5 papers
Resource theory of coherence in continuous position basis from measurement-induced dephasing
Karol Sajnok, Fabio Costa
We develop a resource-theoretic framework for quantum coherence directly in continuous basis, with emphasis on the position representation. Since position eigenstates are non-norma…
Near-Equilibrium Propagation training in nonlinear wave systems
Karol Sajnok, MichaÅ Matuszewski, Michał Matuszewski
Backpropagation learning algorithm, the workhorse of modern artificial intelligence, is notoriously difficult to implement in physical neural networks. Equilibrium Propagation (EP)…
The relativistic reason for quantum probability amplitudes
Karol Sajnok, Kacper DÄbski, Kacper Dębski +1
We show that the quantum-mechanical probability distribution involving complex probability amplitudes can be derived from three natural conditions imposed on a relativistically inv…
Operator Ordering in the Relativistic Quantization: Specific Heat in the Rindler Frame
Karol Sajnok, Kacper DÄbski
We introduce a covariant canonical quantization for a particle in curved spacetime that tracks operator-ordering ambiguities. Parameterizing spatial and temporal ordering, we deriv…
Modeling Nonlinear Optics with the Transfer Matrix Method
Karol Sajnok, MichaÅ Matuszewski
The Transfer Matrix Method (TMM) is a widely used technique for modeling linear propagation of electromagnetic waves through stratified layered media. However, since its extension…