Papers and preprints

A chronological list of papers is available on the arXiv preprint server.

Quantum algorithms:

Is there evidence for exponential quantum advantage in quantum chemistry? 
S. Lee, et. al.

Tensor Networks:

A highly efficient tensor network algorithm for multi-asset Fourier options pricing
M Kastoryano, N Pancotti
Classical restrictions of generic matrix product states are quasi-locally Gibbsian
Y Aragonés-Soria, J Åberg, CY Park, MJ Kastoryano Journal of Mathematical Physics 62 (9), 093511.

Locality at the boundary imply gap in the bulk for 2D PEPS
Michael J. Kastoryano, Angelo Lucia and David Perez-Garcia
arXiv:1709.07691 (2017).

Quantum error correction:

The role of entropy in topological quantum error correction
Michael E. Beverland, Benjamin J. Brown, Michael J. Kastoryano, Quentin Marolleau,
arXiv:1812.05117 (2018).

Entanglement renormalization, quantum error correction, and bulk causality
Isaac H. Kim and Michael J. Kastoryano, JHEP 04 40,
arXiv:1701.00050 (2017)

Limits on the storage of quantum information in a volume of space
Steven T. Flammia, Jeongwan Haah, Michael J. Kastoryano, and Isaac H. Kim, Quantum 1, 4 (2017), arXiv:1610.06169 (2016)

Fault tolerant dynamical decoders for topological quantum memories
M. Herold, M. J. Kastoryano, E. T. Campbell, J. Eisert, New J. Phys., 19 063012 (2017), arXiv:1511.05579 (2015)

Cellular-automaton decoders for topological quantum memories
M. Herold, E. T. Campbell, J. Eisert, M. J. Kastoryano, npj Quant. Info. 1, 15010 (2015)
arXiv:1406.2338 (2014)

Many-body theory:

Learning Neural Network Quantum States with the Linear Method
JT Frank, MJ Kastoryano,
Complexity phase transitions in instantaneous quantum polynomial-time circuits
CY Park, MJ Kastoryano,
Expressive power of complex-valued restricted Boltzmann machines for solving non-stoquastic Hamiltonians. 
Chae-Yeun Park and Michael Kastoryano, Physical Review B 106 (13), 134437
Avoiding local minima in variational quantum eigensolvers with the natural gradient optimizer
D Wierichs, C Gogolin, M Kastoryano Physical Review Research 2 (4), 043246
Geometry of learning neural quantum states
CY Park, MJ Kastoryano Physical Review Research 2 (2), 023232

Divide and conquer method for proving gaps of frustration-free Hamiltonians
Angelo Lucia and Michael J. Kastoryano, J. Stat. Mech. (2018), 033105
arXiv:1705.09491 (2017)

Driven quantum dynamics: will it blend?
Leonardo Banchi, Daniel Burgarth, Michael J. Kastoryano, Phys. Rev. X (2017), 041015
arXiv:1704.03041 (2017)

Finite correlation length implies efficient preparation of quantum thermal states
Fernando G. S. L. Brandao and Michael J. Kastoryano, Comm. Math. Phys. (2016),1-16.
arXiv:1609.07877 (2016)

Emergence of spontaneous symmetry breaking in dissipative lattice systems
H. Wilming, M. J. Kastoryano, A. H. Werner, J. Eisert
J. Math. Phys. 58, 033302 (2017)
arXiv:1602.01108 (2016)

How fast do stabilizer Hamiltonians thermalize?
Kristan Temme, Michael J. Kastoryano
arXiv:1505.07811 (2015)

Quantum Gibbs Samplers: the commuting case
Michael J. Kastoryano, Fernando G. S. L. Brandao
Comm. Math. Phys. (2016), 344, 915-957
arXiv:1409.3435 (2014)

Rapid mixing implies exponential decay of correlations
Michael J. Kastoryano and Jens Eisert
J. Math. Phys. 54, 102201 (2013)
arXiv:1303.6304 (2013)

Mutual information area laws for thermal free fermions
Holger Bernigau, Michael J. Kastoryano, Jens Eisert
J. Stat. Mech. P02008 (2015)
arXiv:1301.5646 (2013)

Locality of temperature
M. Kliesch, C. Gogolin, M. J. Kastoryano, A. Riera, and J. Eisert
Phys. Rev. X 4, 031019 (2014)
arXiv:1309.0816 (2013)

Quantum Markov Chain Mixing:

Non-commutative Nash inequalities
Michael J. Kastoryano, Kristan Temme
J. Math. Phys. 57, 015217 (2016)
arXiv:1508.02522 (2015)

Quantum reverse hypercontractivity
Toby Cubitt, Michael Kastoryano, Ashley Montanaro, Kristan Temme
J. Math. Phys. 54, 102204 (2015)
arXiv:1504.06143 (2015)

Hypercontractivity of quasi-free quantum semigroups
K. Temme, F. Pastawski, and M. J. Kastoryano
J. Phys. A: Math. Theor. 47  405303 (2014)
arXiv:1403.5224 (2014)

Quantum logarithmic Sobolev inequalities and rapid mixing
Michael J. Kastoryano and Kristan Temme
J. Math. Phys. 54, 052202 (2013)

A Cutoff Phenomenon for Quantum Markov Chains
Michael J. Kastoryano, David Reeb, Michael M. Wolf
J. Phys. A: Math. Theor. 45, 075307 (2012)

Hilbert’s projective metric in quantum information theory
David Reeb, Michael J. Kastoryano, Michael M. Wolf
J. Math. Phys. 52, 082201 (2011)

The χ2-divergence and mixing times of quantum Markov processes
K. Temme, M. J. Kastoryano, M. B. Ruskai, M. M. Wolf, F. Verstraete
J. Math. Phys. 51, 122201 (2010)

Dissipative engineering:

Topological transport in the steady state of a quantum particle with dissipation
Michael J. Kastoryano and Mark Rudner
arXiv:1808.06963 (2018).

Precisely timing dissipative quantum information processing
Michael J. Kastoryano, Michael M. Wolf, Jens Eisert
Phys. Rev. Lett. 110, 110501 (2013)
And its accompanying Physics Viewpoint.

A dissipative quantum Church-Turing theorem
M. Kliesch, T. Barthel, C. Gogolin, M. Kastoryano, J. Eisert
Phys. Rev. Lett. 107, 120501 (2011)
And its accompanying Physics Viewpoint.

Dissipative preparation of entanglement in optical cavities
Michael J. Kastoryano, Florentin Reiter, Anders S. Sørensen
Phys. Rev. Lett. 106, 090502 (2011)

Driving two atoms in an optical cavity into an entangled steady state using engineered decay
Florentin Reiter, Michael J. Kastoryano, Anders S. Sørensen
New J. Phys. 14,, 053022 (2012)


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