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G. De las Cuevas, N. Schuch, D. Pérez-García, and J. Ignacio Cirac, New J. Phys., 15
Original
1914
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, Commun. Math. Phys., 144
1992
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S. R. White, Phys. Rev. Lett., 69
1992
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A. Pal and D. A. Huse, Phys. Rev. B, 82
Original
1992
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B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo, J. Math. Phys., 43
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M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2002) ISBN 9781107002173
2002
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F. Verstraete and J. I. Cirac, arXiv:cond-mat/0407066 (2004) , arXiv:0407066 [cond-mat]
2004
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G. Vidal, Phys. Rev. Lett., 93
2004
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A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech. Theory Exp., 2004
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S. R. White and A. E. Feiguin, Phys. Rev. Lett., 93
2004
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M. Zwolak and G. Vidal, Phys. Rev. Lett., 93
2004
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F. Verstraete, J. J. García-Ripoll, and J. I. Cirac, Phys. Rev. Lett., 93
2004
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I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov, Phys. Rev. Lett., 95
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M. B. Hastings, Phys. Rev. B, 73
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D. M. Basko, I. L. Aleiner, and B. L. Altshuler, Ann. Phys. (N. Y)., 321
2006
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N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett., 100
Original
2008
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M. Žnidarič, T. Prosen, and P. Prelovšek, Phys. Rev. B, 77
Original
2008
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S. R. White, Phys. Rev. Lett., 102
Original
2009
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T. Barthel, U. Schollwöck, and S. R. White, Phys. Rev. B, 79
Original
2009
Earlier work this paper cites.

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2017

Finding purifications with minimal entanglement

Hauschild, Johannes, Leviatan, Eyal, Bardarson, Jens H. et al.

Understand

Purification is a tool that allows to represent mixed quantum states as pure states on enlarged Hilbert spaces.

A purification of a given state is not unique and its entanglement strongly depends on the particular choice made.
Moreover, in one-dimensional systems, the amount of entanglement is linked to how efficiently the purified state can be represented using matrix-product states (MPS).
We introduce an MPS based method that allows to find the minimally entangled representation by iteratively minimizing the second Renyi entropy.

Built on

G. De las Cuevas, N. Schuch, D. Pérez-García, and J. Ignacio Cirac, New J. Phys., 15
Original
1914
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, Commun. Math. Phys., 144
1992
Earlier work this paper cites.
S. R. White, Phys. Rev. Lett., 69
1992
Earlier work this paper cites.
A. Pal and D. A. Huse, Phys. Rev. B, 82
Original
1992
Earlier work this paper cites.
B. M. Terhal, M. Horodecki, D. W. Leung, and D. P. DiVincenzo, J. Math. Phys., 43
2002
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2002) ISBN 9781107002173
2002
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, arXiv:cond-mat/0407066 (2004) , arXiv:0407066 [cond-mat]
2004
Earlier work this paper cites.
G. Vidal, Phys. Rev. Lett., 93
2004
Earlier work this paper cites.
A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech. Theory Exp., 2004
2004
Earlier work this paper cites.
S. R. White and A. E. Feiguin, Phys. Rev. Lett., 93
2004
Earlier work this paper cites.
M. Zwolak and G. Vidal, Phys. Rev. Lett., 93
2004
Earlier work this paper cites.
F. Verstraete, J. J. García-Ripoll, and J. I. Cirac, Phys. Rev. Lett., 93
2004
Earlier work this paper cites.
I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov, Phys. Rev. Lett., 95
2005
Earlier work this paper cites.
M. B. Hastings, Phys. Rev. B, 73
2006
Earlier work this paper cites.
D. M. Basko, I. L. Aleiner, and B. L. Altshuler, Ann. Phys. (N. Y)., 321
2006
Earlier work this paper cites.
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett., 100
Original
2008
Earlier work this paper cites.
M. Žnidarič, T. Prosen, and P. Prelovšek, Phys. Rev. B, 77
Original
2008
Earlier work this paper cites.
S. R. White, Phys. Rev. Lett., 102
Original
2009
Earlier work this paper cites.
T. Barthel, U. Schollwöck, and S. R. White, Phys. Rev. B, 79
Original
2009
Earlier work this paper cites.