7 citations · 19 across the 5 of their papers we have counts for
5 papers
Quantum Circuit Overhead
Oskar Słowik, Piotr Dulian, Adam Sawicki
We introduce a measure for evaluating the efficiency of finite universal quantum gate sets , called the Quantum Circuit Overhead (QCO), and the related notion of -Q…
Fundamental solutions of heat equation on unitary groups establish an improved relation between -nets and approximate unitary -designs
Oskar Słowik, Oliver Reardon-Smith, Adam Sawicki
The concepts of -nets and unitary (-approximate) -designs are important and ubiquitous across quantum computation and information. Both notions are closely related and the…
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.…
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…
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…