Oskar Słowik

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20192025

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quant-ph2025

Fundamental solutions of heat equation on unitary groups establish an improved relation between $ε$ -nets and approximate unitary $t$ -designs

Oskar Słowik, Oliver Reardon-Smith, Adam Sawicki

The concepts of $ε$ -nets and unitary ( $δ$ -approximate) $t$ -designs are important and ubiquitous across quantum computation and information. Both notions are closely related and the…

quant-ph2020

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…

quant-ph2019

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…

Fundamental solutions of heat equation on unitary groups establish an improved relation between ε-nets and approximate unitary t-designs

Designing locally maximally entangled quantum states with arbitrary local symmetries

A link between symmetries of critical states and the structure of SLOCC classes in multipartite systems

Fundamental solutions of heat equation on unitary groups establish an improved relation between $ε$ -nets and approximate unitary $t$ -designs