Built on

S. Choi, Y. Bao, X.-L. Qi, and E. Altman, Quantum error correction and entanglement phase transition in random unitary circuits with projective measurements (2019), eprint arXiv:1903.05124
Original
1903
Earlier work this paper cites.
M. J. Gullans and D. A. Huse, Dynamical purification phase transition induced by quantum measurements (2019), eprint arXiv:1905.05195
Original
1905
Earlier work this paper cites.
Y. Bao, S. Choi, and E. Altman, Theory of the Phase Transition in Random Unitary Circuits with Measurements (2019), eprint arXiv:1908.04305
Original
1908
Earlier work this paper cites.
C.-M. Jian, Y.-Z. You, R. Vasseur, and A. W. W. Ludwig, Measurement-induced criticality in random quantum circuits (2019), eprint arXiv:1908.08051
Original
1908
Earlier work this paper cites.
F. J. Wegner, Phase Transitions and Critical Phenomena
1976
Earlier work this paper cites.
K. Binder, Phase Transitions and Critical Phenomena
1983
Earlier work this paper cites.
J. L. Cardy, Conformal invariance and surface critical behavior , Nucl. Phys. B 240
1984
Earlier work this paper cites.
X. G. Wen and Q. Niu, Ground-state degeneracy of the fractional quantum hall states in the presence of a random potential and on high-genus riemann surfaces , Phys. Rev. B 41
1990
Earlier work this paper cites.
J. M. Deutsch, Quantum statistical mechanics in a closed system , Phys. Rev. A 43
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M. Srednicki, Chaos and quantum thermalization , Phys. Rev. E 50
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R. A. Monetti and E. V. Albano, Multiscaling behavior in the crossover between surface and bulk critical exponents for percolation in two dimensions , Phys. Rev. E 49
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Earlier work this paper cites.
B. Schumacher and M. A. Nielsen, Quantum data processing and error correction , Phys. Rev. A 54
1996
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A. R. Calderbank and P. W. Shor, Good quantum error-correcting codes exist , Phys. Rev. A 54
1996
Earlier work this paper cites.

Similar

A. M. Steane, Multiple-particle interference and quantum error correction , Proc. R. Soc. Lond. A 452
1996
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D. Gottesman, The Heisenberg Representation of Quantum Computers (1998), eprint arXiv:quant-ph/9807006
1998
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M. B. Plenio and P. L. Knight, The quantum-jump approach to dissipative dynamics in quantum optics , Rev. Mod. Phys. 70
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R. Fan, S. Vijay, A. Vishwanath, and Y.-Z. You, Self-Organized Error Correction in Random Unitary Circuits with Measurement (2020), eprint arXiv:2002.12385
Original
2002
Cited alongside, same era.

Then

A. S. Holevo, Quantum Systems, Channels, Information (Walter de Gruyter GmbH, Berlin/Boston, 2012)
2012
Later among the works it cites.
R. Nandkishore and D. A. Huse, Many-body localization and thermalization in quantum statistical mechanics , Annu. Rev. Condens. Matter Phys. 6
2015
Later among the works it cites.
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics , Adv. Phys. 65
2016
Later among the works it cites.
Y. Li, X. Chen, and M. P. A. Fisher, Quantum zeno effect and the many-body entanglement transition , Phys. Rev. B 98
2018
Later among the works it cites.
R. Vasseur, A. C. Potter, Y.-Z. You, and A. W. W. Ludwig, Entanglement Transitions from Holographic Random Tensor Networks (2018), eprint arXiv:1807.07082
Original
2018

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2019

Scalable probes of measurement-induced criticality

Gullans, Michael J., Huse, David A.

Understand

We uncover a local order parameter for measurement-induced phase transitions: the average entropy of a single reference qubit initially entangled with the system.

Using this order parameter, we identify scalable probes of measurement-induced criticality (MIC) that are immediately applicable to advanced quantum computing platforms.
We test our proposal on a 1+1 dimensional stabilizer circuit model that can be classically simulated in polynomial time.
We introduce the concept of a "decoding light cone" to establish the local and efficiently measurable nature of this probe.

Built on

S. Choi, Y. Bao, X.-L. Qi, and E. Altman, Quantum error correction and entanglement phase transition in random unitary circuits with projective measurements (2019), eprint arXiv:1903.05124
Original
1903
Earlier work this paper cites.
M. J. Gullans and D. A. Huse, Dynamical purification phase transition induced by quantum measurements (2019), eprint arXiv:1905.05195
Original
1905
Earlier work this paper cites.
Y. Bao, S. Choi, and E. Altman, Theory of the Phase Transition in Random Unitary Circuits with Measurements (2019), eprint arXiv:1908.04305
Original
1908
Earlier work this paper cites.
C.-M. Jian, Y.-Z. You, R. Vasseur, and A. W. W. Ludwig, Measurement-induced criticality in random quantum circuits (2019), eprint arXiv:1908.08051
Original
1908
Earlier work this paper cites.
F. J. Wegner, Phase Transitions and Critical Phenomena
1976
Earlier work this paper cites.
K. Binder, Phase Transitions and Critical Phenomena
1983
Earlier work this paper cites.
J. L. Cardy, Conformal invariance and surface critical behavior , Nucl. Phys. B 240
1984
Earlier work this paper cites.
X. G. Wen and Q. Niu, Ground-state degeneracy of the fractional quantum hall states in the presence of a random potential and on high-genus riemann surfaces , Phys. Rev. B 41
1990
Earlier work this paper cites.
J. M. Deutsch, Quantum statistical mechanics in a closed system , Phys. Rev. A 43
1991
Earlier work this paper cites.
M. Srednicki, Chaos and quantum thermalization , Phys. Rev. E 50
1994
Earlier work this paper cites.
R. A. Monetti and E. V. Albano, Multiscaling behavior in the crossover between surface and bulk critical exponents for percolation in two dimensions , Phys. Rev. E 49
1994
Earlier work this paper cites.
B. Schumacher and M. A. Nielsen, Quantum data processing and error correction , Phys. Rev. A 54
1996
Earlier work this paper cites.
A. R. Calderbank and P. W. Shor, Good quantum error-correcting codes exist , Phys. Rev. A 54
1996
Earlier work this paper cites.

Similar

A. M. Steane, Multiple-particle interference and quantum error correction , Proc. R. Soc. Lond. A 452
1996
Cited alongside, same era.
D. Gottesman, The Heisenberg Representation of Quantum Computers (1998), eprint arXiv:quant-ph/9807006
1998
Cited alongside, same era.
M. B. Plenio and P. L. Knight, The quantum-jump approach to dissipative dynamics in quantum optics , Rev. Mod. Phys. 70
1998
Cited alongside, same era.
D. Aharonov, Quantum to classical phase transition in noisy quantum computers , Phys. Rev. A 62
2000
Cited alongside, same era.
R. Fan, S. Vijay, A. Vishwanath, and Y.-Z. You, Self-Organized Error Correction in Random Unitary Circuits with Measurement (2020), eprint arXiv:2002.12385
Original
2002
Cited alongside, same era.

Then

A. S. Holevo, Quantum Systems, Channels, Information (Walter de Gruyter GmbH, Berlin/Boston, 2012)
2012
Later among the works it cites.
R. Nandkishore and D. A. Huse, Many-body localization and thermalization in quantum statistical mechanics , Annu. Rev. Condens. Matter Phys. 6
2015
Later among the works it cites.
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics , Adv. Phys. 65
2016
Later among the works it cites.
Y. Li, X. Chen, and M. P. A. Fisher, Quantum zeno effect and the many-body entanglement transition , Phys. Rev. B 98
2018
Later among the works it cites.
R. Vasseur, A. C. Potter, Y.-Z. You, and A. W. W. Ludwig, Entanglement Transitions from Holographic Random Tensor Networks (2018), eprint arXiv:1807.07082
Original
2018

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

A. Y. Kitaev, Fault-tolerant quantum computation by anyons , Ann. Phys. 303

2003

Cited alongside, same era.

D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London/Philadelphia, 2003)

2003

Cited alongside, same era.

Y. Li, X. Chen, A. W. W. Ludwig, and M. P. A. Fisher, Conformal invariance and quantum non-locality in hybrid quantum circuits (2020), eprint arXiv:2003.12721

Original

2003

Cited alongside, same era.

S. Aaronson and D. Gottesman, Improved simulation of stabilizer circuits , Phys. Rev. A 70

2004

Cited alongside, same era.

M. Ippoliti, M. J. Gullans, S. Gopalakrishnan, D. A. Huse, and V. Khemani, Entanglement phase transitions in measurement-only dynamics (2020), eprint arXiv:2004.09560

Original

2004

Cited alongside, same era.

D. Gottesman, An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation (2009), eprint arXiv:0904.2557

Original

2009

Cited alongside, same era.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Quantum computers , Nature 464

2010

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Later among the works it cites.

J. Preskill, Quantum Computing in the NISQ era and beyond , Quantum 2

2018

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S. Boixo, S. V. Isakov, V. N. Smelyanskiy, R. Babbush, N. Ding, Z. Jiang, M. J. Bremner, J. M. Martinis, and H. Neven, Characterizing quantum supremacy in near-term devices , Nature Phys. 14

2018

Later among the works it cites.

B. Skinner, J. Ruhman, and A. Nahum, Measurement-induced phase transitions in the dynamics of entanglement , Phys. Rev. X 9

2019

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A. Chan, R. M. Nandkishore, M. Pretko, and G. Smith, Unitary-projective entanglement dynamics , Phys. Rev. B 99

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2020

Closest in time.