Measurement-induced multipartite-entanglement regimes in collective spin systems

Poggi, Pablo M.; Muñoz-Arias, Manuel H.

doi:10.22331/q-2024-01-18-1229

Measurement-induced multipartite-entanglement regimes in collective spin systems

Journal Article · Thu Jan 18 00:00:00 EST 2024 · Quantum

DOI:https://doi.org/10.22331/q-2024-01-18-1229· OSTI ID:2281760

Poggi, Pablo M. ^[1]; Muñoz-Arias, Manuel H. ^[2]

Department of Physics, SUPA and University of Strathclyde, Glasgow G4 0NG, United Kingdom, Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA
Institut Quantique and Département de Physique, Université de Sherbrooke, Sherbrooke, Quebec, J1K 2R1, Canada

We study the competing effects of collective generalized measurements and interaction-induced scrambling in the dynamics of an ensemble of spin-1/2 particles at the level of quantum trajectories. This setup can be considered as analogous to the one leading to measurement-induced transitions in quantum circuits. We show that the interplay between collective unitary dynamics and measurements leads to three regimes of the average Quantum Fisher Information (QFI), which is a witness of multipartite entanglement, as a function of the monitoring strength. While both weak and strong measurements lead to extensive QFI density (i.e., individual quantum trajectories yield states displaying Heisenberg scaling), an intermediate regime of classical-like states emerges for all system sizes where the measurement effectively competes with the scrambling dynamics and precludes the development of quantum correlations, leading to sub-Heisenberg-limited states. We characterize these regimes and the crossovers between them using numerical and analytical tools, and discuss the connections between our findings, entanglement phases in monitored many-body systems, and the quantum-to-classical transition.

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Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). Quantum Systems Accelerator (QSA)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2281760

Alternate ID(s):: OSTI ID: 2582916

Journal Information:: Quantum, Journal Name: Quantum Vol. 8; ISSN 2521-327X

Publisher:: Verein zur Forderung des Open Access Publizierens in den QuantenwissenschaftenCopyright Statement

Country of Publication:: Austria

Language:: English

References (66)

Entanglement Dynamics in Hybrid Quantum Circuits Potter, Andrew C.; Vasseur, Romain Entanglement in Spin Chains https://doi.org/10.1007/978-3-031-03998-0_9	book	April 2022
Generalized phase space method in spin systems-spin coherent state representation Takahashi, Yoshinori; Shibata, Fumiaki Journal of Statistical Physics, Vol. 14, Issue 1 https://doi.org/10.1007/BF01020134	journal	January 1976
Classical and quantum chaos for a kicked top Haake, F.; Kuś, M.; Scharf, R. Zeitschrift für Physik B Condensed Matter, Vol. 65, Issue 3 https://doi.org/10.1007/BF01303727	journal	September 1987
Symmetry versus degree of level repulsion for kicked quantum systems Kuś, M.; Scharf, R.; Haake, F. Zeitschrift für Physik B Condensed Matter, Vol. 66, Issue 1 https://doi.org/10.1007/BF01312770	journal	March 1987
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
Phase space representation of quantum dynamics Polkovnikov, Anatoli Annals of Physics, Vol. 325, Issue 8 https://doi.org/10.1016/j.aop.2010.02.006	journal	August 2010
Digital quantum simulation, Trotter errors, and quantum chaos of the kicked top Sieberer, Lukas M.; Olsacher, Tobias; Elben, Andreas npj Quantum Information, Vol. 5, Issue 1 https://doi.org/10.1038/s41534-019-0192-5	journal	September 2019
Measurement-induced quantum phases realized in a trapped-ion quantum computer Noel, Crystal; Niroula, Pradeep; Zhu, Daiwei Nature Physics, Vol. 18, Issue 7 https://doi.org/10.1038/s41567-022-01619-7	journal	June 2022
Exploring dynamical phase transitions with cold atoms in an optical cavity Muniz, Juan A.; Barberena, Diego; Lewis-Swan, Robert J. Nature, Vol. 580, Issue 7805 https://doi.org/10.1038/s41586-020-2224-x	journal	April 2020
Measurement-induced entanglement and teleportation on a noisy quantum processor No authors listed Nature, Vol. 622, Issue 7983 https://doi.org/10.1038/s41586-023-06505-7	journal	October 2023
On quantum mean-field models and their quantum annealing Bapst, Victor; Semerjian, Guilhem Journal of Statistical Mechanics: Theory and Experiment, Vol. 2012, Issue 06 https://doi.org/10.1088/1742-5468/2012/06/p06007	journal	June 2012
Excited-state quantum phase transitions Cejnar, Pavel; Stránský, Pavel; Macek, Michal Journal of Physics A: Mathematical and Theoretical, Vol. 54, Issue 13 https://doi.org/10.1088/1751-8121/abdfe8	journal	March 2021
Quantifying the Sensitivity to Errors in Analog Quantum Simulation Poggi, Pablo M.; Lysne, Nathan K.; Kuper, Kevin W. PRX Quantum, Vol. 1, Issue 2 https://doi.org/10.1103/PRXQuantum.1.020308	journal	November 2020
Quantum Simulators: Architectures and Opportunities Altman, Ehud; Brown, Kenneth R.; Carleo, Giuseppe PRX Quantum, Vol. 2, Issue 1 https://doi.org/10.1103/PRXQuantum.2.017003	journal	February 2021
Collective Spin-Light and Light-Mediated Spin-Spin Interactions in an Optical Cavity Li, Zeyang; Braverman, Boris; Colombo, Simone PRX Quantum, Vol. 3, Issue 2 https://doi.org/10.1103/PRXQuantum.3.020308	journal	April 2022
Phase-Space Geometry and Optimal State Preparation in Quantum Metrology with Collective Spins Muñoz-Arias, Manuel H.; Deutsch, Ivan H.; Poggi, Pablo M. PRX Quantum, Vol. 4, Issue 2 https://doi.org/10.1103/PRXQuantum.4.020314	journal	April 2023
Quantum Simulation for High-Energy Physics Bauer, Christian W.; Davoudi, Zohreh; Balantekin, A. Baha PRX Quantum, Vol. 4, Issue 2 https://doi.org/10.1103/PRXQuantum.4.027001	journal	May 2023
Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet Holstein, T.; Primakoff, H. Physical Review, Vol. 58, Issue 12 https://doi.org/10.1103/PhysRev.58.1098	journal	December 1940
Simulation of the complex dynamics of mean-field p -spin models using measurement-based quantum feedback control Muñoz-Arias, Manuel H.; Deutsch, Ivan H.; Jessen, Poul S. Physical Review A, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevA.102.022610	journal	August 2020
Bridging entanglement dynamics and chaos in semiclassical systems Lerose, Alessio; Pappalardi, Silvia Physical Review A, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevA.102.032404	journal	September 2020
Scrambling and quantum chaos indicators from long-time properties of operator distributions Omanakuttan, Sivaprasad; Chinni, Karthik; Blocher, Philip Daniel Physical Review A, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevA.107.032418	journal	March 2023
Squeezed spin states Kitagawa, Masahiro; Ueda, Masahito Physical Review A, Vol. 47, Issue 6 https://doi.org/10.1103/PhysRevA.47.5138	journal	June 1993
Quantum nondemolition measurement of spin via the paramagnetic Faraday rotation Takahashi, Y.; Honda, K.; Tanaka, N. Physical Review A, Vol. 60, Issue 6 https://doi.org/10.1103/PhysRevA.60.4974	journal	December 1999
Many-particle entanglement in two-component Bose-Einstein condensates Micheli, A.; Jaksch, D.; Cirac, J. I. Physical Review A, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevA.67.013607	journal	January 2003
Characterizing the entanglement of symmetric many-particle spin-12systems Stockton, John K.; Geremia, J. M.; Doherty, Andrew C. Physical Review A, Vol. 67, Issue 2 https://doi.org/10.1103/PhysRevA.67.022112	journal	February 2003
Measurement-induced spin squeezing in a cavity Saito, Hiroki; Ueda, Masahito Physical Review A, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevA.68.043820	journal	October 2003
Fisher information and multiparticle entanglement Hyllus, Philipp; Laskowski, Wiesław; Krischek, Roland Physical Review A, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevA.85.022321	journal	February 2012
Three-dimensional light-matter interface for collective spin squeezing in atomic ensembles Baragiola, Ben Q.; Norris, Leigh M.; Montaño, Enrique Physical Review A, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevA.89.033850	journal	March 2014
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
Entanglement transition from variable-strength weak measurements Szyniszewski, M.; Romito, A.; Schomerus, H. Physical Review B, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevB.100.064204	journal	August 2019
Exact dynamics in dual-unitary quantum circuits Piroli, Lorenzo; Bertini, Bruno; Cirac, J. Ignacio Physical Review B, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevB.101.094304	journal	March 2020
Theory of the phase transition in random unitary circuits with measurements Bao, Yimu; Choi, Soonwon; Altman, Ehud Physical Review B, Vol. 101, Issue 10 https://doi.org/10.1103/PhysRevB.101.104301	journal	March 2020
Measurement-induced criticality in random quantum circuits Jian, Chao-Ming; You, Yi-Zhuang; Vasseur, Romain Physical Review B, Vol. 101, Issue 10 https://doi.org/10.1103/PhysRevB.101.104302	journal	March 2020
Dynamical and excited-state quantum phase transitions in collective systems Corps, Ángel L.; Relaño, Armando Physical Review B, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevB.106.024311	journal	July 2022
Multipartite entanglement in the measurement-induced phase transition of the quantum Ising chain Paviglianiti, Alessio; Silva, Alessandro Physical Review B, Vol. 108, Issue 18 https://doi.org/10.1103/PhysRevB.108.184302	journal	November 2023
Purification timescales in monitored fermions Lóio, Hugo; De Luca, Andrea; De Nardis, Jacopo Physical Review B, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevB.108.L020306	journal	July 2023
Floquet time crystal in the Lipkin-Meshkov-Glick model Russomanno, Angelo; Iemini, Fernando; Dalmonte, Marcello Physical Review B, Vol. 95, Issue 21 https://doi.org/10.1103/PhysRevB.95.214307	journal	June 2017
Quantum Zeno effect and the many-body entanglement transition Li, Yaodong; Chen, Xiao; Fisher, Matthew P. A. Physical Review B, Vol. 98, Issue 20 https://doi.org/10.1103/PhysRevB.98.205136	journal	November 2018
Nonlinear dynamics and quantum chaos of a family of kicked p -spin models Muñoz-Arias, Manuel H.; Poggi, Pablo M.; Deutsch, Ivan H. Physical Review E, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevE.103.052212	journal	May 2021
Entanglement and the generation of random states in the quantum chaotic dynamics of kicked coupled tops Trail, Collin M.; Madhok, Vaibhav; Deutsch, Ivan H. Physical Review E, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevE.78.046211	journal	October 2008
Entanglement, Nonlinear Dynamics, and the Heisenberg Limit Pezzé, Luca; Smerzi, Augusto Physical Review Letters, Vol. 102, Issue 10 https://doi.org/10.1103/PhysRevLett.102.100401	journal	March 2009
Floquet-Engineering Counterdiabatic Protocols in Quantum Many-Body Systems Claeys, Pieter W.; Pandey, Mohit; Sels, Dries Physical Review Letters, Vol. 123, Issue 9 https://doi.org/10.1103/PhysRevLett.123.090602	journal	August 2019
Simulating Nonlinear Dynamics of Collective Spins via Quantum Measurement and Feedback Muñoz-Arias, Manuel H.; Poggi, Pablo M.; Jessen, Poul S. Physical Review Letters, Vol. 124, Issue 11 https://doi.org/10.1103/PhysRevLett.124.110503	journal	March 2020
Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition Choi, Soonwon; Bao, Yimu; Qi, Xiao-Liang Physical Review Letters, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRevLett.125.030505	journal	July 2020
Entanglement Entropy Scaling Transition under Competing Monitoring Protocols Van Regemortel, Mathias; Cian, Ze-Pei; Seif, Alireza Physical Review Letters, Vol. 126, Issue 12 https://doi.org/10.1103/PhysRevLett.126.123604	journal	March 2021
Entanglement and Purification Transitions in Non-Hermitian Quantum Mechanics Gopalakrishnan, Sarang; Gullans, Michael J. Physical Review Letters, Vol. 126, Issue 17 https://doi.org/10.1103/PhysRevLett.126.170503	journal	April 2021
Measurement-Induced Transition in Long-Range Interacting Quantum Circuits Block, Maxwell; Bao, Yimu; Choi, Soonwon Physical Review Letters, Vol. 128, Issue 1 https://doi.org/10.1103/PhysRevLett.128.010604	journal	January 2022
N -Body Interactions between Trapped Ion Qubits via Spin-Dependent Squeezing Katz, Or; Cetina, Marko; Monroe, Christopher Physical Review Letters, Vol. 129, Issue 6 https://doi.org/10.1103/PhysRevLett.129.063603	journal	August 2022
Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates Corps, Ángel L.; Relaño, Armando Physical Review Letters, Vol. 130, Issue 10 https://doi.org/10.1103/PhysRevLett.130.100402	journal	March 2023
Exponential Shortcut to Measurement-Induced Entanglement Phase Transitions Moghaddam, Ali G.; Pöyhönen, Kim; Ojanen, Teemu Physical Review Letters, Vol. 131, Issue 2 https://doi.org/10.1103/PhysRevLett.131.020401	journal	July 2023
Statistical distance and the geometry of quantum states Braunstein, Samuel L.; Caves, Carlton M. Physical Review Letters, Vol. 72, Issue 22 https://doi.org/10.1103/PhysRevLett.72.3439	journal	May 1994
Generation of Spin Squeezing via Continuous Quantum Nondemolition Measurement Kuzmich, A.; Mandel, L.; Bigelow, N. P. Physical Review Letters, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevLett.85.1594	journal	August 2000
Continuous Quantum Measurement and the Emergence of Classical Chaos Bhattacharya, Tanmoy; Habib, Salman; Jacobs, Kurt Physical Review Letters, Vol. 85, Issue 23 https://doi.org/10.1103/PhysRevLett.85.4852	journal	December 2000
Measurement-induced phase transitions in sparse nonlocal scramblers Hashizume, Tomohiro; Bentsen, Gregory; Daley, Andrew J. Physical Review Research, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevResearch.4.013174	journal	March 2022
Floquet time crystals in driven spin systems with all-to-all p -body interactions Muñoz-Arias, Manuel H.; Chinni, Karthik; Poggi, Pablo M. Physical Review Research, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevResearch.4.023018	journal	April 2022
Dynamical Purification Phase Transition Induced by Quantum Measurements Gullans, Michael J.; Huse, David A. Physical Review X, Vol. 10, Issue 4 https://doi.org/10.1103/PhysRevX.10.041020	journal	October 2020
Entanglement Phase Transitions in Measurement-Only Dynamics Ippoliti, Matteo; Gullans, Michael J.; Gopalakrishnan, Sarang Physical Review X, Vol. 11, Issue 1 https://doi.org/10.1103/PhysRevX.11.011030	journal	February 2021
Measurement-Induced Phase Transitions in the Dynamics of Entanglement Skinner, Brian; Ruhman, Jonathan; Nahum, Adam Physical Review X, Vol. 9, Issue 3 https://doi.org/10.1103/PhysRevX.9.031009	journal	July 2019
Quantum metrology with nonclassical states of atomic ensembles Pezzè, Luca; Smerzi, Augusto; Oberthaler, Markus K. Reviews of Modern Physics, Vol. 90, Issue 3 https://doi.org/10.1103/RevModPhys.90.035005	journal	September 2018
Discrete Time Crystals Else, Dominic V.; Monroe, Christopher; Nayak, Chetan Annual Review of Condensed Matter Physics, Vol. 11, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031119-050658	journal	March 2020
Random Quantum Circuits Fisher, Matthew P. A.; Khemani, Vedika; Nahum, Adam Annual Review of Condensed Matter Physics, Vol. 14, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031720-030658	journal	March 2023
Mean and variance of ratios of proportions from categories of a multinomial distribution Duris, Frantisek; Gazdarica, Juraj; Gazdaricova, Iveta Journal of Statistical Distributions and Applications, Vol. 5, Issue 1 https://doi.org/10.1186/s40488-018-0083-x	journal	January 2018
Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems Huber, Julian; Kirton, Peter; Rabl, Peter SciPost Physics, Vol. 10, Issue 2 https://doi.org/10.21468/SciPostPhys.10.2.045	journal	February 2021
Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition Biella, Alberto; Schiró, Marco Quantum, Vol. 5 https://doi.org/10.22331/q-2021-08-19-528	journal	August 2021
Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains Sierant, Piotr; Chiriacò, Giuliano; Surace, Federica M. Quantum, Vol. 6 https://doi.org/10.22331/q-2022-02-02-638	journal	February 2022
The Quantum Approximate Optimization Algorithm and the Sherrington-Kirkpatrick Model at Infinite Size Farhi, Edward; Goldstone, Jeffrey; Gutmann, Sam Quantum, Vol. 6 https://doi.org/10.22331/q-2022-07-07-759	journal	July 2022

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