Built on

J. Kondo, “Resistance minimum in Dilute Magnetic Alloys,” Prog. Theor. Phys. 32
1964
Earlier work this paper cites.
G. Toulouse, “Infinite-U Anderson Hamiltonian for Dilute Alloys,” Phys. Rev. B 2
1970
Earlier work this paper cites.
J. L. Cardy, “Boundary Conditions, Fusion Rules and the Verlinde Formula,” Nucl. Phys. B 324
1989
Earlier work this paper cites.
I. Affleck and A. W. W. Ludwig, “Universal noninteger ’ground state degeneracy’ in critical quantum systems,” Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
V. J. Emery and S. Kivelson, “Mapping of the two-channel Kondo problem to a resonant-level model,” Phys. Rev. B 46
1992
Earlier work this paper cites.
A. W. W. Ludwig, “Field theory approach to critical quantum impurity problems and applications to the multichannel Kondo effect,” Int. J. Mod. Phys. B 8
1994
Earlier work this paper cites.
I. Affleck, “Conformal field theory approach to the Kondo effect,” Acta Phys. Polon. B 26
1995
Earlier work this paper cites.
M. Nielsen and I. Chuang, Quantum Information and Quantum Computation
2000
Earlier work this paper cites.

Similar

J. Polchinski, “String Theory,” volumes 1 and 2, Cambridge University Press, 2003, Cambridge, UK
2003
Cited alongside, same era.
D. Friedan and A. Konechny, “On the boundary entropy of one-dimensional quantum systems at low temperature,” Phys. Rev. Lett. 93
2004
Cited alongside, same era.
E. Sorensen, M. Chang, N. Laflorencie, I. Affleck, “Quantum impurity entanglement,” J. Stat. Mech. (2007) P08003. [cond-mat/0703037]
2007
Cited alongside, same era.
T. Azeyanagi, A. Karch, T. Takayanagi and E. G. Thompson, “Holographic calculation of boundary entropy,” JHEP 0803
Original
2008
Cited alongside, same era.
See for example M. Wolf, F. Verstraete, M. Hastings, J. Chirac, “Area laws in quantum systems: mutual information and correlations,” Phys. Rev. Lett. 100, 070502 (2008), arXiv:0704.3906 [quant-ph]
Original
2008

Then

M. Fujita, T. Takayanagi and E. Tonni, “Aspects of AdS/BCFT,” JHEP 1111
Original
2011
Later among the works it cites.
M. Nozaki, T. Takayanagi and T. Ugajin, “Central Charges for BCFTs and Holography,” JHEP 1206
Original
2012
Later among the works it cites.
K. Jensen and A. O’Bannon, “Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects,” Phys. Rev. D 88
Original
2013
Later among the works it cites.
J. Cardy, “Some results on the mutual information of disjoint regions in higher dimensions,” J. Phys. A 46
Original
2013
Later among the works it cites.
J. Estes, K. Jensen, A. O’Bannon, E. Tsatis and T. Wrase, “On Holographic Defect Entropy,” JHEP 1405

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2016

The g-theorem and quantum information theory

Casini, Horacio, Landea, Ignacio Salazar, Torroba, Gonzalo

Understand

We study boundary renormalization group flows between boundary conformal field theories in $1+1$ dimensions using methods of quantum information theory.

We define an entropic $g$-function for theories with impurities in terms of the relative entanglement entropy, and we prove that this $g$-function decreases along boundary renormalization group flows.
This entropic $g$-theorem is valid at zero temperature, and is independent from the $g$-theorem based on the thermal partition function.
We also discuss the mutual information in boundary RG flows, and how it encodes the correlations between the impurity and bulk degrees of freedom.

Built on

J. Kondo, “Resistance minimum in Dilute Magnetic Alloys,” Prog. Theor. Phys. 32
1964
Earlier work this paper cites.
G. Toulouse, “Infinite-U Anderson Hamiltonian for Dilute Alloys,” Phys. Rev. B 2
1970
Earlier work this paper cites.
J. L. Cardy, “Boundary Conditions, Fusion Rules and the Verlinde Formula,” Nucl. Phys. B 324
1989
Earlier work this paper cites.
I. Affleck and A. W. W. Ludwig, “Universal noninteger ’ground state degeneracy’ in critical quantum systems,” Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
V. J. Emery and S. Kivelson, “Mapping of the two-channel Kondo problem to a resonant-level model,” Phys. Rev. B 46
1992
Earlier work this paper cites.
A. W. W. Ludwig, “Field theory approach to critical quantum impurity problems and applications to the multichannel Kondo effect,” Int. J. Mod. Phys. B 8
1994
Earlier work this paper cites.
I. Affleck, “Conformal field theory approach to the Kondo effect,” Acta Phys. Polon. B 26
1995
Earlier work this paper cites.
M. Nielsen and I. Chuang, Quantum Information and Quantum Computation
2000
Earlier work this paper cites.

Similar

J. Polchinski, “String Theory,” volumes 1 and 2, Cambridge University Press, 2003, Cambridge, UK
2003
Cited alongside, same era.
D. Friedan and A. Konechny, “On the boundary entropy of one-dimensional quantum systems at low temperature,” Phys. Rev. Lett. 93
2004
Cited alongside, same era.
E. Sorensen, M. Chang, N. Laflorencie, I. Affleck, “Quantum impurity entanglement,” J. Stat. Mech. (2007) P08003. [cond-mat/0703037]
2007
Cited alongside, same era.
T. Azeyanagi, A. Karch, T. Takayanagi and E. G. Thompson, “Holographic calculation of boundary entropy,” JHEP 0803
Original
2008
Cited alongside, same era.
See for example M. Wolf, F. Verstraete, M. Hastings, J. Chirac, “Area laws in quantum systems: mutual information and correlations,” Phys. Rev. Lett. 100, 070502 (2008), arXiv:0704.3906 [quant-ph]
Original
2008