Built on

A. Bernamonti, F. Galli, J. Hernandez, R. C. Myers, S.-M. Ruan, and J. Simon, (2019), arXiv:1903.04511 [hep-th]
Original
1903
Earlier work this paper cites.
A. M. Polyakov, Phys. Lett. B103
1981
Earlier work this paper cites.
J. M. Maldacena, Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
E. Witten, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B428
1998
Earlier work this paper cites.
M. A. Nielsen, (2005), arXiv:quant-ph/0502070 [quant-ph]
2005
Earlier work this paper cites.
C. V. Johnson, D-branes , Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2005)
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
M. A. Nielsen, M. R. Dowling, M. Gu, and A. M. Doherty, Science 311
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, JHEP 07
Original
2007
Earlier work this paper cites.
M. A. Nielsen and M. R. Dowling, (2007), arXiv:quant-ph/0701004 [quant-ph]
2007
Earlier work this paper cites.
G. Vidal, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
G. Vidal, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
H. Casini, M. Huerta, and R. C. Myers, JHEP 05
Original
2011
Earlier work this paper cites.

Similar

M. Nozaki, S. Ryu, and T. Takayanagi, JHEP 10
Original
2012
Cited alongside, same era.
A. Lewkowycz and J. Maldacena, JHEP 08
Original
2013
Cited alongside, same era.
J. Haegeman, T. J. Osborne, H. Verschelde, and F. Verstraete, Phys. Rev. Lett. 110
Original
2013
Cited alongside, same era.
A. Mollabashi, M. Nozaki, S. Ryu, and T. Takayanagi, JHEP 03
Original
2014
Cited alongside, same era.
B. Freivogel, R. Jefferson, L. Kabir, B. Mosk, and I.-S. Yang, Phys. Rev. D91
Original
2015
Cited alongside, same era.

Then

S. Chapman, M. P. Heller, H. Marrochio, and F. Pastawski, Phys. Rev. Lett. 120
Original
2018
Later among the works it cites.
L. Hackl and R. C. Myers, JHEP 07
Original
2018
Later among the works it cites.
R. Khan, C. Krishnan, and S. Sharma, Phys. Rev. D98
Original
2018
Later among the works it cites.
M. Guo, J. Hernandez, R. C. Myers, and S.-M. Ruan, JHEP 10
Original
2018
Later among the works it cites.
A. Bhattacharyya, A. Shekar, and A. Sinha, JHEP 10
Original
2018
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2019

Path integral optimization as circuit complexity

Camargo, Hugo A., Heller, Michal P., Jefferson, Ro et al.

Understand

Early efforts to understand complexity in field theory have primarily employed a geometric approach based on the concept of circuit complexity in quantum information theory.

In a parallel vein, it has been proposed that certain deformations of the Euclidean path integral that prepares a given operator or state may provide an alternative definition, whose connection to the standard notion of complexity is less apparent.
In this letter, we bridge the gap between these two proposals in two-dimensional conformal field theories, by explicitly showing how the latter approach from path integral optimization may be given a concrete realization within the standard gate counting framework.
In particular, we show that when the background geometry is deformed by a Weyl rescaling, a judicious gate counting allows one to recover the Liouville action as a particular choice within a more general class of cost functions.

Built on

A. Bernamonti, F. Galli, J. Hernandez, R. C. Myers, S.-M. Ruan, and J. Simon, (2019), arXiv:1903.04511 [hep-th]
Original
1903
Earlier work this paper cites.
A. M. Polyakov, Phys. Lett. B103
1981
Earlier work this paper cites.
J. M. Maldacena, Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
E. Witten, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B428
1998
Earlier work this paper cites.
M. A. Nielsen, (2005), arXiv:quant-ph/0502070 [quant-ph]
2005
Earlier work this paper cites.
C. V. Johnson, D-branes , Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2005)
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
M. A. Nielsen, M. R. Dowling, M. Gu, and A. M. Doherty, Science 311
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani, and T. Takayanagi, JHEP 07
Original
2007
Earlier work this paper cites.
M. A. Nielsen and M. R. Dowling, (2007), arXiv:quant-ph/0701004 [quant-ph]
2007
Earlier work this paper cites.
G. Vidal, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
G. Vidal, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
H. Casini, M. Huerta, and R. C. Myers, JHEP 05
Original
2011
Earlier work this paper cites.