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Title: Probing Scrambling Using Statistical Correlations between Randomized Measurements

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Published Article
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Physical Review X
Additional Journal Information:
Journal Name: Physical Review X Journal Volume: 9 Journal Issue: 2; Journal ID: ISSN 2160-3308
American Physical Society
Country of Publication:
United States

Citation Formats

Vermersch, B., Elben, A., Sieberer, L. M., Yao, N. Y., and Zoller, P. Probing Scrambling Using Statistical Correlations between Randomized Measurements. United States: N. p., 2019. Web. doi:10.1103/PhysRevX.9.021061.
Vermersch, B., Elben, A., Sieberer, L. M., Yao, N. Y., & Zoller, P. Probing Scrambling Using Statistical Correlations between Randomized Measurements. United States. doi:10.1103/PhysRevX.9.021061.
Vermersch, B., Elben, A., Sieberer, L. M., Yao, N. Y., and Zoller, P. Thu . "Probing Scrambling Using Statistical Correlations between Randomized Measurements". United States. doi:10.1103/PhysRevX.9.021061.
title = {Probing Scrambling Using Statistical Correlations between Randomized Measurements},
author = {Vermersch, B. and Elben, A. and Sieberer, L. M. and Yao, N. Y. and Zoller, P.},
abstractNote = {},
doi = {10.1103/PhysRevX.9.021061},
journal = {Physical Review X},
number = 2,
volume = 9,
place = {United States},
year = {2019},
month = {6}

Journal Article:
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DOI: 10.1103/PhysRevX.9.021061

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Works referenced in this record:

Local Conservation Laws and the Structure of the Many-Body Localized States
journal, September 2013

Experimental investigations of dipole–dipole interactions between a few Rydberg atoms
journal, June 2016

  • Browaeys, Antoine; Barredo, Daniel; Lahaye, Thierry
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 49, Issue 15
  • DOI: 10.1088/0953-4075/49/15/152001

Probing the Quench Dynamics of Antiferromagnetic Correlations in a 2D Quantum Ising Spin System
journal, June 2018

Black holes as mirrors: quantum information in random subsystems
journal, September 2007

Out-of-time-ordered correlators in many-body localized systems: Out-of-time-ordered correlators in many-body localized systems
journal, December 2016

  • Huang, Yichen; Zhang, Yong-Liang; Chen, Xie
  • Annalen der Physik, Vol. 529, Issue 7
  • DOI: 10.1002/andp.201600318

Building logical qubits in a superconducting quantum computing system
journal, January 2017

  • Gambetta, Jay M.; Chow, Jerry M.; Steffen, Matthias
  • npj Quantum Information, Vol. 3, Issue 1
  • DOI: 10.1038/s41534-016-0004-0

Measuring the scrambling of quantum information
journal, October 2016

Chaos and complexity by design
journal, April 2017

  • Roberts, Daniel A.; Yoshida, Beni
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)121

Quantum quenches in 1  +  1 dimensional conformal field theories
journal, June 2016

Chaos in quantum channels
journal, February 2016

  • Hosur, Pavan; Qi, Xiao-Liang; Roberts, Daniel A.
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)004

Out-of-time-order correlation for many-body localization
journal, May 2017

Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
journal, October 1996

  • Brouwer, P. W.; Beenakker, C. W. J.
  • Journal of Mathematical Physics, Vol. 37, Issue 10
  • DOI: 10.1063/1.531667

Many-body interferometry of a Rydberg-dressed spin lattice
journal, August 2016

  • Zeiher, Johannes; van Bijnen, Rick; Schauß, Peter
  • Nature Physics, Vol. 12, Issue 12
  • DOI: 10.1038/nphys3835

Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group
journal, March 2006

Unitary n -designs via random quenches in atomic Hubbard and spin models: Application to the measurement of Rényi entropies
journal, February 2018

Black holes and the butterfly effect
journal, March 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)067

Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
journal, November 2017

Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993

Emergent locality in systems with power-law interactions
journal, January 2019

Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
journal, November 2009

Interaction-induced transition in the quantum chaotic dynamics of a disordered metal
journal, June 2019

Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
journal, February 2018

Measuring out-of-time-order correlations and multiple quantum spectra in a trapped-ion quantum magnet
journal, May 2017

  • Gärttner, Martin; Bohnet, Justin G.; Safavi-Naini, Arghavan
  • Nature Physics, Vol. 13, Issue 8
  • DOI: 10.1038/nphys4119

Digitized adiabatic quantum computing with a superconducting circuit
journal, June 2016

Measurement of many-body chaos using a quantum clock
journal, December 2016

Quantum simulations with ultracold quantum gases
journal, April 2012

  • Bloch, Immanuel; Dalibard, Jean; Nascimbène, Sylvain
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2259

Quantum simulations with trapped ions
journal, April 2012

Solvable model for a dynamical quantum phase transition from fast to slow scrambling
journal, April 2017

The density-matrix renormalization group in the age of matrix product states
journal, January 2011

Resilience of scrambling measurements
journal, June 2018

Many-body localization phase transition
journal, November 2010

A bound on chaos
journal, August 2016

  • Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)106

QuTiP 2: A Python framework for the dynamics of open quantum systems
journal, April 2013

  • Johansson, J. R.; Nation, P. D.; Nori, Franco
  • Computer Physics Communications, Vol. 184, Issue 4
  • DOI: 10.1016/j.cpc.2012.11.019

Out-of-time-order correlation at a quantum phase transition
journal, August 2017

Efficient Quantum Pseudorandomness with Nearly Time-Independent Hamiltonian Dynamics
journal, April 2017

Disentangling Scrambling and Decoherence via Quantum Teleportation
journal, January 2019

Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model
journal, September 2016

Measuring Out-of-Time-Order Correlators on a Nuclear Magnetic Resonance Quantum Simulator
journal, July 2017

Verified quantum information scrambling
journal, March 2019

Exploring the many-body localization transition in two dimensions
journal, June 2016

Quantum simulations with ultracold atoms in optical lattices
journal, September 2017

Exact and approximate unitary 2-designs and their application to fidelity estimation
journal, July 2009

Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
journal, April 2019

Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006

Site-resolved imaging of a fermionic Mott insulator
journal, February 2016

Operator Spreading in Random Unitary Circuits
journal, April 2018

Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
journal, April 2018

  • von Keyserlingk, C. W.; Rakovszky, Tibor; Pollmann, Frank
  • Physical Review X, Vol. 8, Issue 2
  • DOI: 10.1103/PhysRevX.8.021013

Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015

Synthetic three-dimensional atomic structures assembled atom by atom
journal, September 2018

Implementing and Characterizing Precise Multiqubit Measurements
journal, September 2016

Genuine 12-Qubit Entanglement on a Superconducting Quantum Processor
journal, March 2019

Spin- and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains
journal, September 2016

Phenomenology of fully many-body-localized systems
journal, November 2014

Scrambling and entanglement spreading in long-range spin chains
journal, October 2018

Scrambling and thermalization in a diffusive quantum many-body system
journal, June 2017

Measuring the distance between quantum many-body wave functions
journal, July 2018

  • Chen, Xiao; Zhou, Tianci; Xu, Cenke
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, Issue 7
  • DOI: 10.1088/1742-5468/aace1f