2011

Can One Trust Quantum Simulators?

Hauke, Philipp, Cucchietti, Fernando M., Tagliacozzo, Luca et al.

Understand

Various fundamental phenomena of strongly-correlated quantum systems such as high-$T_c$ superconductivity, the fractional quantum-Hall effect, and quark confinement are still awaiting a universally accepted explanation.

The main obstacle is the computational complexity of solving even the most simplified theoretical models that are designed to capture the relevant quantum correlations of the many-body system of interest.
In his seminal 1982 paper [Int.
J.

Built on

Annals of Phys
Lieb, E., Schultz, T., and Mattis, D · 1961
Earlier work this paper cites.
Phys. Rev
Haeberlen, U. and Waugh, J. S · 1968
Earlier work this paper cites.
Phys. Rev. Lett
Griffiths, R · 1969
Earlier work this paper cites.
Commun. Math. Phys
Lieb, E. and Robinson, D · 1972
Earlier work this paper cites.
Physica A
Nightingale, M · 1975
Earlier work this paper cites.
Reports on Mathematical Physics
Uhlmann, A · 1976
Earlier work this paper cites.
Phys. Rev. B
Freedman, R. and Hertz, J. A · 1977
Earlier work this paper cites.
Int. J. Theor. Phys
Feynman, R. P · 1982
Earlier work this paper cites.
Phase Transitions and Critical Phenomena
Barber, M. N · 1983
Earlier work this paper cites.
Proc. R. Soc. Lond. A
Deutsch, D · 1985
Earlier work this paper cites.
Phys. Rev. B
Fisher, M. P., Weichmann, P. B., Grinstein, G., and Fisher, D. S · 1989
Earlier work this paper cites.
The theory of critical phenomena : an introduction to the renormalization group
Binney, J. J., Dowrick, N. J., Fisher, A. J., and Newman, M. E. J · 1992
Earlier work this paper cites.
Phys. Rev. Lett
Cirac, J., Lewenstein, M., and Zoller, P · 1994
Earlier work this paper cites.
Phys. Rev. A
Cirac, J., Lewenstein, M., and Zoller, P · 1994
Earlier work this paper cites.
Nucl. Phys. B
Holzhey, C., Larsen, F., and Wilczek, F · 1994
Earlier work this paper cites.
Phys. Rev. A
Shor, P. W · 1995
Earlier work this paper cites.
Phys. Rev. A
Cirac, J., Lewenstein, M., and Zoller, P · 1995
Earlier work this paper cites.
Phys. Rev. A
Lewenstein, M., Cirac, J., and Zoller, P · 1995
Earlier work this paper cites.
Phys. Lett. A
Landauer, R · 1996
Earlier work this paper cites.
Rev. Mod. Phys
Georges, A., Kotliar, G., Krauth, W., and Rozenberg, M · 1996
Earlier work this paper cites.
Scaling and Renormalization in Statistical Physics
Cardy, J · 1996
Earlier work this paper cites.
arXiv:quant-ph/9611029v1
Aharonov, D. and Ben-Or, M · 1996
Earlier work this paper cites.
J. Math. Phys
Levitov, L., Lee, H., and Lesovik, G · 1996
Earlier work this paper cites.
Phys. Rev. A
Knill, E. and Laflamme, R · 1997
Earlier work this paper cites.
Phys. Rev. Lett
Gardiner, C., Zoller, P., Ballagh, R., and Davis, M · 1997
Earlier work this paper cites.
Phys. Rev. A
Gardiner, C. and Zoller, P · 1997
Earlier work this paper cites.
Phys. Rev. A
Jaksch, D., Gardiner, C., and Zoller, P · 1997
Earlier work this paper cites.
Europhys. Lett
Morigi, G., Cirac, J. I., Lewenstein, M., and Zoller, P · 1997
Earlier work this paper cites.
Introduction to Quantum Computation
Preskill, J · 1998
Earlier work this paper cites.
Phys. Rev. Lett
Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W., and Zoller, P · 1998
Earlier work this paper cites.
Phys. Rev. Lett
Cory, D. G., Price, M. D., Maas, W., Knill, E., Laflamme, R., Zurek, W. H., Havel, T. F., and Somaroo, S. S · 1998
Earlier work this paper cites.
Phys. Rev. A
Gardiner, C. and Zoller, P · 1998
Earlier work this paper cites.
Phys. Rev. A
Jaksch, D., Gardiner, C., Gheri, K., and Zoller, P · 1998
Earlier work this paper cites.
Phys. Rev. Lett
Gardiner, C., Lee, M., Ballagh, R., Davis, M., and Zoller, P · 1998
Earlier work this paper cites.
Phys. Rev. Lett
Castin, Y., Cirac, J., and Lewenstein, M · 1998
Earlier work this paper cites.
Phys. Rev. Lett
Somaroo, S., Tseng, C. H., Havel, T. F., Laflamme, R., and Cory, D. G · 1999
Earlier work this paper cites.
Phys. Rev. A
Tseng, C. H., Somaroo, S., Sharf, Y., Knill, E., Laflamme, R., Havel, T. F., and Cory, D. G · 1999
Earlier work this paper cites.
Phys. Rev. Lett
Abrams, D. and Lloyd, S · 1999
Earlier work this paper cites.
Eur Phys. J. D
Santos, L. and Lewenstein, M · 1999
Earlier work this paper cites.
Appl. Phys. B
Santos, L. and Lewenstein, M · 1999
Earlier work this paper cites.
Fort. Phys
DiVincenzo, D. P · 2000
Earlier work this paper cites.
Quantum Computation and Quantum Information
Nielsen, M. A. and Chuang, I. L · 2000
Earlier work this paper cites.
Phys. Ref. E
Georgeot, B. and Shepelyansky, D. L · 2000
Earlier work this paper cites.
Phys. Rev. A
Gardiner, C. and Zoller, P · 2000
Earlier work this paper cites.
Rev. Mod. Phys
Makhlin, Y., Schön, G., and Shnirman, A · 2001
Earlier work this paper cites.
Phys. Rev. Lett
Greiner, M., Bloch, I., Mandel, O., Hänsch, T. W., and Esslinger, T · 2001
Earlier work this paper cites.
Phys. Rev. A
Idziaszek, Z., Santos, L., and Lewenstein, M · 2001
Earlier work this paper cites.
Appl. Phys. B
Mosk, A., Kraft, S., Mudrich, M., Singer, K., Wohlleben, W., Grimm, R., and Weidemüller, M · 2001
Earlier work this paper cites.
Phys. Rev. Lett
Wu, L. A., Byrd, M. S., and Lidar, D. A · 2002
Earlier work this paper cites.
Classical and Quantum Computation, Graduate Studies in Mathematics
Kitaev, A., Shen, A., and Vyalyi, M · 2002
Earlier work this paper cites.
Phys. Rev. A
Dodd, J., Nielsen, M., Bremner, M., and Thew, R · 2002
Earlier work this paper cites.
Quant. Inf. Comp
Wocjan, P., Roetteler, M., Janzing, D., and Beth, T · 2002
Earlier work this paper cites.
Phys. Rev. A
Papenbrock, T., Salgueiro, A., and Weidenmüller, H · 2002
Earlier work this paper cites.
Phys. Rev. A
Papenbrock, T., Salgueiro, A., and Weidenmüller, H · 2002
Earlier work this paper cites.
Phys. Rev. A
Wang, S., Nemes, M., Salgueiro, A., and Weidenmüller, H · 2002
Earlier work this paper cites.
Quant. Comp. Inf
Jane, E., Vidal, G., Dür, W., Zoller, P., and Cirac, J · 2003
Earlier work this paper cites.
In Proc. 35th STOC,
Aharonov, D. and Ta-Shma, A · 2003
Earlier work this paper cites.
J. Opt. B
Idziaszek, Z., Santos, L., Baranov, M., and Lewenstein, M · 2003
Earlier work this paper cites.
Phys. Rev. A
Idziaszek, Z., Santos, L., Baranov, M., and Lewenstein, M · 2003
Earlier work this paper cites.
Phys. Rev. Lett
Vidal, G., Latorre, J. I., Rico, E., and Kitaev, A · 2003
Earlier work this paper cites.
Phys. Rev. A
Harrow, A. and Nielsen, M · 2003
Earlier work this paper cites.

Similar

Phys. Rev. Lett
Vidal, G · 2003
Cited alongside, same era.
Quantum Noise in Mesoscopic Systems
Klich, I · 2003
Cited alongside, same era.
arXiv:cond-mat/0411174
Devoret, M., Wallraff, A., and Martinis, J · 2004
Cited alongside, same era.
J. Phys. A: Math. Gen
Dusuel, S. and Uhrig, G. S · 2004
Cited alongside, same era.
Electronic structure: Basic theory and practical methods
Martin, R · 2004
Cited alongside, same era.
Frustrated Spin Systems
Misguich, G. and Lhuillier, C · 2004
Cited alongside, same era.
Eur. Phys. J. D
Frahm, K. M., Fleckinger, R., and Shepelyansky, D. L · 2004
Cited alongside, same era.
Phys. Rev. Lett
Refael, G. and Moore, J · 2004
Cited alongside, same era.
J. Stat. Mech
Calabrese, P. and Cardy, J · 2004
Cited alongside, same era.
arXiv:cond-mat/0407066v1
Verstraete, F. and Cirac, J. I · 2004
Cited alongside, same era.
Physics Today
You, J. and Nori, F · 2005
Cited alongside, same era.
Eur. Phys. J. D
P. Zoller et al · 2005
Cited alongside, same era.

Then

arXiv:0905.0669
Original
Pineda, C., Barthel, T., and Eisert, J · 2009
Later among the works it cites.
Phys. Rev. B
Corboz, P. and Vidal, G · 2009
Later among the works it cites.
Phys. Rev. A
Barthel, T., Pineda, C., and Eisert, J · 2009
Later among the works it cites.
arXiv:0907.5520
Original
Shi, Q., Li, S., Zhao, J., and Zhou, H · 2009
Later among the works it cites.
Nat. Phys
Trotzky, S., Pollet, L., Gerbier, F., Schnorrberger, U., Bloch, I., Prokof’ev, N. V., Svistunov, B., and Troyer, M · 2010
Later among the works it cites.
Phys. Rev. Lett
Jördens, R., Tarruell, L., Greif, D., Uehlinger, T., Strohmaier, N., Moritz, H., Esslinger, T., Leo, L. D., Kollath, C., Georges, A., Scarola, V., Pollet, L., Burovski, E., Kozik, E., and Troyer, M · 2010
Later among the works it cites.
Nature Chemistry
Lanyon, B. P., Whitfield, J. D., Gillett, G. G., Goggin, M. E., Almeida, M. P., Kassal, I., Biamonte, J. D., Mohseni, M., Powell, B. J., Barbieri, M., Aspuru-Guzik, A., and White, A. G · 2010
Later among the works it cites.
Phys. Rev. Lett
Belgiorno, F., Cacciatori, S. L., Clerici, M., Gorini, V., Ortenzi, G., Rizzi, L., Rubino, E., Sala, V. G., and Faccio, D · 2010
Later among the works it cites.
Phys. Rev. A
Koch, J., Houck, A. A., Hur, K. L., and Girvin, S. M · 2010
Later among the works it cites.
Phys. Rev. Lett
Du, J., Xu, N., Peng, X., Wang, P., Wu, S., and Lu, D · 2010
Later among the works it cites.
Phys. Rev. Lett
Álvarez, G. and Suter, D · 2010
Later among the works it cites.
arXiv:1008.0701v1 [quant-ph]
Original
Pritchett, E. J., Benjamin, C., Galiautdinov, A., Geller, M. R., Sornborger, A. T., Stancil, P. C., and Martinis, J. M · 2010
Later among the works it cites.
Phil. Trans. R. Soc. A
Kendon, V., Nemoto, K., and Munro, W · 2010
Later among the works it cites.
AIP Conf. Proc
Sandvik, A · 2010
Later among the works it cites.
Rev. Mod. Phys
Eisert, J., Cramer, M., and Plenio, M. B · 2010
Later among the works it cites.
Nat. Phys
Weimer, H., Müller, M., Lesanovsky, I., Zoller, P., and Büchler, H. P · 2010
Later among the works it cites.
Nature Photonics
Lassen, M., Sabuncu, M., Huck, A., Niset, J., Leuchs, G., Cerf, N. J., and Andersen, U. L · 2010
Later among the works it cites.
Phys. Rev. Lett
Cucchietti, F. M., Zhang, J.-F., Lombardo, F. C., Villar, P. I., and Laflamme, R · 2010
Later among the works it cites.
New J. Phys
Augusiak, R., Cucchietti, F. M., Haake, F., and Lewenstein, M · 2010
Later among the works it cites.
Nat. Phys
Sanchez-Palencia, L. and Lewenstein, M · 2010
Later among the works it cites.
http://www-thphys.physics.ox.ac.uk/people/JohnCardy/seminars/statphys24.pdf
Cardy, J · 2010
Later among the works it cites.
Phys. Rev. B
Corboz, P., Orús, R., Bauer, B., and Vidal, G · 2010
Later among the works it cites.
Phys. Rev. Lett
Aidelsburger, M., Atala, M., Nascimbène, S., Trotzky, S., Chen, Y.-A., and Bloch, I · 2011
Closest in time.
Nature Communications
Islam, R., Edwards, E., Kim, K., Korenblit, S., Noh, C., Carmichael, H., Lin, G.-D., Duan, L.-M., Wang, C.-C. J., Freericks, J., and Monroe, C · 2011
Closest in time.
Phys. Rev. Lett
Gerritsma, R., Lanyon, B., Kirchmair, G., Zähringer, F., Hempel, C., Casanova, J., García-Ripoll, J. J., Solano, E., Blatt, R., and Roos, C. F · 2011
Closest in time.
arXiv:1105.5334
Original
Kitagawa, T., Broome, M., Fedrizzi, A., Rudner, M., Berg, E., Kassal, I., Aspuru-Guzik, A., Demler, E., and White, A. G · 2011
Closest in time.
Nat. Phys
Ma, X., Dakic, B., Naylor, W., Zeilinger, A., and Walther, P · 2011
Closest in time.
Scientific Reports
Li, Z., Yung, M.-H., Chen, H., Lu, D., Whitfield, J. D., Peng, X., Aspuru-Guzik, A., and Du, J · 2011
Closest in time.
Phys. Rev. Lett
Lu, D., Xu, N., Xu, R., Chen, H., Gong, J., Peng, X., and Du, J · 2011
Closest in time.
private communication
Hadzibabic, Z · 2011
Closest in time.
Annals of Physics
Schollwöck, U · 2011
Closest in time.
J. Stat. Mech
Alba, V., Tagliacozzo, L., and Calabrese, P · 2011
Closest in time.
arXiv:1109.5334v1 [quant-ph]
Original
Evenbly, G. and Vidal, G · 2011
Closest in time.
Annual Review of Condensed Matter Physics
Stoudenmire, E. and White, S · 2011
Closest in time.
Phys. Rev. B
Tagliacozzo, L. and Vidal, G · 2011
Closest in time.
Phys. Rev. B
Corboz, P., White, S., Vidal, G., and Troyer, M · 2011
Closest in time.
arXiv:1112.3331v2 [cond-mat.str-el]
Original
Wang, L., Gu, Z., Wen, X., and Verstraete, F · 2011
Closest in time.
arXiv:1107.2394v2 [cond-mat.str-el]
Original
Stoudenmire, E., Wagner, L. O., White, S. R., and Burke, K · 2011
Closest in time.
J. Phys. A: Math. Theor
Wiebe, N., Berry, D., Hoyer, P., and Sanders, B · 2011
Closest in time.
arXiv:1111.3633v2
Original
Jordan, S. P., Lee, K. S., and Preskill, J · 2011
Closest in time.
arXiv:1112.4833v1
Original
Jordan, S. P., Lee, K. S., and Preskill, J · 2011
Closest in time.
Theory of Quantum Computation, Communication, and Cryptography (TQC 2010), Lecture Notes in Computer Science
Childs, A. and Kothari, R · 2011
Closest in time.
arXiv:1104.1410 [quant-ph]
Original
Schwarz, M., Temme, K., and Verstraete, F · 2011
Closest in time.
New J. Phys
Dutta, O., Eckardt, A., Hauke, P., Malomed, B., and Lewenstein, M · 2011
Closest in time.
arXiv:1106.1683v3 [quant-ph]
Original
Mostame, S., Rebentrost, P., Eisfeld, A., Kerman, A. J., Tsomokos, D. I., and Aspuru-Guzik, A · 2011
Closest in time.
J. Stat. Phys
Evenbly, G. and Vidal, G · 2011
Closest in time.
http://people.sissa.it/ sorella/Simulazioni.pdf
Sorella, S. and Becca, F · 2011
Closest in time.
Ultracold Atoms in Optical Lattices: Simulating Quantum Many-Body Systems
Lewenstein, M., Sanpera, A., and Ahufinger, V · 2012
Closest in time.
Nat. Phys
Van Houcke, K., Werner, F., Kozik, E., Prokof’ev, N., Svistunov, B., Ku, M. J. H., Sommer, A. T., Cheuk, L. W., Schirotzek, A., and Zwierlein, M. W · 2012
Closest in time.
Nat. Phys
Trotzky, S., Chen, Y.-A., Flesch, A., McCulloch, I. P., Schollwöck, U., Eisert, J., and Bloch, I · 2012
Closest in time.
Phys. Rev. Lett
Jimínez-García, K., LeBlanc, L. J., Williams, R. A., Beeler, M. C., Perry, A. R., and Spielman, I. B · 2012
Closest in time.
Nat. Phys
Bloch, I., Dalibard, J., and Nascimbène, S · 2012
Closest in time.
arXiv:1203.6595v1 [quant-ph]
Original
Müller, M., Diehl, S., Pupillo, G., and Zoller, P · 2012
Closest in time.
Rep. Prog. Phys
Schneider, C., Porras, D., and Schaetz, T · 2012
Closest in time.
Nat. Phys
Blatt, R. and Roos, C. F · 2012
Closest in time.
Nat. Phys
Aspuru-Guzik, A. and Walther, P · 2012
Closest in time.
in preparation
D.G. Angelakis et al · 2012
Closest in time.
Nat. Phys
Cirac, J. I. and Zoller, P · 2012
Closest in time.
Nat. Phys
Houck, A. A., Türeci, H. E., and Koch, J · 2012
Closest in time.
Phys. Rev. Lett
Sowiński, T., Dutta, O., Hauke, P., Tagliacozzo, L., and Lewenstein, M · 2012
Closest in time.
arXiv:1202.6337v2 [quant-ph]
Original
Zuniga-Hansen, N., Chi, Y.-C., and Byrd, M. S · 2012
Closest in time.

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…