Built on

Adam R. Brown, Hrant Gharibyan, Stefan Leichenauer, Henry W. Lin, Sepehr Nezami, Grant Salton, Leonard Susskind, Brian Swingle, and Michael Walter, “Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes,” arXiv e-prints , arXiv:1911.06314 (2019), arXiv:1911.06314 [quant-ph]
Original
1911
Earlier work this paper cites.
Jean Dalibard, Yvan Castin, and Klaus Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Physical review letters 68
1992
Earlier work this paper cites.
John Napp, Rolando L. La Placa, Alexander M. Dalzell, Fernando G. S. L. Brandao, and Aram W. Harrow, “Efficient classical simulation of random shallow 2D quantum circuits,” arXiv e-prints , arXiv:2001.00021 (2019), arXiv:2001.00021 [quant-ph]
Original
2001
Earlier work this paper cites.
Ruihua Fan, Sagar Vijay, Ashvin Vishwanath, and Yi-Zhuang You, “Self-Organized Error Correction in Random Unitary Circuits with Measurement,” arXiv e-prints , arXiv:2002.12385 (2020), arXiv:2002.12385 [cond-mat.stat-mech]
Original
2002
Earlier work this paper cites.
Ruihua Fan, Sagar Vijay, Ashvin Vishwanath, and Yi-Zhuang You, “Self-Organized Error Correction in Random Unitary Circuits with Measurement,” arXiv e-prints , arXiv:2002.12385 (2020), arXiv:2002.12385 [cond-mat.stat-mech]
Original
2002
Earlier work this paper cites.
Yaodong Li, Xiao Chen, Andreas W. W. Ludwig, and Matthew P. A. Fisher, “Conformal invariance and quantum non-locality in hybrid quantum circuits,” arXiv e-prints , arXiv:2003.12721 (2020), arXiv:2003.12721 [quant-ph]
Original
2003
Earlier work this paper cites.
Paweł Horodecki, “Measuring quantum entanglement without prior state reconstruction,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
Yaodong Li, Xiao Chen, Andreas W. W. Ludwig, and Matthew P. A. Fisher, “Conformal invariance and quantum non-locality in hybrid quantum circuits,” arXiv e-prints , arXiv:2003.12721 (2020), arXiv:2003.12721 [quant-ph]
Original
2003
Earlier work this paper cites.
Matteo Ippoliti, Michael J. Gullans, Sarang Gopalakrishnan, David A. Huse, and Vedika Khemani, “Entanglement phase transitions in measurement-only dynamics,” arXiv e-prints , arXiv:2004.09560 (2020), arXiv:2004.09560 [quant-ph]
Original
2004
Earlier work this paper cites.
Ali Lavasani, Yahya Alavirad, and Maissam Barkeshli, “Measurement-induced topological entanglement transitions in symmetric random quantum circuits,” arXiv e-prints , arXiv:2004.07243 (2020), arXiv:2004.07243 [quant-ph]
Original
2004
Earlier work this paper cites.
Shengqi Sang and Timothy H. Hsieh, “Measurement Protected Quantum Phases,” arXiv e-prints , arXiv:2004.09509 (2020), arXiv:2004.09509 [cond-mat.stat-mech]
Original
2004
Earlier work this paper cites.
Ori Alberton, Michael Buchhold, and Sebastian Diehl, “Trajectory dependent entanglement transition in a free fermion chain – from extended criticality to area law,” arXiv e-prints , arXiv:2005.09722 (2020), arXiv:2005.09722 [cond-mat.stat-mech]
Original
2005
Earlier work this paper cites.
Marcin Szyniszewski, Alessandro Romito, and Henning Schomerus, “Universality of entanglement transitions from stroboscopic to continuous measurements,” arXiv e-prints , arXiv:2005.01863 (2020), arXiv:2005.01863 [cond-mat.stat-mech]
Original
2005
Earlier work this paper cites.
Sagar Vijay, “Measurement-Driven Phase Transition within a Volume-Law Entangled Phase,” arXiv e-prints , arXiv:2005.03052 (2020), arXiv:2005.03052 [quant-ph]
Original
2005
Earlier work this paper cites.
Pavel Kos, Bruno Bertini, and Tomaž Prosen, “Correlations in Perturbed Dual-Unitary Circuits: Efficient Path-Integral Formula,” arXiv e-prints , arXiv:2006.07304 (2020), arXiv:2006.07304 [cond-mat.stat-mech]
Original
2006
Earlier work this paper cites.
Yaodong Li and Matthew P. A. Fisher, “Statistical Mechanics of Quantum Error-Correcting Codes,” arXiv e-prints , arXiv:2007.03822 (2020), arXiv:2007.03822 [quant-ph]
Original
2007
Earlier work this paper cites.
Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral, “Entanglement in many-body systems,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
Lukasz Fidkowski, Jeongwan Haah, and Matthew B. Hastings, “How Dynamical Quantum Memories Forget,” arXiv e-prints , arXiv:2008.10611 (2020), arXiv:2008.10611 [quant-ph]
Original
2008
Earlier work this paper cites.
Lukasz Fidkowski, Jeongwan Haah, and Matthew B. Hastings, “How Dynamical Quantum Memories Forget,” arXiv e-prints , arXiv:2008.10611 (2020), arXiv:2008.10611 [quant-ph]
Original
2008
Earlier work this paper cites.
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki, “Quantum entanglement,” Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
Pasquale Calabrese and John Cardy, “Entanglement entropy and conformal field theory,” Journal of Physics A: Mathematical and Theoretical 42
2009
Earlier work this paper cites.
Adam Nahum, Sthitadhi Roy, Brian Skinner, and Jonathan Ruhman, “Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory,” arXiv e-prints , arXiv:2009.11311 (2020), arXiv:2009.11311 [cond-mat.stat-mech]
Original
2009
Earlier work this paper cites.
M. C. Bañuls, M. B. Hastings, F. Verstraete, and J. I. Cirac, “Matrix product states for dynamical simulation of infinite chains,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.

Similar

J. Eisert, M. Cramer, and M. B. Plenio, “Colloquium: Area laws for the entanglement entropy,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition , 10th ed. (Cambridge University Press, USA, 2011)
2011
Cited alongside, same era.
Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition , 10th ed. (Cambridge University Press, USA, 2011)
2011
Cited alongside, same era.
Jens H. Bardarson, Frank Pollmann, and Joel E. Moore, “Unbounded growth of entanglement in models of many-body localization,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
A. J. Daley, H. Pichler, J. Schachenmayer, and P. Zoller, “Measuring entanglement growth in quench dynamics of bosons in an optical lattice,” Phys. Rev. Lett. 109

Then

Tiff Brydges, Andreas Elben, Petar Jurcevic, Benoît Vermersch, Christine Maier, Ben P. Lanyon, Peter Zoller, Rainer Blatt, and Christian F. Roos, “Probing rényi entanglement entropy via randomized measurements,” Science 364
2019
Later among the works it cites.
Brian Skinner, Jonathan Ruhman, and Adam Nahum, “Measurement-induced phase transitions in the dynamics of entanglement,” Phys. Rev. X 9
2019
Later among the works it cites.
Yaodong Li, Xiao Chen, and Matthew P. A. Fisher, “Measurement-driven entanglement transition in hybrid quantum circuits,” Phys. Rev. B 100
2019
Later among the works it cites.
Xiangyu Cao, Antoine Tilloy, and Andrea De Luca, “Entanglement in a fermion chain under continuous monitoring,” SciPost Phys. 7
2019
Later among the works it cites.
A. Elben, B. Vermersch, C. F. Roos, and P. Zoller, “Statistical correlations between locally randomized measurements: A toolbox for probing entanglement in many-body quantum states,” Phys. Rev. A 99

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2020

Postselection-free entanglement dynamics via spacetime duality

Ippoliti, Matteo, Khemani, Vedika

Understand

The dynamics of entanglement in `hybrid' non-unitary circuits (for example, involving both unitary gates and quantum measurements) has recently become an object of intense study.

A major hurdle toward experimentally realizing this physics is the need to apply \emph{postselection} on random measurement outcomes in order to repeatedly prepare a given output state, resulting in an exponential overhead.
We propose a method to sidestep this issue in a wide class of non-unitary circuits by taking advantage of \emph{spacetime duality}.
This method maps the purification dynamics of a mixed state under non-unitary evolution onto a particular correlation function in an associated unitary circuit.

Built on

Adam R. Brown, Hrant Gharibyan, Stefan Leichenauer, Henry W. Lin, Sepehr Nezami, Grant Salton, Leonard Susskind, Brian Swingle, and Michael Walter, “Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes,” arXiv e-prints , arXiv:1911.06314 (2019), arXiv:1911.06314 [quant-ph]
Original
1911
Earlier work this paper cites.
Jean Dalibard, Yvan Castin, and Klaus Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Physical review letters 68
1992
Earlier work this paper cites.
John Napp, Rolando L. La Placa, Alexander M. Dalzell, Fernando G. S. L. Brandao, and Aram W. Harrow, “Efficient classical simulation of random shallow 2D quantum circuits,” arXiv e-prints , arXiv:2001.00021 (2019), arXiv:2001.00021 [quant-ph]
Original
2001
Earlier work this paper cites.
Ruihua Fan, Sagar Vijay, Ashvin Vishwanath, and Yi-Zhuang You, “Self-Organized Error Correction in Random Unitary Circuits with Measurement,” arXiv e-prints , arXiv:2002.12385 (2020), arXiv:2002.12385 [cond-mat.stat-mech]
Original
2002
Earlier work this paper cites.
Ruihua Fan, Sagar Vijay, Ashvin Vishwanath, and Yi-Zhuang You, “Self-Organized Error Correction in Random Unitary Circuits with Measurement,” arXiv e-prints , arXiv:2002.12385 (2020), arXiv:2002.12385 [cond-mat.stat-mech]
Original
2002
Earlier work this paper cites.
Yaodong Li, Xiao Chen, Andreas W. W. Ludwig, and Matthew P. A. Fisher, “Conformal invariance and quantum non-locality in hybrid quantum circuits,” arXiv e-prints , arXiv:2003.12721 (2020), arXiv:2003.12721 [quant-ph]
Original
2003
Earlier work this paper cites.
Paweł Horodecki, “Measuring quantum entanglement without prior state reconstruction,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
Yaodong Li, Xiao Chen, Andreas W. W. Ludwig, and Matthew P. A. Fisher, “Conformal invariance and quantum non-locality in hybrid quantum circuits,” arXiv e-prints , arXiv:2003.12721 (2020), arXiv:2003.12721 [quant-ph]
Original
2003
Earlier work this paper cites.
Matteo Ippoliti, Michael J. Gullans, Sarang Gopalakrishnan, David A. Huse, and Vedika Khemani, “Entanglement phase transitions in measurement-only dynamics,” arXiv e-prints , arXiv:2004.09560 (2020), arXiv:2004.09560 [quant-ph]
Original
2004
Earlier work this paper cites.
Ali Lavasani, Yahya Alavirad, and Maissam Barkeshli, “Measurement-induced topological entanglement transitions in symmetric random quantum circuits,” arXiv e-prints , arXiv:2004.07243 (2020), arXiv:2004.07243 [quant-ph]
Original
2004
Earlier work this paper cites.
Shengqi Sang and Timothy H. Hsieh, “Measurement Protected Quantum Phases,” arXiv e-prints , arXiv:2004.09509 (2020), arXiv:2004.09509 [cond-mat.stat-mech]
Original
2004
Earlier work this paper cites.
Ori Alberton, Michael Buchhold, and Sebastian Diehl, “Trajectory dependent entanglement transition in a free fermion chain – from extended criticality to area law,” arXiv e-prints , arXiv:2005.09722 (2020), arXiv:2005.09722 [cond-mat.stat-mech]
Original
2005
Earlier work this paper cites.
Marcin Szyniszewski, Alessandro Romito, and Henning Schomerus, “Universality of entanglement transitions from stroboscopic to continuous measurements,” arXiv e-prints , arXiv:2005.01863 (2020), arXiv:2005.01863 [cond-mat.stat-mech]
Original
2005
Earlier work this paper cites.
Sagar Vijay, “Measurement-Driven Phase Transition within a Volume-Law Entangled Phase,” arXiv e-prints , arXiv:2005.03052 (2020), arXiv:2005.03052 [quant-ph]
Original
2005
Earlier work this paper cites.
Pavel Kos, Bruno Bertini, and Tomaž Prosen, “Correlations in Perturbed Dual-Unitary Circuits: Efficient Path-Integral Formula,” arXiv e-prints , arXiv:2006.07304 (2020), arXiv:2006.07304 [cond-mat.stat-mech]
Original
2006
Earlier work this paper cites.
Yaodong Li and Matthew P. A. Fisher, “Statistical Mechanics of Quantum Error-Correcting Codes,” arXiv e-prints , arXiv:2007.03822 (2020), arXiv:2007.03822 [quant-ph]
Original
2007
Earlier work this paper cites.
Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral, “Entanglement in many-body systems,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
Lukasz Fidkowski, Jeongwan Haah, and Matthew B. Hastings, “How Dynamical Quantum Memories Forget,” arXiv e-prints , arXiv:2008.10611 (2020), arXiv:2008.10611 [quant-ph]
Original
2008
Earlier work this paper cites.
Lukasz Fidkowski, Jeongwan Haah, and Matthew B. Hastings, “How Dynamical Quantum Memories Forget,” arXiv e-prints , arXiv:2008.10611 (2020), arXiv:2008.10611 [quant-ph]
Original
2008
Earlier work this paper cites.
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki, “Quantum entanglement,” Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
Pasquale Calabrese and John Cardy, “Entanglement entropy and conformal field theory,” Journal of Physics A: Mathematical and Theoretical 42
2009
Earlier work this paper cites.
Adam Nahum, Sthitadhi Roy, Brian Skinner, and Jonathan Ruhman, “Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory,” arXiv e-prints , arXiv:2009.11311 (2020), arXiv:2009.11311 [cond-mat.stat-mech]
Original
2009
Earlier work this paper cites.
M. C. Bañuls, M. B. Hastings, F. Verstraete, and J. I. Cirac, “Matrix product states for dynamical simulation of infinite chains,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.

Similar

J. Eisert, M. Cramer, and M. B. Plenio, “Colloquium: Area laws for the entanglement entropy,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition , 10th ed. (Cambridge University Press, USA, 2011)
2011
Cited alongside, same era.
Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition , 10th ed. (Cambridge University Press, USA, 2011)
2011
Cited alongside, same era.
Jens H. Bardarson, Frank Pollmann, and Joel E. Moore, “Unbounded growth of entanglement in models of many-body localization,” Phys. Rev. Lett. 109
2012
Cited alongside, same era.
A. J. Daley, H. Pichler, J. Schachenmayer, and P. Zoller, “Measuring entanglement growth in quench dynamics of bosons in an optical lattice,” Phys. Rev. Lett. 109

Then

Tiff Brydges, Andreas Elben, Petar Jurcevic, Benoît Vermersch, Christine Maier, Ben P. Lanyon, Peter Zoller, Rainer Blatt, and Christian F. Roos, “Probing rényi entanglement entropy via randomized measurements,” Science 364
2019
Later among the works it cites.
Brian Skinner, Jonathan Ruhman, and Adam Nahum, “Measurement-induced phase transitions in the dynamics of entanglement,” Phys. Rev. X 9
2019
Later among the works it cites.
Yaodong Li, Xiao Chen, and Matthew P. A. Fisher, “Measurement-driven entanglement transition in hybrid quantum circuits,” Phys. Rev. B 100
2019
Later among the works it cites.
Xiangyu Cao, Antoine Tilloy, and Andrea De Luca, “Entanglement in a fermion chain under continuous monitoring,” SciPost Phys. 7
2019
Later among the works it cites.
A. Elben, B. Vermersch, C. F. Roos, and P. Zoller, “Statistical correlations between locally randomized measurements: A toolbox for probing entanglement in many-body quantum states,” Phys. Rev. A 99

Beyond the bibliography

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2012

Cited alongside, same era.

Dmitry A. Abanin and Eugene Demler, “Measuring entanglement entropy of a generic many-body system with a quantum switch,” Phys. Rev. Lett. 109

2012

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S. J. van Enk and C. W. J. Beenakker, “Measuring Tr ρ n \mathrm{Tr}{\rho}^{n} on single copies of ρ \rho using random measurements,” Phys. Rev. Lett. 108

2012

Cited alongside, same era.

Hyungwon Kim and David A. Huse, “Ballistic spreading of entanglement in a diffusive nonintegrable system,” Phys. Rev. Lett. 111

2013

Cited alongside, same era.

Thomas Hartman and Juan Maldacena, “Time evolution of entanglement entropy from black hole interiors,” Journal of High Energy Physics 2013

2013

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Hong Liu and S. Josephine Suh, “Entanglement tsunami: Universal scaling in holographic thermalization,” Phys. Rev. Lett. 112

2014

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2015

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2015

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2019

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