Probing Scrambling Using Statistical Correlations between Randomized Measurements

Vermersch, B.; Elben, A.; Sieberer, L. M.; Yao, N. Y.; Zoller, P.

doi:10.1103/PhysRevX.9.021061

Title: Probing Scrambling Using Statistical Correlations between Randomized Measurements

Journal Article · 27 June 2019 · Physical Review X

DOI: https://doi.org/10.1103/PhysRevX.9.021061 · OSTI ID:1529708

Vermersch, B.; Elben, A.; Sieberer, L. M.; Yao, N. Y.; Zoller, P.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: PHCOMPHEP-KA24

OSTI ID:: 1529708

Journal Information:: Physical Review X, Journal Name: Physical Review X Vol. 9 Journal Issue: 2; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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References (60)

Local Conservation Laws and the Structure of the Many-Body Localized States Serbyn, Maksym; Papić, Z.; Abanin, Dmitry A. Physical Review Letters, Vol. 111, Issue 12 https://doi.org/10.1103/PhysRevLett.111.127201	journal	September 2013
Experimental investigations of dipole–dipole interactions between a few Rydberg atoms Browaeys, Antoine; Barredo, Daniel; Lahaye, Thierry Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 49, Issue 15 https://doi.org/10.1088/0953-4075/49/15/152001	journal	June 2016
Probing the Quench Dynamics of Antiferromagnetic Correlations in a 2D Quantum Ising Spin System Guardado-Sanchez, Elmer; Brown, Peter T.; Mitra, Debayan Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021069	journal	June 2018
Black holes as mirrors: quantum information in random subsystems Hayden, Patrick; Preskill, John Journal of High Energy Physics, Vol. 2007, Issue 09 https://doi.org/10.1088/1126-6708/2007/09/120	journal	September 2007
Out-of-time-ordered correlators in many-body localized systems: Out-of-time-ordered correlators in many-body localized systems Huang, Yichen; Zhang, Yong-Liang; Chen, Xie Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201600318	journal	December 2016
Building logical qubits in a superconducting quantum computing system Gambetta, Jay M.; Chow, Jerry M.; Steffen, Matthias npj Quantum Information, Vol. 3, Issue 1 https://doi.org/10.1038/s41534-016-0004-0	journal	January 2017
Measuring the scrambling of quantum information Swingle, Brian; Bentsen, Gregory; Schleier-Smith, Monika Physical Review A, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevA.94.040302	journal	October 2016
Chaos and complexity by design Roberts, Daniel A.; Yoshida, Beni Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)121	journal	April 2017
Quantum quenches in 1 + 1 dimensional conformal field theories Calabrese, Pasquale; Cardy, John Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6 https://doi.org/10.1088/1742-5468/2016/06/064003	journal	June 2016
Chaos in quantum channels Hosur, Pavan; Qi, Xiao-Liang; Roberts, Daniel A. Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)004	journal	February 2016
Out-of-time-order correlation for many-body localization Fan, Ruihua; Zhang, Pengfei; Shen, Huitao Science Bulletin, Vol. 62, Issue 10 https://doi.org/10.1016/j.scib.2017.04.011	journal	May 2017
Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems Brouwer, P. W.; Beenakker, C. W. J. Journal of Mathematical Physics, Vol. 37, Issue 10 https://doi.org/10.1063/1.531667	journal	October 1996
Many-body interferometry of a Rydberg-dressed spin lattice Zeiher, Johannes; van Bijnen, Rick; Schauß, Peter Nature Physics, Vol. 12, Issue 12 https://doi.org/10.1038/nphys3835	journal	August 2016
Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group Collins, Benoît; Śniady, Piotr Communications in Mathematical Physics, Vol. 264, Issue 3 https://doi.org/10.1007/s00220-006-1554-3	journal	March 2006
Unitary n -designs via random quenches in atomic Hubbard and spin models: Application to the measurement of Rényi entropies Vermersch, B.; Elben, A.; Dalmonte, M. Physical Review A, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevA.97.023604	journal	February 2018
Statistical correlations between locally randomized measurements: A toolbox for probing entanglement in many-body quantum states Elben, A.; Vermersch, B.; Roos, C. F. Physical Review A, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevA.99.052323	journal	May 2019
Black holes and the butterfly effect Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)067	journal	March 2014
Quantum Signatures of Chaos Haake, Fritz Springer Series in Synergetics https://doi.org/10.1007/978-3-642-05428-0	book	January 2010
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator Zhang, J.; Pagano, G.; Hess, P. W. Nature, Vol. 551, Issue 7682 https://doi.org/10.1038/nature24654	journal	November 2017
Gapless spin-fluid ground state in a random quantum Heisenberg magnet Sachdev, Subir; Ye, Jinwu Physical Review Letters, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevLett.70.3339	journal	May 1993
Emergent locality in systems with power-law interactions Luitz, David J.; Bar Lev, Yevgeny Physical Review A, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevA.99.010105	journal	January 2019
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems Breuer, Heinz-Peter; Laine, Elsi-Mari; Piilo, Jyrki Physical Review Letters, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevLett.103.210401	journal	November 2009
Interaction-induced transition in the quantum chaotic dynamics of a disordered metal Syzranov, S. V.; Gorshkov, A. V.; Galitski, V. M. Annals of Physics, Vol. 405 https://doi.org/10.1016/j.aop.2019.03.008	journal	June 2019
Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models Elben, A.; Vermersch, B.; Dalmonte, M. Physical Review Letters, Vol. 120, Issue 5 https://doi.org/10.1103/PhysRevLett.120.050406	journal	February 2018
Measuring out-of-time-order correlations and multiple quantum spectra in a trapped-ion quantum magnet Gärttner, Martin; Bohnet, Justin G.; Safavi-Naini, Arghavan Nature Physics, Vol. 13, Issue 8 https://doi.org/10.1038/nphys4119	journal	May 2017
Digitized adiabatic quantum computing with a superconducting circuit Barends, R.; Shabani, A.; Lamata, L. Nature, Vol. 534, Issue 7606 https://doi.org/10.1038/nature17658	journal	June 2016
Measurement of many-body chaos using a quantum clock Zhu, Guanyu; Hafezi, Mohammad; Grover, Tarun Physical Review A, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevA.94.062329	journal	December 2016
Quantum simulations with ultracold quantum gases Bloch, Immanuel; Dalibard, Jean; Nascimbène, Sylvain Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2259	journal	April 2012
Quantum simulations with trapped ions Blatt, R.; Roos, C. F. Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2252	journal	April 2012
Solvable model for a dynamical quantum phase transition from fast to slow scrambling Banerjee, Sumilan; Altman, Ehud Physical Review B, Vol. 95, Issue 13 https://doi.org/10.1103/PhysRevB.95.134302	journal	April 2017
The density-matrix renormalization group in the age of matrix product states Schollwöck, Ulrich Annals of Physics, Vol. 326, Issue 1 https://doi.org/10.1016/j.aop.2010.09.012	journal	January 2011
Resilience of scrambling measurements Swingle, Brian; Yunger Halpern, Nicole Physical Review A, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevA.97.062113	journal	June 2018
Many-body localization phase transition Pal, Arijeet; Huse, David A. Physical Review B, Vol. 82, Issue 17 https://doi.org/10.1103/PhysRevB.82.174411	journal	November 2010
A bound on chaos Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)106	journal	August 2016
QuTiP 2: A Python framework for the dynamics of open quantum systems Johansson, J. R.; Nation, P. D.; Nori, Franco Computer Physics Communications, Vol. 184, Issue 4 https://doi.org/10.1016/j.cpc.2012.11.019	journal	April 2013
Out-of-time-order correlation at a quantum phase transition Shen, Huitao; Zhang, Pengfei; Fan, Ruihua Physical Review B, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevB.96.054503	journal	August 2017
Efficient Quantum Pseudorandomness with Nearly Time-Independent Hamiltonian Dynamics Nakata, Yoshifumi; Hirche, Christoph; Koashi, Masato Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevX.7.021006	journal	April 2017
Disentangling Scrambling and Decoherence via Quantum Teleportation Yoshida, Beni; Yao, Norman Y. Physical Review X, Vol. 9, Issue 1 https://doi.org/10.1103/PhysRevX.9.011006	journal	January 2019
Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model Cheuk, L. W.; Nichols, M. A.; Lawrence, K. R. Science, Vol. 353, Issue 6305 https://doi.org/10.1126/science.aag3349	journal	September 2016
Measuring Out-of-Time-Order Correlators on a Nuclear Magnetic Resonance Quantum Simulator Li, Jun; Fan, Ruihua; Wang, Hengyan Physical Review X, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevX.7.031011	journal	July 2017
Verified quantum information scrambling Landsman, K. A.; Figgatt, C.; Schuster, T. Nature, Vol. 567, Issue 7746 https://doi.org/10.1038/s41586-019-0952-6	journal	March 2019
Exploring the many-body localization transition in two dimensions Choi, J. -y.; Hild, S.; Zeiher, J. Science, Vol. 352, Issue 6293 https://doi.org/10.1126/science.aaf8834	journal	June 2016
Quantum simulations with ultracold atoms in optical lattices Gross, Christian; Bloch, Immanuel Science, Vol. 357, Issue 6355 https://doi.org/10.1126/science.aal3837	journal	September 2017
Probing Rényi entanglement entropy via randomized measurements Brydges, Tiff; Elben, Andreas; Jurcevic, Petar Science, Vol. 364, Issue 6437 https://doi.org/10.1126/science.aau4963	journal	April 2019
Exact and approximate unitary 2-designs and their application to fidelity estimation Dankert, Christoph; Cleve, Richard; Emerson, Joseph Physical Review A, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevA.80.012304	journal	July 2009
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator Keesling, Alexander; Omran, Ahmed; Levine, Harry Nature, Vol. 568, Issue 7751 https://doi.org/10.1038/s41586-019-1070-1	journal	April 2019
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states Basko, D. M.; Aleiner, I. L.; Altshuler, B. L. Annals of Physics, Vol. 321, Issue 5 https://doi.org/10.1016/j.aop.2005.11.014	journal	May 2006
Out-of-time-order correlations in many-body localized and thermal phases: Out-of-time-order correlations in many-body localized and thermal phases Chen, Xiao; Zhou, Tianci; Huse, David A. Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201600332	journal	December 2016
Site-resolved imaging of a fermionic Mott insulator Greif, D.; Parsons, M. F.; Mazurenko, A. Science, Vol. 351, Issue 6276 https://doi.org/10.1126/science.aad9041	journal	February 2016
Operator Spreading in Random Unitary Circuits Nahum, Adam; Vijay, Sagar; Haah, Jeongwan Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021014	journal	April 2018
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws von Keyserlingk, C. W.; Rakovszky, Tibor; Pollmann, Frank Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021013	journal	April 2018
Many-Body Localization and Thermalization in Quantum Statistical Mechanics Nandkishore, Rahul; Huse, David A. Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031214-014726	journal	March 2015
Synthetic three-dimensional atomic structures assembled atom by atom Barredo, Daniel; Lienhard, Vincent; de Léséleuc, Sylvain Nature, Vol. 561, Issue 7721 https://doi.org/10.1038/s41586-018-0450-2	journal	September 2018
Implementing and Characterizing Precise Multiqubit Measurements Blumoff, J. Z.; Chou, K.; Shen, C. Physical Review X, Vol. 6, Issue 3 https://doi.org/10.1103/PhysRevX.6.031041	journal	September 2016
Genuine 12-Qubit Entanglement on a Superconducting Quantum Processor Gong, Ming; Chen, Ming-Cheng; Zheng, Yarui Physical Review Letters, Vol. 122, Issue 11 https://doi.org/10.1103/PhysRevLett.122.110501	journal	March 2019
Spin- and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains Boll, M.; Hilker, T. A.; Salomon, G. Science, Vol. 353, Issue 6305 https://doi.org/10.1126/science.aag1635	journal	September 2016
Phenomenology of fully many-body-localized systems Huse, David A.; Nandkishore, Rahul; Oganesyan, Vadim Physical Review B, Vol. 90, Issue 17 https://doi.org/10.1103/PhysRevB.90.174202	journal	November 2014
Scrambling and entanglement spreading in long-range spin chains Pappalardi, Silvia; Russomanno, Angelo; Žunkovič, Bojan Physical Review B, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevB.98.134303	journal	October 2018
Scrambling and thermalization in a diffusive quantum many-body system Bohrdt, A.; Mendl, C. B.; Endres, M. New Journal of Physics, Vol. 19, Issue 6 https://doi.org/10.1088/1367-2630/aa719b	journal	June 2017
Measuring the distance between quantum many-body wave functions Chen, Xiao; Zhou, Tianci; Xu, Cenke Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, Issue 7 https://doi.org/10.1088/1742-5468/aace1f	journal	July 2018

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