315 citations · 930 across the 28 of their papers we have counts for
28 papers
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…
Positive maps from the walled Brauer algebra
Maria Balanzó-Juandó, Michał Studziński, Felix Huber
We present positive maps and matrix inequalities for variables from the positive cone. These inequalities contain partial transpose and reshuffling operations, and can be understoo…
Minimal Port-based Teleportation
Sergii Strelchuk, Michał Studziński
There are two types of port-based teleportation (PBT) protocols: deterministic -- when the state always arrives to the receiver but is imperfectly transmitted and probabilistic --…
Upper bounds on the leakage of private data and operational approach to markovianity
Karol Horodecki, Michał Studziński, Ryszard P. Kostecki +2
We quantify the consequences of a private key leakage and private randomness generated during quantum key distribution. We provide simple lower bounds on the one-way distillable ke…
Square-root measurements and degradation of the resource state in port-based teleportation scheme
Michał Studziński, Marek Mozrzymas, Piotr Kopszak
Port-based teleportation (PBT) is a protocol of quantum teleportation in which a receiver does not have to apply correction to the transmitted state. In this protocol two spatially…
Optimal Multi-port-based Teleportation Schemes
Marek Mozrzymas, Michał Studziński, Piotr Kopszak
In this paper, we introduce optimal versions of a multi-port based teleportation scheme allowing to send a large amount of quantum information. We fully characterise probabilistic…
Efficient multi port-based teleportation schemes
Michał Studziński, Marek Mozrzymas, Piotr Kopszak +1
In this manuscript we analyse generalised port-based teleportation (PBT) schemes, allowing for transmitting more than one unknown quantum state (or a composite quantum state) in on…
Multiport based teleportation -- transmission of a large amount of quantum information
Piotr Kopszak, Marek Mozrzymas, Michał Studziński +1
We analyse the problem of transmitting a number of unknown quantum states or one composite system in one go. We derive a lower bound on the performance of such process, measured in…
Limitations for private randomness repeaters
Karol Horodecki, Ryszard P. Kostecki, Roberto Salazar +1
Cryptographic protocols are often based on the two main resources: private randomness and private key. In this paper, we develop a relationship between these two resources. First,…
Positive Maps From Irreducibly Covariant Operators
Piotr Kopszak, Marek Mozrzymas, Michał Studziński
In this paper, we discuss positive maps induced by (irreducibly) covariant linear operators for finite groups. The application of group theory methods allows deriving some new resu…
Quantum error correction codes and absolutely maximally entangled states
Paweł Mazurek, Máté Farkas, Andrzej Grudka +2
For every stabiliser -qudit absolutely maximally entangled state, we present a method for determining the stabiliser generators and logical operators of a corresponding quantum…
A Class of PPT Entangled States Arbitrary Far From Separable States
Adam Rutkowski, Michał Studziński
In this paper we show an explicit construction of multipartite class of entangled states with the PPT (Positive Partial Transposition) property in every cut. We investigate propert…
Simplified formalism of the algebra of partially transposed permutation operators with applications
Marek Mozrzymas, Michał Studziński, Michał Horodecki
Hereunder we continue the study of the representation theory of the algebra of permutation operators acting on the -fold tensor product space, partially transposed on the last s…
Optimal Port-based Teleportation
Marek Mozrzymas, Michał Studziński, Sergii Strelchuk +1
Deterministic port-based teleportation (dPBT) protocol is a scheme where a quantum state is guaranteed to be transferred to another system without unitary correction. We characteri…
Structure of irreducibly covariant quantum channels for finite groups
Marek Mozrzymas, Michał Studziński, Nilanjana Datta
We obtain an explicit characterization of linear maps, in particular, quantum channels, which are covariant with respect to an irreducible representation () of a finite group ($…
Separability Properties for a Class of Block Matrices
Marek Mozrzymas, Adam Rutkowski, Michał Studziński
It is shown that, for the block matrices belonging to with commuting and normal block entries of dimension , the separability of such a block matrices is equi…
Using non-positive maps to characterize entanglement witnesses
Marek Mozrzymas, Adam Rutkowski, Michał Studziński
In this paper we present a new method for entanglement witnesses construction. We show that to construct such an object we can deal with maps which are not positive on the whole do…
Construction and properties of a class of private states in arbitrary dimensions
Adam Rutkowski, Michał Studziński, Piotr Ćwikliński +1
We present a construction of quantum states in dimension that has at least 1 dit of ideal key, called private dits (pdits), which covers most of the known examples of private b…
Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
Piotr Ćwikliński, Michał Studziński, Michał Horodecki +1
The second law of thermodynamics places a limitation into which states a system can evolve into. For systems in contact with a heat bath, it can be combined with the law of energy…
Explicit constructions of unitary transformations between equivalent irreducible representations
Marek Mozrzymas, Michał Studziński, Michał Horodecki
Irreducible representations (irreps) of a finite group are equivalent if there exists a similarity transformation between them. In this paper, we describe an explicit algorithm…
Group representation approach to 1 - N universal quantum cloning machines
Michał Studziński, Piotr Ćwikliński, Michał Horodecki +1
In this work, we revisit the problem of finding an admissible region of fidelities obtained after an application of an arbitrary universal quantum cloner which ha…
Structure and properties of the algebra of partially transposed permutation operators
Marek Mozrzymas, Michał Horodecki, Michał Studziński
We consider the structure of algebra of operators, acting in fold tensor product space, which are partially transposed on the last term. Using purely algebraical methods we sho…
Commutant structuture of Ux...xUxU* transformations
Michał Studziński, Michał Horodecki, Marek Mozrzymas
In this paper we have found irreducible representations (irreps) of the algebra of partially transposed permutation operators on last subsystem. We give here direct method of irrep…
Local random quantum circuits are approximate polynomial-designs - numerical results
Piotr Ćwikliński, Michał Horodecki, Marek Mozrzymas +2
We numerically investigate the statement that local random quantum circuits acting on n qubits composed of polynomially many nearest neighbour two-qubit gates form an approximate u…