462 citations · 1.4k across the 38 of their papers we have counts for
38 papers
Quantum Koopman Algorithms
David Jennings, Kamil Korzekwa, Matteo Lostaglio +1
Solving high-dimensional dynamical systems by encoding their state in the amplitudes of a quantum state is expected to be a core application of fault-tolerant quantum computers. Ho…
Simulating non-trivial incompressible flows with a quantum lattice Boltzmann algorithm
David Jennings, Kamil Korzekwa, Matteo Lostaglio +4
Quantum algorithms have been identified as a potential means to accelerate computational fluid dynamics (CFD) simulations, with the lattice Boltzmann method (LBM) being a promising…
An end-to-end quantum algorithm for nonlinear fluid dynamics with bounded quantum advantage
David Jennings, Kamil Korzekwa, Matteo Lostaglio +3
Computational fluid dynamics (CFD) is a cornerstone of classical scientific computing, and there is growing interest in whether quantum computers can accelerate such simulations. T…
Quantum algorithms for general nonlinear dynamics based on the Carleman embedding
David Jennings, Kamil Korzekwa, Matteo Lostaglio +3
Important nonlinear dynamics, such as those found in plasma and fluid systems, are typically hard to simulate on classical computers. Thus, if fault-tolerant quantum computers coul…
Finite-size catalysis in quantum resource theories
Patryk Lipka-Bartosik, Kamil Korzekwa
Quantum catalysis, the ability to enable previously impossible transformations by using auxiliary systems without degrading them, has emerged as a powerful tool in various resource…
Perfect quantum protractors
Michał Piotrak, Marek Kopciuch, Arash Dezhang Fard +3
In this paper we introduce and investigate the concept of a perfect quantum protractor, a pure quantum state that generates three different orthogonal bas…
Improved simulation of quantum circuits dominated by free fermionic operations
Oliver Reardon-Smith, Michał Oszmaniec, Kamil Korzekwa
We present a classical algorithm for simulating universal quantum circuits composed of "free" nearest-neighbour matchgates or equivalently fermionic-linear-optical (FLO) gates, and…
Quantum-embeddable stochastic matrices
Fereshte Shahbeigi, Christopher T. Chubb, Ryszard Kukulski +2
The classical embeddability problem asks whether a given stochastic matrix , describing transition probabilities of a -level system, can arise from the underlying homogeneous…
Resource engines
Hanna Wojewódka-Ściążko, Zbigniew Puchała, Kamil Korzekwa
In this paper we aim to push the analogy between thermodynamics and quantum resource theories one step further. Previous inspirations were based predominantly on thermodynamic cons…
Thermal recall: Memory-assisted Markovian thermal processes
Jakub Czartowski, A. de Oliveira Junior, Kamil Korzekwa
We develop a resource-theoretic framework that allows one to bridge the gap between two approaches to quantum thermodynamics based on Markovian thermal processes (which model memor…
Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
Patryk Lipka-Bartosik, Christopher T. Chubb, Joseph M. Renes +2
We address the problem of exact and approximate transformation of quantum dichotomies in the asymptotic regime, i.e., the existence of a quantum channel mapping $ρ_1^{…
Geometric structure of thermal cones
A. de Oliveira Junior, Jakub Czartowski, Karol Życzkowski +1
The second law of thermodynamics imposes a fundamental asymmetry in the flow of events. The so-called thermodynamic arrow of time introduces an ordering that divides the system's s…
Optimizing thermalizations
Kamil Korzekwa, Matteo Lostaglio
We present a rigorous approach, based on the concept of continuous thermomajorisation, to algorithmically characterise the full set of energy occupations of a quantum system access…
Continuous thermomajorization and a complete set of laws for Markovian thermal processes
Matteo Lostaglio, Kamil Korzekwa
The standard dynamical approach to quantum thermodynamics is based on Markovian master equations describing the thermalization of a system weakly coupled to a large environment, an…
Dephasing superchannels
Zbigniew Puchała, Kamil Korzekwa, Roberto Salazar +2
We characterise a class of environmental noises that decrease coherent properties of quantum channels by introducing and analysing the properties of dephasing superchannels. These…
Fluctuation-dissipation relations for thermodynamic distillation processes
Tanmoy Biswas, A. de Oliveira Junior, Michał Horodecki +1
The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the…
Algebraic and geometric structures inside the Birkhoff polytope
Grzegorz Rajchel-Mieldzioć, Kamil Korzekwa, Zbigniew Puchała +1
The Birkhoff polytope consisting of all bistochastic matrices of order assists researchers from many areas, including combinatorics, statistical physics and qua…
Work fluctuations due to partial thermalizations in two-level systems
Maria Quadeer, Kamil Korzekwa, Marco Tomamichel
We study work extraction processes mediated by finite-time interactions with an ambient bath -- \emph{partial thermalizations} -- as continuous time Markov processes for two-level…
Fast estimation of outcome probabilities for quantum circuits
Hakop Pashayan, Oliver Reardon-Smith, Kamil Korzekwa +1
We present two classical algorithms for the simulation of universal quantum circuits on qubits constructed from instances of Clifford gates and arbitrary-angle -rota…
Quantum advantage in simulating stochastic processes
Kamil Korzekwa, Matteo Lostaglio
We investigate the problem of simulating classical stochastic processes through quantum dynamics, and present three scenarios where memory or time quantum advantages arise. First,…
Encoding classical information into quantum resources
Kamil Korzekwa, Zbigniew Puchała, Marco Tomamichel +1
We introduce and analyse the problem of encoding classical information into different resources of a quantum state. More precisely, we consider a general class of communication sce…
Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory
Cristina Cirstoiu, Kamil Korzekwa, David Jennings
To what extent does Noether's principle apply to quantum channels? Here, we quantify the degree to which imposing a symmetry constraint on quantum channels implies a conservation l…
Distinguishing classically indistinguishable states and channels
Kamil Korzekwa, Stanisław Czachórski, Zbigniew Puchała +1
We investigate an original family of quantum distinguishability problems, where the goal is to perfectly distinguish between quantum states that become identical under a comple…
Avoiding irreversibility: engineering resonant conversions of quantum resources
Kamil Korzekwa, Christopher T. Chubb, Marco Tomamichel
We identify and explore the intriguing property of resource resonance arising within resource theories of entanglement, coherence and thermodynamics. While the theories considered…