55 citations · 141 across the 25 of their papers we have counts for
26 papers
Anti-isomorphisms and the naturality of channel--state duality
Marcin Marciniak, Michał Cholewiak
Channel--state duality identifies completely positive maps with bipartite states. Its generalisation to von Neumann algebras is known to produce states not on $\mathcal{M}\bar{\oti…
Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state
Anita Dąbrowska, Marcin Marciniak
We determine filtering and master equations for a quantum system interacting with wave packet of light in a continuous-mode squeezed number state. We formulate the problem of condi…
Optimal universal quantum circuits for unitary complex conjugation
Daniel Ebler, Michał Horodecki, Marcin Marciniak +3
Let be a unitary operator representing an arbitrary -dimensional unitary quantum operation. This work presents optimal quantum circuits for transforming a number of ca…
Characterization of -positive maps
Marcin Marciniak, Tomasz Młynik, Hiroyuki Osaka
We present a general characterization of k-positivity for a positive map in terms of the estimation of the Ky Fan norm of the matrix constructed from the Kraus operators of the ass…
Information backflow may not indicate quantum memory
Michal Banacki, Marcin Marciniak, Karol Horodecki +1
We analyze recent approaches to quantum Markovianity and how they relate to the proper definition of quantum memory. We point out that the well-known criterion of information backf…
General mapping of multi-quit entanglement conditions to non-separability indicators for quantum optical fields
Junghee Ryu, Bianka Woloncewicz, Marcin Marciniak +2
We show that any multi-qudit entanglement witness leads to a non-separability indicator for quantum optical fields, which involves intensity correlations. We get, e.g., necessary a…