Adam Sawicki

collaborators

3 papers

quant-ph2026

Quantum Circuit Overhead

Oskar SÅowik, Piotr Dulian, Adam Sawicki

We introduce a measure for evaluating the efficiency of finite universal quantum gate sets $S$ , called the Quantum Circuit Overhead (QCO), and the related notion of $T$ -Q…

quant-ph2025

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

Oskar SÅowik, Oliver Reardon-Smith, Adam Sawicki

The concepts of $I^µ$ -nets and unitary ( $I^´$ -approximate) $t$ -designs are important and ubiquitous across quantum computation and information. Both notions are closely related and t…

quant-ph2025

Symplectic Structures in Quantum Entanglement

Piotr Dulian, Adam Sawicki

In this work, we explore the implications of applying the formalism of symplectic geometry to quantum mechanics, particularly focusing on many-particle systems. We extend the conce…

Quantum Circuit Overhead

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

Symplectic Structures in Quantum Entanglement

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