Group publications

2018

M. J. Kastoryano and M. S. Rudner, Topological transport in the steady state of a quantum particle with dissipation , arxiv:1808.06963
Markus S. Kesselring, Fernando Pastawski, Jens Eisert, Benjamin J. Brown, The boundaries and twist defects of the color code and their applications to topological quantum computation , arxiv:1806.02820
C. Cedzich, T. Geib, A. H. Werner, R. F. Werner, Quantum walks in external gauge fields , arxiv:1808.10850
C. Cedzich, T. Geib, C. Stahl, L. Velazquez, A. H. Werner, R. F. Werner, Complete homotopy invariants for translation invariant symmetric quantum walks on a chain , arxiv:1804.04520
Angela Capel, Angelo Lucia, David Perez-Garcia, Quantum conditional relative entropy and quasi-factorization of the relative entropy , arxiv:1804.09525

M. J. Kastoryano, A. Lucia, Divide and conquer method for proving gaps of frustration free Hamiltonians ,
J. Stat. Mech.: Th. Exp., 2018.3 (2018): 033105, arxiv:1705.09491

M. J. Kastoryano, A. Lucia, D. Perez-Garcia, Locality at the boundary implies gap in the bulk for 2D PEPS , arxiv:1709.07691
N. H. Nickerson, B. J. Brown, Analysing correlated noise on the surface code using adaptive decoding algorithms , arxiv:1712.00502

L. Banchi, D. Burgarth, M. J. Kastoryano, Driven quantum dynamics: will it blend? ,
Phys. Rev. X 7, 041015 (2017), arxiv:1704.03041
I. H. Kim, M. J. Kastoryano, Entanglement renormalization, quantum error correction, and bulk causality , JHEP 04 (2017) 40, arXiv:1706.01373
S. T. Flammia, J. Haah, M. J. Kastoryano, I. H. Kim, Limits on the storage of quantum information in a volume of space , New J. Phys. 19, 063012 (2017) , arxiv:1610.06169
H. Wilming, M. J. Kastoryano, A. H. Werner, J. Eisert, Emergence of spontaneous symmetry breaking in dissipative lattice systems, J. Math. Phys. 58, 033302 (2017), arXiv:1602.01108
M. Herold, M. J. Kastoryano, E. T. Campbell, J. Eisert, Cellular automaton decoders of topological quantum memories in the fault tolerant setting,New J. Phys. 19, 063012 (2017), arXiv:1511.05579
A. Capel, A. Lucia, D. Perez-Garcia, Superadditivity of quantum relative entropy for general states , IEEE Transactions on Information Theory (2017), arxiv:1705.03521
E. Onorati, O. Buerschaper, M. Kliesch, W. Brown, A. H. Werner, J. Eisert, Mixing properties of stochastic quantum Hamiltonians,Commun. Math. Phys. 355, 905 (2017), arXiv:1606.01914
B. J. Brown, K. Laubscher, M. S. Kesselring, J. R. Wootton, Poking holes and cutting corners to achieve Clifford gates with the surface code,Phys. Rev. X 7, 021029 (2017), arXiv:1609.04673

F. G. S. L. Brandao, M. J. Kastoryano, Finite correlation length implies efficient preparation of quantum thermal states , arxiv:1609.07877
C. Cedzich, T. Geib, F. A. Gruenbaum, C. Stahl, L. Velazquez, A. H. Werner, R. F. Werner, The topological classification of one-dimensional symmetric quantum walks , arxiv:1611.04439
Y. Seis, J. F. Goodwin, B. J. Brown, T. Rudolph, Large-scale error-correction protocols using global operations in ion traps , arxiv:1606.00056

M. J. Kastoryano, K. Temme, Non-commutative Nash inequalities , J. Math. Phys. 57, 015217 (2016), arXiv:1508.02522
M. J. Kastoryano, F. G. S. L. Brandao, Quantum Gibbs Samplers: the commuting case, Comm. Math. Phys. (2016), 344, 915-957, arXiv:1409.3435
B. J. Brown, N. H. Nickerson, Dan E. Browne, Fault-tolerant error correction with the gauge color code, Nat. Comm. 7, 12302 (2016), arXiv:1503.08217
B. J. Brown, D. Loss, J. K. Pachos, C. N. Self, J. R. Wootton, Quantum memories at finite temperature, Rev. Mod. Phys. 88, 045005 (2016), arXiv:1411.6643

K. Temme and M. J. Kastoryano, How fast do stabilizer Hamiltonians thermalize? , arxiv:1505.07811

T. Cubitt, M. Kastoryano, A. Montanaro, K. Temme, Quantum reverse hypercontractivity, J. Math. Phys. 56, 102204 (2015), arXiv:1504.06143
M. Herold, E. T. Campbell, J. Eisert, M. J. Kastoryano, Cellular-automaton decoders for topological quantum memories, npj Quant. Inf. 1, 15010 (2015), arXiv:1406.2338
H. Bernigau, M. J. Kastoryano, J. Eisert, Mutual information area laws for thermal free fermions, J. Stat. Mech. P02008 (2015), arXiv:1301.5646

K. Temme, F. Pastawski, M. J. Kastoryano, Hypercontractivity of quasi-free quantum semigroups, J. Phys. A: Math. Theor. 47 (2014) 405303, arXiv:1403.5224
M. Kliesch, C. Gogolin, M. J. Kastoryano, A. Riera, J. Eisert, Locality of temperature, Phys. Rev. X 4, 031019 (2014), arXiv:1309.0816

M. J. Kastoryano and J. Eisert, Rapid mixing implies exponential decay of correlations, J. Math. Phys. 54, 102201 (2013), arXiv:1303.6304
M. J. Kastoryano and K. Temme, Quantum logarithmic Sobolev inequalities and rapid mixing, J. Math. Phys. 54, 052202 (2013), arXiv:1207.3261
M. J. Kastoryano, M. M. Wolf, J. Eisert, Precisely timing dissipative quantum information processing, Phys. Rev. Lett. 110, 110501 (2013), arXiv:1205.0985

M. J. Kastoryano, D. Reeb, M. M. Wolfe, A Cutoff Phenomenon for Quantum Markov Chains, J. Phys. A: Math. Theor. 45 (2012) 075307, arXiv:1111.2123
F. Reiter, M. J. Kastoryano, A. S. S�rensen, Driving two atoms in an optical cavity into an entangled steady state using engineered decay, New J. Phys. 14, 053022 (2012), arXiv:1110.1024

M. Kliesch, T. Barthel, C. Gogolin, M. Kastoryano, J. Eisert, A dissipative quantum Church-Turing theorem, Phys. Rev. Lett. 107, 120501 (2011), arXiv:1105.3986
D. Reeb, M. J. Kastoryano, M. M. Wolf, Hilbert's projective metric in quantum information theory, J. Math. Phys. 52, 082201 (2011), arXiv:1102.5170
M. J. Kastoryano, F. Reiter, A. S. S�rensen, Dissipative preparation of entanglement in optical cavities, Phys. Rev. Lett. 106, 090502 (2011), arXiv:1011.1441

K. Temme, M. J. Kastoryano, M. B. Ruskai, M. M. Wolf, F. Verstraete, The ?2 - divergence and Mixing times of quantum Markov processes, J. Math. Phys. 51, 122201 (2010), arXiv:1005.2358