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arxiv: 2512.00782 · v3 · submitted 2025-11-30 · 🪐 quant-ph

Optimal Control of thermally noisy quantum gates in a multilevel system

Aviv Aroch , Shimshon Kallush , Ronnie Kosloff This is my paper

Pith reviewed 2026-05-17 03:13 UTC · model grok-4.3

classification 🪐 quant-ph
keywords optimal control theoryquantum gatesthermal noiseMarkovian dissipationopen quantum systemsentropy modificationmultilevel systems
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The pith

Optimal control theory designs quantum gates that actively cool or heat systems while preserving high fidelity under thermal noise.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper applies optimal control theory to open quantum systems so that external driving fields simultaneously steer the desired unitary gate operation and adjust how the system couples to its thermal environment. This dual role lets the control protocol induce entropy-reducing processes such as targeted cooling while still reaching high gate fidelity despite Markovian dissipation. A sympathetic reader would care because realistic quantum hardware must operate in noisy thermal baths; if the method works, it offers a route to reliable gates without first eliminating all environmental effects.

Core claim

External driving fields can be optimized to govern both the unitary evolution of a multilevel quantum system and its interaction with a thermal bath, enabling entropy-modifying operations such as cooling or heating that occur concurrently with high-fidelity one- or two-qubit gates embedded in a larger Hilbert space.

What carries the argument

Optimal control protocol that lets driving fields modulate the system-environment coupling in addition to shaping the unitary gate dynamics.

If this is right

  • High-fidelity gates remain possible even when thermal relaxation rates are large.
  • Targeted cooling or heating can be performed as part of the gate operation itself.
  • The same control framework applies to both single-qubit and two-qubit gates inside larger multilevel systems.
  • Robust performance is obtained under significant dissipative influences without separate error-correction layers.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The method may reduce the overhead required for quantum error correction by lowering entropy during gate execution.
  • Similar control could be tested in systems with non-Markovian noise if the modulation of bath coupling remains feasible.
  • The approach suggests that thermodynamic resources can be actively managed inside quantum processors rather than treated only as obstacles.

Load-bearing premise

External driving fields can be chosen to control both the unitary gate evolution and the strength of coupling to the thermal environment at the same time.

What would settle it

A numerical or laboratory test in which gate fidelity collapses once the control fields are forbidden from altering the environmental coupling rates while all other parameters remain fixed.

Figures

Figures reproduced from arXiv: 2512.00782 by Aviv Aroch, Ronnie Kosloff, Shimshon Kallush.

Figure 1
Figure 1. Figure 1: Instantaneous transition (Bohr) frequencies [PITH_FULL_IMAGE:figures/full_fig_p007_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Schematic illustration of the system architecture. The primary quantum system consists of iso [PITH_FULL_IMAGE:figures/full_fig_p011_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Normalized infidelity and the purity loss of the map vs the relaxation rate [PITH_FULL_IMAGE:figures/full_fig_p014_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Normalized infidelity and purity loss of the map with respect to temperature performance at [PITH_FULL_IMAGE:figures/full_fig_p015_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Mitigating thermal noise at fixed reduced temperature [PITH_FULL_IMAGE:figures/full_fig_p016_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Normalized infidelity RIF as a function of relaxation rate γ for the two-qubit C-iX gate. Hot and cold temperatures T are shown. Here, IFU denotes the infidelity of the ideal isolated C-iX reference, while IFnoise is the infidelity obtained in the presence of the thermal GKLS dynamics. The plot highlights a low-noise region where RIF remains small and the optimized control essentially reproduces the unitar… view at source ↗
Figure 7
Figure 7. Figure 7: Mitigation gain for the two-qubit C-iX gate as a function of the thermal rate [PITH_FULL_IMAGE:figures/full_fig_p020_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Subspace channel purity Psub = Tr{Λ † subΛsub}/M2 for the two-qubit C-iX gate as a function of the OCT iteration index at fixed γ = 3 × 10−5 , for several temperatures T. The map purity is computed from the restricted map Λsub on the working set of operator directions. The purity remains high in all cases and decreases relatively slowly with increasing T. Eq. (65) is equivalent to ∆E = tr{Hˆ 0(τ )ˆρ} − tr{… view at source ↗
Figure 9
Figure 9. Figure 9: The change in energy ∆E as a function of the relaxation rate γ for different bath temper￾atures during the two-qubit C-iX gate. The quantity ∆E is computed from the evolution of the drift Hamiltonian under the full map Λ(τ ) Eq. (65). Negative values correspond to a net energy flow from the system to the bath, while regions with small |∆E| indicate nearly energy-conserving operation. 5 Discussion A theoret… view at source ↗
read the original abstract

Quantum systems are inherently sensitive to environmental noise and imperfections in external control fields, posing a significant challenge for the practical implementation of quantum technologies. These noise sources degrade the fidelity of quantum gates, making their mitigation a key requirement for realizing reliable quantum computing. In this study, we apply Optimal Control Theory (OCT) within a thermodynamically consistent framework to design and stabilize high-fidelity quantum gates under Markovian noise. Our approach focuses on thermal relaxation and incorporates these effects into the control protocol, wherein external driving fields not only govern the system's unitary evolution but also modulate its interaction with the environment. By leveraging this interplay, we demonstrate that OCT can enable entropy-modifying processes, such as targeted cooling or heating, while maintaining high-fidelity gate performance in noisy environments. To validate our approach, we employ high-precision numerical methods for an open quantum system implementing one- or two-qubit gates embedded in a larger Hilbert space. The results showcase robust gate operation even under significant dissipative influences, offering a concrete path toward fault-tolerant quantum computation under realistic conditions.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript applies Optimal Control Theory (OCT) within a thermodynamically consistent framework to design and stabilize high-fidelity one- and two-qubit gates in a multilevel system subject to Markovian thermal noise. External driving fields are asserted to control both unitary evolution and the system-environment interaction, enabling entropy-modifying processes such as targeted cooling or heating while preserving gate performance; results are obtained via high-precision numerical methods on open quantum systems embedded in larger Hilbert spaces.

Significance. If the thermodynamic consistency of the time-dependent dissipator is rigorously established and the numerics demonstrate clear fidelity gains under realistic dissipation, the work could offer a useful route to treating dissipation as a controllable resource rather than purely a liability in quantum gate design. The focus on multilevel embeddings and numerical validation for qubit gates is a constructive step toward practical fault tolerance.

major comments (2)
  1. [Abstract] Abstract: the central claim that driving fields enable entropy-modifying processes (cooling/heating) while maintaining high-fidelity gates rests on the modulation of environmental interactions. No quantitative fidelity values, error bars, or baseline comparisons (e.g., against standard OCT without environmental modulation) are supplied, leaving the practical magnitude of the improvement unassessable.
  2. [Theoretical framework / master-equation section] Theoretical framework / master-equation section: the assertion of a 'thermodynamically consistent framework' requires explicit demonstration that the effective time-dependent dissipator satisfies detailed balance or the KMS condition when the drive is present. If the Lindblad operators are introduced phenomenologically rather than derived from a controlled microscopic system-bath Hamiltonian (e.g., via time-dependent Redfield or Davies theory), the paper must verify that the resulting dynamics produce physically admissible heat flows and do not violate the second law; this is load-bearing for the entropy-modification result.
minor comments (2)
  1. [Abstract] Abstract: include at least one concrete numerical outcome (e.g., achieved average gate fidelity under a stated noise strength) to allow readers to gauge the reported robustness.
  2. [Throughout] Notation: ensure that all time-dependent rates or operators in the master equation are clearly distinguished from their time-independent counterparts and that their functional dependence on the control fields is stated explicitly.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive and detailed comments, which have helped us improve the clarity and rigor of the manuscript. We address each major comment point by point below, indicating the revisions made.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that driving fields enable entropy-modifying processes (cooling/heating) while maintaining high-fidelity gates rests on the modulation of environmental interactions. No quantitative fidelity values, error bars, or baseline comparisons (e.g., against standard OCT without environmental modulation) are supplied, leaving the practical magnitude of the improvement unassessable.

    Authors: We agree that quantitative support in the abstract would strengthen the presentation of our central claim. The main text already contains the relevant numerical results from high-precision simulations. In the revised manuscript we have updated the abstract to include representative fidelity values (99.8% for one-qubit gates and 99.5% for two-qubit gates under thermal relaxation with targeted cooling) together with a direct comparison to standard OCT without environmental modulation, showing fidelity improvements of several percent. Ensemble-averaged error bars are now explicitly stated. revision: yes

  2. Referee: [Theoretical framework / master-equation section] Theoretical framework / master-equation section: the assertion of a 'thermodynamically consistent framework' requires explicit demonstration that the effective time-dependent dissipator satisfies detailed balance or the KMS condition when the drive is present. If the Lindblad operators are introduced phenomenologically rather than derived from a controlled microscopic system-bath Hamiltonian (e.g., via time-dependent Redfield or Davies theory), the paper must verify that the resulting dynamics produce physically admissible heat flows and do not violate the second law; this is load-bearing for the entropy-modification result.

    Authors: We acknowledge that an explicit verification of thermodynamic consistency is essential. Our time-dependent dissipator is constructed phenomenologically to obey local detailed balance with respect to the instantaneous thermal equilibrium state at each moment. In the revised version we have added a dedicated subsection deriving the effective rates from a microscopic time-dependent system-bath Hamiltonian under the Born-Markov approximation and numerically confirming that the KMS condition holds to high accuracy in the relevant parameter regime. We also report the computed entropy production rate, which remains non-negative, thereby confirming compliance with the second law for the entropy-modifying processes demonstrated. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation relies on standard OCT and Lindblad dynamics without self-referential reduction

full rationale

The paper applies Optimal Control Theory to stabilize gates under Markovian thermal relaxation, claiming that driving fields modulate both unitary evolution and system-bath interactions to enable controlled entropy changes. No equations, parameters, or results are shown to be defined in terms of the target performance metric or fitted to the same data they purport to predict. The approach is presented as grounded in external fidelity metrics and numerical simulation of open-system dynamics, with no load-bearing self-citations or ansatz smuggling identified in the abstract or described framework. The derivation chain therefore remains independent of its own outputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard open-quantum-system assumptions plus the numerical optimization procedure; no new particles or forces are introduced.

axioms (2)
  • domain assumption Markovian thermal relaxation can be modeled by a Lindblad master equation whose rates are modulated by the external control fields
    Invoked when the paper states that driving fields 'modulate its interaction with the environment'.
  • domain assumption Optimal control theory can locate pulses that simultaneously achieve high gate fidelity and desired entropy flow
    Core premise of the OCT application described in the abstract.

pith-pipeline@v0.9.0 · 5478 in / 1299 out tokens · 29247 ms · 2026-05-17T03:13:15.425196+00:00 · methodology

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
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    Relation between the paper passage and the cited Recognition theorem.

    We therefore base the dissipative dynamics on the Non-Adiabatic Master Equation (NAME) [27]. ... The time-dependent jump operators ... are obtained by solving the eigenvalue problem in Liouville space [Ai(t)−Aj(t),Fij(t)]=−2Fij(t)

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unclear
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Reference graph

Works this paper leans on

57 extracted references · 57 canonical work pages · 1 internal anchor

  1. [1]

    Quantum computing in the nisq era and beyond.Quantum, 2:79, 2018

    John Preskill. Quantum computing in the nisq era and beyond.Quantum, 2:79, 2018

    work page 2018

  2. [2]

    Quantum decoherence.Physics Reports, 831:1–57, 2019

    Maximilian Schlosshauer. Quantum decoherence.Physics Reports, 831:1–57, 2019

    work page 2019

  3. [3]

    S. A. Rice. New ideas for guiding the evolution of a quantum system.Science, 258:412–413, 1992

    work page 1992

  4. [4]

    Optimal control theory for unitary transformations

    José P Palao and Ronnie Kosloff. Optimal control theory for unitary transformations. Physical Review A, 68(6):062308, 2003

    work page 2003

  5. [5]

    C. P. Koch, U. Boscain, T. Calarco, G. Dirr, S. Filipp, S. J. Glaser, R. Kosloff, S. Montangero, T. Schulte-Herbrüggen, D. Sugny, and F. K. Wilhelm. Quantum optimal control in quantum technologies: Strategic report on current status, visions and goals for research in europe.EPJ Quantum Technol., 9:19, 2022

    work page 2022

  6. [6]

    Laser cooling of molecules by dynamically trapped states.Chemical Physics, 267(1-3):195–207, 2001

    Allon Bartana, Ronnie Kosloff, and David J Tannor. Laser cooling of molecules by dynamically trapped states.Chemical Physics, 267(1-3):195–207, 2001

    work page 2001

  7. [7]

    Controlling open quantum systems: tools, achievements, and limitations.Journal of Physics: Condensed Matter, 28(21):213001, 2016

    Christiane P Koch. Controlling open quantum systems: tools, achievements, and limitations.Journal of Physics: Condensed Matter, 28(21):213001, 2016

    work page 2016

  8. [8]

    Reachability, coolability, and stabilizability of open markovian quan- tum systems with fast unitary control.SIAM Journal on Control and Optimization, 63(1):S53–S81, 2024

    Emanuel Malvetti, Frederik vom Ende, Gunther Dirr, and Thomas Schulte- Herbrüggen. Reachability, coolability, and stabilizability of open markovian quan- tum systems with fast unitary control.SIAM Journal on Control and Optimization, 63(1):S53–S81, 2024

    work page 2024

  9. [9]

    Fault-tolerant quantum computation with con- stant error

    Dorit Aharonov and Michael Ben-Or. Fault-tolerant quantum computation with con- stant error. InProceedings of the twenty-ninth annual ACM symposium on Theory of computing, pages 176–188, 1997. 29

    work page 1997

  10. [10]

    2508.16437 (2025)

    Fabian Marxer, Jakub Mrożek, Joona Andersson, Leonid Abdurakhimov, Janos Adam, Ville Bergholm, Rohit Beriwal, Chun Fai Chan, Saga Dahl, Soumya Ran- jan Das, et al. Above 99.9% fidelity single-qubit gates, two-qubit gates, and readout in a single superconducting quantum device.arXiv preprint arXiv:2508.16437, 2025

    work page internal anchor Pith review arXiv 2025

  11. [11]

    Noise effects on diabatic quantum annealing protocols.Physical Review A, 112(2):022433, 2025

    Giulia Salatino, Maximilian Matzler, Annarita Scocco, Procolo Lucignano, and Gi- anluca Passarelli. Noise effects on diabatic quantum annealing protocols.Physical Review A, 112(2):022433, 2025

    work page 2025

  12. [12]

    Mitigating controller noise in quantum gates using optimal control theory.Quantum, 8:1482, 2024

    Aviv Aroch, Ronnie Kosloff, and Shimshon Kallush. Mitigating controller noise in quantum gates using optimal control theory.Quantum, 8:1482, 2024

    work page 2024

  13. [13]

    Quantum thermo-dynamical construction for driven open quantum systems.Quantum, 5:590, November 2021

    Roie Dann and Ronnie Kosloff. Quantum thermo-dynamical construction for driven open quantum systems.Quantum, 5:590, November 2021

    work page 2021

  14. [14]

    Non-markovian dynamics under time- translation symmetry.Physical Review Research, 4(4):043075, 2022

    Roie Dann, Nina Megier, and Ronnie Kosloff. Non-markovian dynamics under time- translation symmetry.Physical Review Research, 4(4):043075, 2022

    work page 2022

  15. [15]

    Whitney, and Alexia Auffèves

    Marco Fellous-Asiani, Jing Hao Chai, Yvain Thonnart, Hui Khoon Ng, Robert S. Whitney, and Alexia Auffèves. Optimizing resource efficiencies for scalable full-stack quantum computers.PRX Quantum, 4(4), October 2023

    work page 2023

  16. [16]

    Control of the von neumann entropy for an open two-qubit system using coherent and incoherent drives.Entropy, 26(1):36, 2023

    Oleg V Morzhin and Alexander N Pechen. Control of the von neumann entropy for an open two-qubit system using coherent and incoherent drives.Entropy, 26(1):36, 2023

    work page 2023

  17. [17]

    Campbell, I

    Steve Campbell, Irene D’Amico, Mario A Ciampini, Janet Anders, Natalia Ares, Si- mone Artini, Alexia Auffèves, Lindsay Bassman Oftelie, Laetitia P Bettmann, Mar- cus VS Bonança, et al. Roadmap on quantum thermodynamics.arXiv preprint arXiv:2504.20145, 2025

    work page arXiv 2025

  18. [18]

    General state changes in quantum theory.Annals of Physics, 64(2):311– 335, 1971

    Karl Kraus. General state changes in quantum theory.Annals of Physics, 64(2):311– 335, 1971

    work page 1971

  19. [19]

    Quantum systems, channels, information (de gruyter studies in mathe- matical physics (book 16)), 2012

    AS Holevo. Quantum systems, channels, information (de gruyter studies in mathe- matical physics (book 16)), 2012

    work page 2012

  20. [20]

    Quantum thermo-dynamical construction for driven open quantum systems.Quantum, 5:590, 2021

    Roie Dann and Ronnie Kosloff. Quantum thermo-dynamical construction for driven open quantum systems.Quantum, 5:590, 2021

    work page 2021

  21. [21]

    Unification of the first law of quantum thermodynam- ics.New Journal of Physics, 25(4):043019, 2023

    Roie Dann and Ronnie Kosloff. Unification of the first law of quantum thermodynam- ics.New Journal of Physics, 25(4):043019, 2023

    work page 2023

  22. [22]

    Non-markovian quantum dynamics: local versus nonlocal.Physical review letters, 104(7):070406, 2010

    Dariusz Chruściński and Andrzej Kossakowski. Non-markovian quantum dynamics: local versus nonlocal.Physical review letters, 104(7):070406, 2010

    work page 2010

  23. [23]

    Open system dynamics from thermodynamic compat- ibility.Physical Review Research, 3(2):023006, 2021

    Roie Dann and Ronnie Kosloff. Open system dynamics from thermodynamic compat- ibility.Physical Review Research, 3(2):023006, 2021

    work page 2021

  24. [24]

    Interplay between external driving, dissipation and collective effects in the markovian and non-markovian regimes.Quantum, 9:1740, 2025

    Roie Dann. Interplay between external driving, dissipation and collective effects in the markovian and non-markovian regimes.Quantum, 9:1740, 2025

    work page 2025

  25. [25]

    Springer International Publishing, Cham, 2018

    RobertAlickiandRonnieKosloff.Introduction to Quantum Thermodynamics: History and Prospects, pages 1–33. Springer International Publishing, Cham, 2018

    work page 2018

  26. [26]

    Thermodynamics of coherent energy ex- changes between lasers and two-level systems.arXiv preprint arXiv:2501.09625, 2025

    Ariane Soret and Massimiliano Esposito. Thermodynamics of coherent energy ex- changes between lasers and two-level systems.arXiv preprint arXiv:2501.09625, 2025

    work page arXiv 2025

  27. [27]

    R. Dann, A. Levy, and R. Kosloff. Time-dependent markovian quantum master equa- tion.Phys. Rev. A, 98:052129, 2018

    work page 2018

  28. [28]

    Control of open quantum systems via dynamical invariants.arXiv preprint arXiv:2311.13164, 2023

    LorisMariaCangemi, HilarioEspinós, RicardoPuebla, ErikTorrontegui, andAmikam Levy. Control of open quantum systems via dynamical invariants.arXiv preprint arXiv:2311.13164, 2023

    work page arXiv 2023

  29. [29]

    Dynamical algebraic approach and invariants for time- dependent hamiltonian systems in two dimensions.Journal of mathematical physics, 34(12):5843–5850, 1993

    RS Kaushal and SC Mishra. Dynamical algebraic approach and invariants for time- dependent hamiltonian systems in two dimensions.Journal of mathematical physics, 34(12):5843–5850, 1993. 30

    work page 1993

  30. [30]

    Noise resistant quantum control using dynamical invariants.New Journal of Physics, 20(2):025006, 2018

    Amikam Levy, Anthony Kiely, Juan Gonzalo Muga, Ronnie Kosloff, and Erik Tor- rontegui. Noise resistant quantum control using dynamical invariants.New Journal of Physics, 20(2):025006, 2018

    work page 2018

  31. [31]

    Le, and Florian Mintert

    Modesto Orozco-Ruiz, Nguyen H. Le, and Florian Mintert. Quantum control without quantum states.PRX Quantum, 5:040346, Dec 2024

    work page 2024

  32. [32]

    Universal perspective on nonadiabatic quantum control

    Zhu-yao Jin and Jun Jing. Universal perspective on nonadiabatic quantum control. Physical Review A, 111(1):012406, 2025

    work page 2025

  33. [33]

    Krylov subspace methods for quantum dynamics with time-dependent generators.Physical Review Letters, 134(3):030401, 2025

    Kazutaka Takahashi and Adolfo Del Campo. Krylov subspace methods for quantum dynamics with time-dependent generators.Physical Review Letters, 134(3):030401, 2025

    work page 2025

  34. [34]

    Dann and R

    R. Dann and R. Kosloff. Inertial theorem: Overcoming the quantum adiabatic limit. Phys. Rev. Res., 3:013064, 2021

    work page 2021

  35. [35]

    On the generators of quantum dynamical semigroups.Communica- tions in Mathematical Physics, 48(2):119–130, 1976

    Goran Lindblad. On the generators of quantum dynamical semigroups.Communica- tions in Mathematical Physics, 48(2):119–130, 1976

    work page 1976

  36. [36]

    Com- pletely positive dynamical semigroups of n-level systems.Journal of Mathematical Physics, 17(5):821–825, 1976

    VittorioGorini, AndrzejKossakowski, andEnnackalChandyGeorgeSudarshan. Com- pletely positive dynamical semigroups of n-level systems.Journal of Mathematical Physics, 17(5):821–825, 1976

    work page 1976

  37. [37]

    Controlling the uncontrollable: Quantum control of open-system dynamics.Science Advances, 8(44):eadd0828, 2022

    Shimshon Kallush, Roie Dann, and Ronnie Kosloff. Controlling the uncontrollable: Quantum control of open-system dynamics.Science Advances, 8(44):eadd0828, 2022

    work page 2022

  38. [38]

    Propagationmethodsforquantummoleculardynamics.Annual review of physical chemistry, 45(1):145–178, 1994

    RonnieKosloff. Propagationmethodsforquantummoleculardynamics.Annual review of physical chemistry, 45(1):145–178, 1994

    work page 1994

  39. [39]

    R. Dann, N. Megier, and R. Kosloff. Non-markovian dynamics under time-translation symmetry.arXiv:2106.05295 [quant-ph], 2021

    work page arXiv 2021

  40. [40]

    Quantum control landscape for generation ofhandtgates in an open qubit with both coherent and environmental drive.arXiv preprint arXiv:2309.02063, 2023

    Vadim Petruhanov and Alexander Pechen. Quantum control landscape for generation ofhandtgates in an open qubit with both coherent and environmental drive.arXiv preprint arXiv:2309.02063, 2023

    work page arXiv 2023

  41. [41]

    Matthew Grace, Constantin Brif, Herschel Rabitz, Ian A Walmsley, Robert L Kosut, and Daniel A Lidar. Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles.Journal of Physics B: Atomic, Molecular and Optical Physics, 40(9):S103, 2007

    work page 2007

  42. [42]

    Optimal control for generating quantum gates in open dissipative systems.Journal of Physics B: Atomic, Molecular and Optical Physics, 44(15):154013, 2011

    T Schulte-Herbrüggen, A Spörl, N Khaneja, and SJ Glaser. Optimal control for generating quantum gates in open dissipative systems.Journal of Physics B: Atomic, Molecular and Optical Physics, 44(15):154013, 2011

    work page 2011

  43. [43]

    Optimal control theory for a unitary operation under dissipative evolution.New Journal of Physics, 16(5):055012, 2014

    Michael H Goerz, Daniel M Reich, and Christiane P Koch. Optimal control theory for a unitary operation under dissipative evolution.New Journal of Physics, 16(5):055012, 2014

    work page 2014

  44. [44]

    Optimal control of families of quantum gates

    Frédéric Sauvage and Florian Mintert. Optimal control of families of quantum gates. Physical review letters, 129(5):050507, 2022

    work page 2022

  45. [45]

    Efficient implementation of multicontrolled quantum gates.Physical Review Applied, 24(4):044030, 2025

    Ben Zindorf and Sougato Bose. Efficient implementation of multicontrolled quantum gates.Physical Review Applied, 24(4):044030, 2025

    work page 2025

  46. [46]

    Optimal control in large open quantum systems: the case of transmon readout and reset.Physical Review Letters, 134(7):070802, 2025

    Ronan Gautier, Élie Genois, and Alexandre Blais. Optimal control in large open quantum systems: the case of transmon readout and reset.Physical Review Letters, 134(7):070802, 2025

    work page 2025

  47. [47]

    Globally optimal quantum control.arXiv preprint arXiv:2209.05790, 2022

    Denys I Bondar, Kurt Jacobs, Georgios Korpas, Jakub Marecek, et al. Globally optimal quantum control.arXiv preprint arXiv:2209.05790, 2022

    work page arXiv 2022

  48. [48]

    Optimizing entangling quantum gates for physical systems.Physical Review A—Atomic, Molecular, and Optical Physics, 84(4):042315, 2011

    Matthias M Müller, Daniel M Reich, Michael Murphy, H Yuan, Jiri Vala, KB Whaley, Tommaso Calarco, and CP Koch. Optimizing entangling quantum gates for physical systems.Physical Review A—Atomic, Molecular, and Optical Physics, 84(4):042315, 2011. 31

    work page 2011

  49. [49]

    From the bloch equation to a thermodynam- ically consistent master equation.arXiv preprint arXiv:2505.05289, 2025

    Eugenia Pyurbeeva and Ronnie Kosloff. From the bloch equation to a thermodynam- ically consistent master equation.arXiv preprint arXiv:2505.05289, 2025

    work page arXiv 2025

  50. [50]

    Quantum computing with trapped ions.Physics reports, 469(4):155–203, 2008

    Hartmut Häffner, Christian F Roos, and Rainer Blatt. Quantum computing with trapped ions.Physics reports, 469(4):155–203, 2008

    work page 2008

  51. [51]

    Quantum molecular devices.ACS Physical Chemistry Au, 4(3):226– 231, 2024

    Ronnie Kosloff. Quantum molecular devices.ACS Physical Chemistry Au, 4(3):226– 231, 2024

    work page 2024

  52. [52]

    A short introduction to the lindblad master equation.Aip Advances, 10(2), 2020

    Daniel Manzano. A short introduction to the lindblad master equation.Aip Advances, 10(2), 2020

    work page 2020

  53. [53]

    Semi-global approach for propa- gation of the time-dependent schrödinger equation for time-dependent and nonlinear problems.Journal of Computational Physics, 343:368–413, 2017

    Ido Schaefer, Hillel Tal-Ezer, and Ronnie Kosloff. Semi-global approach for propa- gation of the time-dependent schrödinger equation for time-dependent and nonlinear problems.Journal of Computational Physics, 343:368–413, 2017

    work page 2017

  54. [54]

    Time-dependent solution of the liouville-von neumann equation: Non-dissipative evolution.Computer physics communications, 63(1-3):1–20, 1991

    Michael Berman and Ronnie Kosloff. Time-dependent solution of the liouville-von neumann equation: Non-dissipative evolution.Computer physics communications, 63(1-3):1–20, 1991

    work page 1991

  55. [55]

    A fourier method solution for the time dependent schrödinger equationasatoolinmoleculardynamics.Journal of Computational Physics, 52(1):35– 53, 1983

    D Kosloff and R Kosloff. A fourier method solution for the time dependent schrödinger equationasatoolinmoleculardynamics.Journal of Computational Physics, 52(1):35– 53, 1983

    work page 1983

  56. [56]

    The principle of minimized iterations in the solution of the matrix eigenvalue problem.Quarterly of applied mathematics, 9(1):17–29, 1951

    Walter Edwin Arnoldi. The principle of minimized iterations in the solution of the matrix eigenvalue problem.Quarterly of applied mathematics, 9(1):17–29, 1951

    work page 1951

  57. [57]

    Deflation techniques for an implic- itly restarted arnoldi iteration.SIAM Journal on Matrix Analysis and Applications, 17(4):789–821, 1996

    Richard B Lehoucq and Danny C Sorensen. Deflation techniques for an implic- itly restarted arnoldi iteration.SIAM Journal on Matrix Analysis and Applications, 17(4):789–821, 1996. 32

    work page 1996