J. Tuziemski, J. Pawłowski, P. Tarasiuk, L. Pawela, B. Gardas, "Recent quantum runtime (dis)advantages", arXiv:2510.06337.
P. Hanussek, J. Pawłowski, Z. Mzaouali, B. Gardas, "Solving quantum-inspired dynamics on quantum and classical annealers", arXiv:2509.03952.
S. Sarkar, G. Wojtowicz, B. Gardas, M. Rams, and M. Zwolak, "Extended Reservoir Approaches to Quantum Transport: An Overview of Matrix Equations and Green’s Functions for Relaxation and Dephasing", J. Chem. Phys. 163, 114101 (2025). Download PDF.
J. Pawłowski, P. Tarasiuk, J. Tuziemski, L. Pawela, B. Gardas, "Closing the Quantum-Classical Scaling Gap in Approximate Optimization", arXiv:2505.22514.
J. Pawłowski, J. Tuziemski, P. Tarasiuk, A. Przybysz, R. Adamski, K. Hendzel, Ł. Pawela, B. Gardas, "VeloxQ: A Fast and Efficient QUBO Solver", arXiv:2501.19221.
R. Robertson, E. Doucet, Z. Mzaouali, K. Domino, B. Gardas, S. Deffner, "Simon’s Period Finding on a Quantum Annealer", arXiv:2504.10771.
A. M. Dziubyna, T. Smierzchalski, B. Gardas, M. M. Rams, and M. Mohseni, "Limitations of tensor network approaches for optimization and sampling: A comparison to quantum and classical Ising machines", Phys. Rev. Applied 23, 054049 (2025). Download PDF.
T. Smierzchalski, A. M. Dziubyna, K. Jałowiecki, Z. Mzaoualia, Ł. Pawela, B. Gardas, M. M. Rams, "SpinGlassPEPS.jl: Tensor-network package for Ising-like optimization on quasi-two-dimensional graphs", SoftwareX 31, 102257 (2025). Download PDF.
K. Domino, E. Doucet, R. Robertson, B. Gardas, S. Deffner, "On the Baltimore Light RailLink into the quantum future", Sci. Rep. 15, 29576 (2025). Download PDF.
T. Śmierzchalski, J. Pawłowski, A. Przybysz, Ł. Pawela, Z. Puchała, M. Koniorczyk, B. Gardas, S. Deffner, K. Domino, "Hybrid quantum-classical computation for automatic guided vehicles scheduling", Sci. Rep. 14, 21809 (2024). Download PDF.
K. El Hawary, M. Azzouz, M. El Baz, S. Deffner, B. Gardas, Z. Mzaouali, "Navigating the phase diagram of quantum many-body systems in phase space", Phys. Rev. E 110, 014120 (2024). Download PDF.
D. Tripathy, A. Touil, B. Gardas, and S. Deffner, "Quantum information scrambling in two-dimensional Bose-Hubbard lattices", Chaos 34, 043121 (2024). Download PDF.
T. Śmierzchalski, Z. Mzaouali, S. Deffner, B. Gardas, "Efficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance", Sci. Rep. 14, 4555 (2024) Download PDF.
R. Kukulski, M. Stępniak, K. Hendzel, Ł. Pawela, B. Gardas, Z. Puchała, "Local certification of unitary operations", Sci. Rep. 14, 26588 (2024). Download PDF.
M. Stępniak, K. Hendzel, Ł. Pawela, B. Gardas, Z. Puchała, "Local certification of unitary operations and von Neumann measurements", arXiv:2312.17037.
T. Śmiechrzalski, Ł. Pawela, B. Gardas, Z. Puchała, M. Koniorczyk, K Domino, "Quantum readiness for scheduling of Automatic Guided Vehicles (AGVs) as job-shop problem", arXiv:2309.03088.
K. Domino, M. Koniorczyk, K. Krawiec, K. Jałowiecki, S. Deffner, B. Gardas, "Quantum annealing in the NISQ era: railway conflict management", Entropy 2023, 25(2), 191. Download PDF.
A. Soriani, P. Naze, M. V. S. Bonanca, B. Gardas, and S. Deffner, "The three phases of quantum annealing: fast, slow, and very slow", Phys. Rev. A 105, 042423 (2022). Download PDF.
T. Śmierzchalski, L. Pawela, Z. Puchała, T. Trzciński, B. Gardas, "Post-Error Correction for Quantum Annealing Processor using Reinforcement Learning", Lecture Notes in Computer Science, ICCS 2022 pp 261–268 (2022). Download PDF.
A. Soriani, P. Naze, M. V. S. Bonanca, B. Gardas, and S. Deffner, "Assessing performance of quantum annealing with non-linear driving", Phys. Rev. A 105, 05244 (2022). Download PDF.
K. Jałowiecki, M. M. Rams, B. Gardas, "Brute-forcing spin-glass problems with CUDA", Comput. Phys. Commun. 260, 107728 (2021). Download PDF.
M. M. Rams, M. Mohseni, D. Eppens, K. Jałowiecki, B. Gardas, "Approximate optimization, sampling and spin-glass droplets discovery with tensor networks", Phys. Rev. E 104, 025308 (2021). Download PDF.
K. Jałowiecki, A. Więckowski, P. Gawron, B. Gardas, "Parallel in time dynamics with quantum annealers", Sci. Rep. 10, 13534 (2020). Download PDF.
K. Domino, M. Koniorczyk, K. Krawiec, K. Jałowiecki, B. Gardas, "Quantum computing approach to railway dispatching and conflict management optimization on single-track railway lines", arXiv:2010.08227 (2020).
A. Więckowski, S. Deffner, B. Gardas, "Disorder-assisted graph coloring on quantum annealers", Phys. Rev. A 100, 062304 (2019).
J. Czartowski, K. Szymański, B. Gardas, Y. Fyodorov, K. Życzkowski , "Separability gap and large deviation entanglement criterion", Phys. Rev. A 100, 042326 (2019).
M. M. Rams, M. Mohseni, B. Gardas, "Heuristic optimization and sampling with tensor networks for quasi-2D spin glass problems", arXiv:1811.06518v1 (2018).
B. Gardas, M. M. Rams, J. Dziarmaga, "Quantum neural networks to simulate many-body quantum systems", Phys. Rev. B 98, 184304 (2018).
B. Gardas, S. Deffner, "Quantum fluctuation theorem for error diagnostics in quantum annealers", Sci. Rep. 8, 17191 (2018).
B. Gardas, A. Ptok, "Counting defects in quantum computers with Graphics Processing Units", J. Comput. Phys. 366, 320-326 (2018) .
B. Gardas, J. Dziarmaga, W. H. Zurek, M. Zwolak, "Defects in Quantum Computers", Sci. Rep. 8, 4539 (2018). Download PDF.
B. Gardas, J. Dziarmaga, W. H. Zurek, "Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench", Phys. Rev. B 95, 104306 (2017).
B. Gardas, S. Deffner, A. Saxena, "PT -symmetric slowing down of decoherence", Phys. Rev. A 94, 040101(R) (2016).
B. Gardas, S. Deffner, A. Saxena, "Repeatability of measurements: Non-Hermitian observables and quantum Coriolis force", Phys. Rev. A 94, 022121 (2016).
B. Gardas, S. Deffner, A. Saxena, "Non-hermitian quantum thermodynamics", Sci. Rep. 6, 23408 (2016).
A. Francuz, J. Dziarmaga, B. Gardas, W. H. Zurek, "Space and time renormalization in phase transition dynamics", Phys. Rev. B 93, 075134 (2016).
B. Gardas, J. Łuczka, A. Ptok, J. Dajka, "Energetics of an rf SQUID Coupled to Two Thermal Reservoirs", PLoS One 10(12): e0143912 (2015).
M. Januszewski, A. Ptok, D. Crivelli, B. Gardas, "GPU-based acceleration of free energy calculations in solid state physics", Comput. Phys.Comm, 192, 220227 (2015).
B. Gardas, S. Deffner, "Thermodynamic universality of quantum Carnot engines", Phys. Rev. E 92, 042126 (2015).
B. Gardas, J. Dajka, "Reply to Comment on 'Initial states of qubit–environment models leading to conserved quantities", J. Phys. A: Math. Theor. 47, 168002 (2014).
B. Gardas, J. Dajka, "Reply to ``Comment on: ``Multi-photon Rabi model: Generalized parity and its applications''[Phys. Lett. A 377 (2013) 3205]” [Phys. Lett. A 378 (2014) 1969]'', Phys. Lett. A 378, 1970 (2014).
B. Gardas, J. Dajka, "New symmetry in the Rabi model", J. Phys. A: Math. Theor. 46, 265302 (2013).
B. Gardas, J. Dajka, "Initial states of qubit–environment models leading to conserved quantities", J. Phys. A: Math. Theor. 46, 235301 (2013).
J. Dajka, B. Gardas and J. Łuczka, "Relation Between Purity of an Open Qubit Dynamics and Its Initial Correlation with an Environment", Int. J. Theor. Phys. 52, 11481159 (2013).
B. Gardas, J. Dajka, "Multi-photon Rabi model: Generalized parity and its applications", Phys. Lett. A 377, 320508 (2013).
B. Gardas and Z. Puchała, "Notes on the Riccati operator equation in open quantum systems", J. Math. Phys. 53, 012106 (2012).
B. Gardas and Z. Puchała, "Stationary states of two-level open quantum systems", J. Phys. A: Math. Theor. 44, 215306 (2011).
B. Gardas, "Riccati equation and the problem of decoherence II: Symmetry and the solution of the Riccati equation", J. Math. Phys. 52, 042104 (2011).
B. Gardas, "Exact solution of the Schrödinger equation with the spin-boson Hamiltonian", J. Phys. A: Math. Theor. 44, 195301 (2011).
Z. Puchała, J.A. Miszczak, P. Gawron, B. Gardas, "Experimentally feasible measures of distance between quantum operations", Quantum Inf. Process. 10, 112 (2011).
B. Gardas, "Exact reduced dynamics for a qubit in a precessing magnetic field and in contact with a heat bath", Phys. Rev. A 82, 042115 (2010).
B. Gardas, "Riccati equation and the problem of decoherence", J. Math. Phys. 53, 012106 (2010).
K. Jałowiecki, B. Gardas, J. Dajka, M. Mierzejewski, Kwantowe wyżarzanie "klasycznej" optymalizacji, polish only, (2017).
B. Gardas, Riccati equation in studies of spin boson systems, PhD thesis (2014).
B. Gardas, Prawie czysta dekoherencja, M.Sc. thesis, polish only, (2009).