90 citations · 543 across the 32 of their papers we have counts for
35 papers
Pointer States in the Born-Markov approximation
Uttam Singh, Adam Sawicki, Jarosław K. Korbicz
Explaining the emergence of classical properties of a quantum system through its interaction with the environment has been one of the promising ideas on how to understand the notor…
A random matrix model for random approximate -designs
Piotr Dulian, Adam Sawicki
For a Haar random set of quantum gates we consider the uniform measure whose support is given by . The measure $ν_\mathcal{S}…
Matrix concentration inequalities and efficiency of random universal sets of quantum gates
Piotr Dulian, Adam Sawicki
For a random set of quantum gates we provide bounds on the probability that forms a -approximate -design. In particular we have found…
Calculable lower bounds on the efficiency of universal sets of quantum gates
Oskar Słowik, Adam Sawicki
Currently available quantum computers, so called Noisy Intermediate-Scale Quantum (NISQ) devices, are characterized by relatively low number of qubits and moderate gate fidelities.…
On the Universality and Membership problems for quantum gates
Lorenzo Mattioli, Adam Sawicki
We study the Universality and Membership Problems for gate sets consisting of a finite number of quantum gates. Our approach relies on the techniques from compact Lie groups theory…
How to check universality of quantum gates?
Adam Sawicki, Lorenzo Mattioli, Zoltán Zimborás
We provide two simple universality criteria. Our first criterion states that is universal if and only if forms a -approximate …
Designing locally maximally entangled quantum states with arbitrary local symmetries
Oskar Słowik, Adam Sawicki, Tomasz Maciążek
One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local…
Epsilon-nets, unitary designs and random quantum circuits
Michał Oszmaniec, Adam Sawicki, Michał Horodecki
Epsilon-nets and approximate unitary -designs are natural notions that capture properties of unitary operations relevant for numerous applications in quantum information and qua…
A link between symmetries of critical states and the structure of SLOCC classes in multipartite systems
Oskar Słowik, Martin Hebenstreit, Barbara Kraus +1
Central in entanglement theory is the characterization of local transformations among pure multipartite states. As a first step towards such a characterization, one needs to identi…
Implications of pinned occupation numbers for natural orbital expansions. II: Rigorous derivation and extension to non-fermionic systems
Tomasz Maciążek, Adam Sawicki, David Gross +2
We have explained and comprehensively illustrated in Part I that the generalized Pauli constraints suggest a natural extension of the concept of active spaces. In the present Part…
Implications of pinned occupation numbers for natural orbital expansions. I: Generalizing the concept of active spaces
Christian Schilling, Carlos L. Benavides-Riveros, Alexandre Lopes +2
The concept of active spaces simplifies the description of interacting quantum many-body systems by restricting to a neighbourhood of active orbitals around the Fermi level. The re…
Non-abelian Quantum Statistics on Graphs
Tomasz Maciążek, Adam Sawicki
We show that non-abelian quantum statistics can be studied using certain topological invariants which are the homology groups of configuration spaces. In particular, we formulate a…
Asymptotic properties of entanglement polytopes for large number of qubits
Tomasz Maciążek, Adam Sawicki
Entanglement polytopes have been recently proposed as the way of witnessing the SLOCC multipartite entanglement classes using single particle information. We present first asymptot…
Products of finite order rotations and quantum gates universality
Katarzyna Karnas, Adam Sawicki
We consider a product of two finite order quantum -gates , and ask when has an infinite order. Using the fact that is a double cover of $SO…
Multipartite quantum correlations: symplectic and algebraic geometry approach
A. Sawicki, T. Maciążek, M. Oszmaniec +3
We review a geometric approach to classification and examination of quantum correlations in composite systems. Since quantum information tasks are usually achieved by manipulating…
Criteria for universality of quantum gates
Adam Sawicki, Katarzyna Karnas
We consider the problem of deciding if a set of quantum one-qudit gates is universal. We provide the compact form criteria leading to a simple algo…
Universality of single qudit gates
Adam Sawicki, Katarzyna Karnas
We consider the problem of deciding if a set of quantum one-qudit gates is universal, i.e if the closure is equ…
Homology groups for particles on one-connected graphs
Tomasz Maciążek, Adam Sawicki
We present a mathematical framework for describing the topology of configuration spaces for particles on one-connected graphs. In particular, we compute the homology groups over in…
Universality of beamsplitters
Adam Sawicki
We consider the problem of building an arbitrary real orthogonal operator using a finite set, , of elementary quantum optics gates operating on modes - the…
Topology of graph configuration spaces and quantum statistics
Adam Sawicki
In this thesis we develop a full characterization of abelian quantum statistics on graphs. We explain how the number of anyon phases is related to connectivity. For 2-connected gra…
Critical points of the linear entropy for pure L-qubit states
Tomasz Maciazek, Adam Sawicki
We present a substancially improved version of the method proposed in Sawicki et al (2012, 2014) for finding critical points of the linear entropy for L-qubit system. The new appro…
Resonances and poles in isoscattering microwave networks and graphs
Michal Lawniczak, Adam Sawicki, Szymon Bauch +2
Can one hear the shape of a graph? This is a modification of the famous question of Mark Kac "Can one hear the shape of a drum?" which can be asked in the case of scattering system…
How many invariant polynomials are needed to decide local unitary equivalence of qubit states?
Tomasz Maciazek, Michał Oszmaniec, Adam Sawicki
Given L-qubit states with the fixed spectra of reduced one-qubit density matrices, we find a formula for the minimal number of invariant polynomials needed for solving local unitar…
Geometry and topology of CC and CQ states
Michał Oszmaniec, Piotr Suwara, Adam Sawicki
We show that multipartite mixed bipartite CC and CQ states are geometrically and topologically distinguished in the space of states. They are characterized by non-vanishing Euler-P…