Quantum State Design and Emergent Confinement Mechanism in Measured Tensor Network States

C. E. Porter and R. G. Thomas, Fluctuations of nuclear reaction widths, Phys. Rev. 104

1956

Earlier work this paper cites.

K. G. Wilson, Confinement of quarks, Phys. Rev. D 10

1974

Earlier work this paper cites.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Quantum cryptography, Rev. Mod. Phys. 74

2002

Earlier work this paper cites.

J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac, Classical simulation of infinite-size quantum lattice systems in two spatial dimensions, Phys. Rev. Lett. 101

2004

Earlier work this paper cites.

D. Gross, K. Audenaert, and J. Eisert, Evenly distributed unitaries: On the structure of unitary designs, Journal of Mathematical Physics 48

2007

Earlier work this paper cites.

A. W. Harrow and R. A. Low, Random quantum circuits are approximate 2-designs, Communications in Mathematical Physics 291

2009

Earlier work this paper cites.

C. Gattringer and C. B. Lang, Quantum Chromodynamics on the Lattice: An Introductory Presentation (Springer Berlin Heidelberg, 2010)

2010

Earlier work this paper cites.

S. Garnerone, T. R. de Oliveira, and P. Zanardi, Typicality in random matrix product states, Phys. Rev. A 81

2010

Earlier work this paper cites.

U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326

2011

Earlier work this paper cites.

F. G. S. L. Brandão, A. W. Harrow, and M. Horodecki, Local random quantum circuits are approximate polynomial-designs, Communications in Mathematical Physics 346

2016

Earlier work this paper cites.

P. Hayden, S. Nezami, X.-L. Qi, N. Thomas, M. Walter, and Z. Yang, Holographic duality from random tensor networks, Journal of High Energy Physics 2016

2016

Earlier work this paper cites.

M. Kormos, M. Collura, G. Takács, and P. Calabrese, Real-time confinement following a quantum quench to a non-integrable model, Nature Physics 13

2016

Earlier work this paper cites.

D. A. Roberts and B. Yoshida, Chaos and complexity by design, Journal of High Energy Physics 2017

2017

Earlier work this paper cites.

A. Nahum, J. Ruhman, S. Vijay, and J. Haah, Quantum Entanglement Growth under Random Unitary Dynamics, Phys. Rev. X 7

2017

Earlier work this paper cites.

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

2018

Earlier work this paper cites.

A. Nahum, S. Vijay, and J. Haah, Operator Spreading in Random Unitary Circuits, Phys. Rev. X 8

2018

Earlier work this paper cites.

F. Arute and et. al

2019

Earlier work this paper cites.

R. Orús, Tensor networks for complex quantum systems, Nature Reviews Physics 1

2019

Earlier work this paper cites.

R. Vasseur, A. C. Potter, Y.-Z. You, and A. W. W. Ludwig, Entanglement transitions from holographic random tensor networks, Phys. Rev. B 100

2019

Earlier work this paper cites.

T. Zhou and A. Nahum, Emergent statistical mechanics of entanglement in random unitary circuits, Phys. Rev. B 99

2019

Earlier work this paper cites.

F. M. Surace, P. P. Mazza, G. Giudici, A. Lerose, A. Gambassi, and M. Dalmonte, Lattice gauge theories and string dynamics in rydberg atom quantum simulators, Phys. Rev. X 10

2020

Earlier work this paper cites.

T. Zhou and A. Nahum, Entanglement membrane in chaotic many-body systems, Phys. Rev. X 10

2020

Earlier work this paper cites.

M. P. Zaletel and F. Pollmann, Isometric tensor network states in two dimensions, Phys. Rev. Lett. 124

2020

Cited alongside, same era.

A. Jahn and J. Eisert, Holographic tensor network models and quantum error correction: a topical review, Quantum Science and Technology 6

2021

Cited alongside, same era.

F. G. Brandão, W. Chemissany, N. Hunter-Jones, R. Kueng, and J. Preskill, Models of quantum complexity growth, PRX Quantum 2

2021

Cited alongside, same era.

J. Haferkamp, C. Bertoni, I. Roth, and J. Eisert, PRX Quantum 2

2021

Cited alongside, same era.

L. Piroli, G. Styliaris, and J. I. Cirac, Phys. Rev. Lett. 127

2021

Cited alongside, same era.

P. W. Claeys and A. Lamacraft, Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics, Quantum 6

A. L. Shaw, D. K. Mark, J. Choi, R. Finkelstein, P. Scholl, S. Choi, and M. Endres, Universal fluctuations and noise learning from hilbert-space ergodicity (2024), arXiv:2403.11971 [quant-ph]

Original

2024

Later among the works it cites.

A. Chan and A. De Luca, Projected state ensemble of a generic model of many-body quantum chaos, Journal of Physics A: Mathematical and Theoretical 57

2024

Later among the works it cites.

Z. Cheng, X. Feng, and M. Ippoliti, Pseudoentanglement from tensor networks (2024), arXiv:2410.02758 [quant-ph]

Original

2024

Later among the works it cites.

D. Malz, G. Styliaris, Z.-Y. Wei, and J. I. Cirac, Phys. Rev. Lett. 132

2024

Later among the works it cites.

E. H. Chen, G.-Y. Zhu, R. Verresen, A. Seif, E. Bäumer, D. Layden, N. Tantivasadakarn, G. Zhu, S. Sheldon, A. Vishwanath, S. Trebst, and A. Kandala, Nishimori transition across the error threshold for constant-depth quantum circuits, Nature Physics 21