niclas Westerberg, Erik Gauger, and Jonathan Leach, Tracking the polarisation state of light via Hong-Ou-Mandel interferometry, Opt. Express 28, 2210 (2020).
- Harald Cramér, Mathematical Methods of Statistics (Princeton University Press, Princeton, 1999), Vol. 9.
- Vijay K. Rohatgi and A. K. Md. Ehsanes Saleh, An Introduction to Probability and Statistics (John Wiley & Sons, Agawam, 2000).
- Hamish Scott, Dominic Branford, Niclas Westerberg, Jonathan Leach, and Erik M. Gauger, Beyond coincidence in Hong-Ou-Mandel interferometry, Phys. Rev. A 102, 033714 (2020).
- T. Legero, T. Wilk, A. Kuhn, and G. Rempe, Time-resolved two-photon quantum interference, Appl. Phys. B 77, 797 (2003).
- Thomas Legero, Tatjana Wilk, Markus Hennrich, Gerhard Rempe, and Axel Kuhn, Quantum Beat of Two Single Photons, Phys. Rev. Lett. 93, 070503 (2004).
- Vincenzo Tamma and Simon Laibacher, Multiboson Correlation Interferometry with Arbitrary Single-Photon Pure States, Phys. Rev. Lett. 114, 243601 (2015).
- Xu-Jie Wang, Bo Jing, Peng-Fei Sun, Chao-Wei Yang, Yong Yu, Vincenzo Tamma, Xiao-Hui Bao, and Jian-Wei Pan, Experimental Time-Resolved Interference with Multiple Photons of Different Colors, Phys. Rev. Lett. 121, 080501 (2018).
- Vindhiya Prakash, Aleksandra Sierant, and Morgan W. Mitchell, Autoheterodyne Characterization of Narrow-Band Photon Pairs, Phys. Rev. Lett. 127, 043601 (2021).
- Rui-Bo Jin, Thomas Gerrits, Mikio Fujiwara, Ryota Wakabayashi, Taro Yamashita, Shigehito Miki, Hirotaka Terai, Ryosuke Shimizu, Masahiro Takeoka, and Masahide Sasaki, Spectrally resolved Hong-Ou-Mandel interference between independent photon sources, Opt. Express 23, 28836 (2015).
- Pablo Yepiz-Graciano, Alí Michel Angulo Martínez, Dorilian Lopez-Mago, Hector Cruz-Ramirez, and Alfred B. U’Ren, Spectrally resolved Hong-Ou-Mandel interferometry for quantum-optical coherence tomography, Photon. Res. 8, 1023 (2020).
- T. Hiemstra, T. F. Parker, P. Humphreys, J. Tiedau, M. Beck, M. Karpiński, B. J. Smith, A. Eckstein, W. S. Kolthammer, and I. A. Walmsley, Pure Single Photons from Scalable Frequency Multiplexing, Phys. Rev. Appl. 14, 014052 (2020).
- Simon Laibacher and Vincenzo Tamma, Symmetries and entanglement features of inner-mode-resolved correlations of interfering nonidentical photons, Phys. Rev. A 98, 053829 (2018).
- Venkata Vikram Orre, Elizabeth A. Goldschmidt, Abhinav Deshpande, Alexey V. Gorshkov, Vincenzo Tamma, Mohammad Hafezi, and Sunil Mittal, Interference of Temporally Distinguishable Photons using Frequency-Resolved Detection, Phys. Rev. Lett. 123, 123603 (2019).
- Simon Laibacher and Vincenzo Tamma, From the Physics to the Computational Complexity of Multiboson Correlation Interference, Phys. Rev. Lett. 115, 243605 (2015).
- Vincenzo Tamma and Simon Laibacher, Multi-boson correlation sampling, Quantum Inf. Process. 15, 1241 (2016).
- Vincenzo Tamma and Simon Laibacher, Scattershot multiboson correlation sampling with random photonic inner-mode multiplexing, arXiv:1801.03832.
- Carl W. Helstrom, Quantum detection and estimation theory, J. Stat. Phys. 1, 231 (1969).
- A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory, Publications of the Scuola Normale Superiore (Scuola Normale Superiore, 2011).
- Kyle M. Jordan, Raphael A. Abrahao, and Jeff S. Lundeen, Quantum metrology timing limits of the Hong-Ou-Mandel interferometer and of general two-photon measurements, Phys. Rev. A 106, 063715 (2022).
- Peter J. Mosley, Jeff S. Lundeen, Brian J. Smith, Piotr Wasylczyk, Alfred B. U’Ren, Christine Silberhorn, and Ian A. Walmsley, Heralded Generation of Ultrafast Single Photons in Pure Quantum States, Phys. Rev. Lett. 100, 133601 (2008).
- Magued B. Nasr, Silvia Carrasco, Bahaa E. A. Saleh, Alexander V. Sergienko, Malvin C. Teich, Juan P. Torres, Lluis Torner, David S. Hum, and Martin M. Fejer, Ultrabroadband Biphotons Generated via Chirped Quasi-Phase-Matched Optical Parametric Down-Conversion, Phys. Rev. Lett. 100, 183601 (2008).
- Silke Aumann, Sabine Donner, Jörg Fischer, Frank Müller, in High Resolution Imaging in Microscopy and Ophthalmology: New Frontiers in Biomedical Optics, edited by Josef F. Bille (Springer International Publishing, Cham, 2019), pp. 59–85.
- Thang L. Nguyen, Soorya Pradeep, Robert L. Judson-Torres, Jason Reed, Michael A. Teitell, and Thomas A. Zangle, Quantitative phase imaging: Recent advances and expanding potential in biomedicine, ACS Nano 16, 11516 (2022).
- Tatyana Tishko, Tishko Dmitry, and Titar Vladimir, Holographic Microscopy of Phase Microscopic Objects (World Scientific, Singapore, 2011).
- Wolfgang Drexler, Uwe Morgner, Ravi K. Ghanta, Franz X. Kärtner, Joel S. Schuman, and James G. Fujimoto, Ultrahigh-resolution ophthalmic optical coherence tomography, Nat. Med. 7, 502 (2001).
- YongKeun Park, Christian Depeursinge, and Gabriel Popescu, Quantitative phase imaging in biomedicine, Nat. Photonics 12, 578 (2018).
- Simo Saarakkala, Shu-Zhe Wang, Yan-Ping Huang, and Yong-Ping Zheng, Quantification of the optical surface reflection and surface roughness of articular cartilage using optical coherence tomography, Phys Med Biol 54, 6837 (2009).
- Matteo G. A. Paris, Quantum estimation for quantum technology, Int. J. Quantum Inf. 7, 125 (2009).