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We develop a protocol for learning a class of interacting bosonic Hamiltonians from dynamics with Heisenberg-limited scaling.
Comparison of quantum and semiclassical radiation theories with application to the beam maser
Edwin T Jaynes and Frederick W Cummings · 1963
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Quantum-mechanical noise in an interferometer
Carlton M Caves · 1981
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Spin squeezing and reduced quantum noise in spectroscopy
David J Wineland, John J Bollinger, Wayne M Itano, FL Moore, and Daniel J Heinzen · 1992
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Interferometric detection of optical phase shifts at the heisenberg limit
MJ Holland and K Burnett · 1993
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Squeezing via feedback
HM Wiseman and GJ Milburn · 1994
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Optimal frequency measurements with maximally correlated states
John J Bollinger, Wayne M Itano, David J Wineland, and Daniel J Heinzen · 1996
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A quantum Rosetta stone for interferometry
Hwang Lee, Pieter Kok, and Jonathan P Dowling · 2002
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Experimental demonstration of a squeezing-enhanced power-recycled michelson interferometer for gravitational wave detection
Kirk McKenzie, Daniel A Shaddock, David E McClelland, Ben C Buchler, and Ping Koy Lam · 2002
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Robust method for estimating the Lindblad operators of a dissipative quantum process from measurements of the density operator at multiple time points
Nicolas Boulant, Timothy F. Havel, Marco A. Pravia, and David G. Cory · 2003
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Distant clock synchronization using entangled photon pairs
Alejandra Valencia, Giuliano Scarcelli, and Yanhua Shih · 2004
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Toward heisenberg-limited spectroscopy with multiparticle entangled states
Dietrich Leibfried, Murray D Barrett, T Schaetz, Joseph Britton, J Chiaverini, Wayne M Itano, John D Jost, Christopher Langer, and David J Wineland · 2004
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Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
Alexandre Blais, Ren-Shou Huang, Andreas Wallraff, Steven M Girvin, and R Jun Schoelkopf · 2004
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Bose-einstein condensation and strong-correlation behavior of phonons in ion traps
Diego Porras and J Ignacio Cirac · 2004
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Quantum methods for clock synchronization: Beating the standard quantum limit without entanglement
Mark de Burgh and Stephen D Bartlett · 2005
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Entanglement-free heisenberg-limited phase estimation
Brendon L Higgins, Dominic W Berry, Stephen D Bartlett, Howard M Wiseman, and Geoff J Pryde · 2007
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Continuously decoupling single-qubit operations from a perturbing thermal bath of scalar bosons
Felipe Fernandes Fanchini, JEM Hornos, and R d J Napolitano · 2007
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Quantum many-body phenomena in coupled cavity arrays
Michael J Hartmann, Fernando GSL Brandao, and Martin B Plenio · 2008
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Optimal dynamical decoherence control of a qubit
Goren Gordon, Gershon Kurizki, and Daniel A Lidar · 2008
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Introduction to quantum noise, measurement, and amplification
Aashish A Clerk, Michel H Devoret, Steven M Girvin, Florian Marquardt, and Robert J Schoelkopf · 2010
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Robust online hamiltonian learning
Christopher E Granade, Christopher Ferrie, Nathan Wiebe, and David G Cory · 2012
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Robust trapped-ion quantum logic gates by continuous dynamical decoupling
A Bermudez, Piet O Schmidt, Martin B Plenio, and A Retzker · 2012
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Coherence-protected quantum gate by continuous dynamical decoupling in diamond
Xiangkun Xu, Zixiang Wang, Changkui Duan, Pu Huang, Pengfei Wang, Ya Wang, Nanyang Xu, Xi Kong, Fazhan Shi, Xing Rong, et al · 2012
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Arbitrarily large steady-state bosonic squeezing via dissipation
Andreas Kronwald, Florian Marquardt, and Aashish A Clerk · 2013
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Cavity optomechanics
Markus Aspelmeyer, Tobias J Kippenberg, and Florian Marquardt · 2014
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Applications of cavity optomechanics
Michael Metcalfe · 2014
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Gravitational radiation detection with laser interferometry
Rana X Adhikari · 2014
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Scalable implementation of boson sampling with trapped ions
Chao Shen, Zhen Zhang, and L-M Duan · 2014
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Improved quantum metrology using quantum error correction
Wolfgang Dür, Michalis Skotiniotis, Florian Froewis, and Barbara Kraus · 2014
Cited alongside, same era.
Increasing sensing resolution with error correction
Gilad Arrad, Yuval Vinkler, Dorit Aharonov, and Alex Retzker · 2014
Cited alongside, same era.
Quantum error correction for metrology
Eric M Kessler, Igor Lovchinsky, Alexander O Sushkov, and Mikhail D Lukin · 2014
Cited alongside, same era.
Robust calibration of a universal single-qubit gate set via robust phase estimation
Shelby Kimmel, Guang Hao Low, and Theodore J Yoder · 2015
Cited alongside, same era.
Reducing Unitary and Spectator Errors in Cross Resonance with Optimized Rotary Echoes
Neereja Sundaresan, Isaac Lauer, Emily Pritchett, Easwar Magesan, Petar Jurcevic, and Jay M. Gambetta · 2020
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Magnetic Hamiltonian parameter estimation using deep learning techniques
Hee Young Kwon, H. G. Yoon, C. Lee, G. Chen, K. Liu, A. K. Schmid, Y. Z. Wu, J. W. Choi, and C. Won · 2020
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Predicting many properties of a quantum system from very few measurements
Hsin-Yuan Huang, Richard Kueng, and John Preskill · 2020
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Learning quantum hamiltonians from single-qubit measurements
Liangyu Che, Chao Wei, Yulei Huang, Dafa Zhao, Shunzhong Xue, Xinfang Nie, Jun Li, Dawei Lu, and Tao Xin · 2021
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Optimal learning of quantum hamiltonians from high-temperature gibbs states
Jeongwan Haah, Robin Kothari, and Ewin Tang · 2021
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Quantum error-correction-enhanced magnetometer overcoming the limit imposed by relaxation
David A Herrera-Martí, Tuvia Gefen, Dorit Aharonov, Nadav Katz, and Alex Retzker · 2015
Cited alongside, same era.
Procedure for systematically tuning up cross-talk in the cross-resonance gate
Sarah Sheldon, Easwar Magesan, Jerry M. Chow, and Jay M. Gambetta · 2016
Cited alongside, same era.
Dynamical decoupling leads to improved scaling in noisy quantum metrology
Pavel Sekatski, Michalis Skotiniotis, and Wolfgang Dür · 2016
Cited alongside, same era.
Evolution-Free Hamiltonian Parameter Estimation through Zeeman Markers
Daniel Burgarth and Ashok Ajoy · 2017
Cited alongside, same era.
Experimental quantum hamiltonian learning
Jianwei Wang, Stefano Paesani, Raffaele Santagati, Sebastian Knauer, Antonio A. Gentile, Nathan Wiebe, Maurangelo Petruzzella, Jeremy L. O’Brien, John G. Rarity, Anthony Laing, and et al · 2017
Cited alongside, same era.
Narrow-bandwidth sensing of high-frequency fields with continuous dynamical decoupling
Alexander Stark, Nati Aharon, Thomas Unden, Daniel Louzon, Alexander Huck, Alex Retzker, Ulrik L Andersen, and Fedor Jelezko · 2017
Cited alongside, same era.
Precise hamiltonian identification of a superconducting quantum processor
Dominik Hangleiter, Ingo Roth, Jens Eisert, and Pedram Roushan · 2021
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Optimal short-time measurements for hamiltonian learning
Assaf Zubida, Elad Yitzhaki, Netanel H Lindner, and Eyal Bairey · 2021
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Circuit quantum electrodynamics
Alexandre Blais, Arne L Grimsmo, Steven M Girvin, and Andreas Wallraff · 2021
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Dissipative stabilization of squeezing beyond 3 db in a microwave mode
R Dassonneville, R Assouly, T Peronnin, AA Clerk, A Bienfait, and B Huard · 2021
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Gauge-symmetry protection using single-body terms
Jad C Halimeh, Haifeng Lang, Julius Mildenberger, Zhang Jiang, and Philipp Hauke · 2021
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Practical and efficient hamiltonian learning, 2022
Wenjun Yu, Jinzhao Sun, Zeyao Han, and Xiao Yuan · 2022
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Efficient and robust estimation of many-qubit hamiltonians
Daniel Stilck Franca, Liubov A Markovich, VV Dobrovitski, Albert H Werner, and Johannes Borregaard · 2022
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Scalably learning quantum many-body hamiltonians from dynamical data, 2022
Frederik Wilde, Augustine Kshetrimayum, Ingo Roth, Dominik Hangleiter, Ryan Sweke, and Jens Eisert · 2022
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Learning quantum processes and hamiltonians via the pauli transfer matrix
Matthias C Caro · 2022
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Building a fault-tolerant quantum computer using concatenated cat codes
Christopher Chamberland, Kyungjoo Noh, Patricio Arrangoiz-Arriola, Earl T Campbell, Connor T Hann, Joseph Iverson, Harald Putterman, Thomas C Bohdanowicz, Steven T Flammia, Andrew Keller, et al · 2022
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Beating the 3 db limit for intracavity squeezing and its application to nondemolition qubit readout
Wei Qin, Adam Miranowicz, and Franco Nori · 2022
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Digital quantum simulation of the schwinger model and symmetry protection with trapped ions
Nhung H Nguyen, Minh C Tran, Yingyue Zhu, Alaina M Green, C Huerta Alderete, Zohreh Davoudi, and Norbert M Linke · 2022
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The randomized measurement toolbox
Andreas Elben, Steven T Flammia, Hsin-Yuan Huang, Richard Kueng, John Preskill, Benoît Vermersch, and Peter Zoller · 2022
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Classical shadow tomography for continuous variables quantum systems
Simon Becker, Nilanjana Datta, Ludovico Lami, and Cambyse Rouzé · 2022
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Continuous-variable shadow tomography
Srilekha Gandhari, Victor V Albert, Thomas Gerrits, Jacob M Taylor, and Michael J Gullans · 2022
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Learning many-body hamiltonians with heisenberg-limited scaling
Hsin-Yuan Huang, Yu Tong, Di Fang, and Yuan Su · 2023
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The advantage of quantum control in many-body hamiltonian learning
Alicja Dutkiewicz, Thomas E O’Brien, and Thomas Schuster · 2023
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On low-depth algorithms for quantum phase estimation
Hongkang Ni, Haoya Li, and Lexing Ying · 2023
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Suppressing qubit dephasing using real-time Hamiltonian estimation
Michael D. Shulman, S. P. Harvey, J. M. Nichol, S. D. Bartlett, A. C. Doherty, V. Umansky, and A. Yacoby · 2041
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