Quantum circuit overhead
Oskar Słowik; Piotr Dulian; Adam Sawicki
Matrix concentration inequalities and efficiency of random universal sets of quantum gates
Pointer States in the Born-Markov Approximation
On the universality and membership problems for quantum gates
Lorenzo Mattioli; Adam Sawicki
Scattering from isospectral quantum graphs
Classical nonintegrability of a quantum chaotic SU (3) Hamiltonian system
Note on the Role of Symmetry in Scattering from Isospectral Graphs and Drums
Discrete Morse functions for graph configuration spaces
Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
Isoscattering Microwave Networks - The Role of the Boundary Conditions
Bipartite entanglement, spherical actions, and geometry of local unitary orbits
n-Particle Quantum Statistics on Graphs
Geometry and topology of CC and CQ states
Universality of Single-Qudit Gates
Homology groups for particles on one-connected graphs
MULTIPARTITE QUANTUM CORRELATIONS: SYMPLECTIC AND ALGEBRAIC GEOMETRY APPROACH
Designing locally maximally entangled quantum states with arbitrary local symmetries
Universality verification for a set of quantum gates
A link between symmetries of critical states and the structure of SLOCC classes in multipartite systems
Implications of pinned occupation numbers for natural orbital expansions. I: Generalizing the concept of active spaces
Fundamental solutions of the heat equation on unitary groups establish an improved relation between ε-nets and approximate unitary t-designs
Oskar Słowik; Oliver Reardon-Smith; Adam Sawicki
Calculable lower bounds on the efficiency of universal sets of quantum gates
Epsilon-Nets, Unitary Designs, and Random Quantum Circuits
Michal Oszmaniec; Adam Sawicki; Michal Horodecki
A Random Matrix Model for Random Approximate t-Designs
Piotr Dulian; Adam Sawicki
Symplectic Geometry of Entanglement
Geometry of the local equivalence of states
Critical sets of the total variance can detect all stochastic local operations and classical communication classes of multiparticle entanglement
When is a pure state of three qubits determined by its single-particle reduced density matrices?
How many invariant polynomials are needed to decide local unitary equivalence of qubit states?
A link between quantum entanglement, secant varieties and sphericity
Resonances and poles in isoscattering microwave networks and graphs
Convexity of momentum map, Morse index, and quantum entanglement
Critical points of the linear entropy for pure L-qubit states
Criteria for universality of quantum gates
Asymptotic properties of entanglement polytopes for large number of qubits
When is a product of finite order qubit gates of infinite order?
Isoscattering strings of concatenating graphs and networks
Delay-time distribution in the scattering of short Gaussian pulses in microwave networks
Non-abelian Quantum Statistics on Graphs
Implications of pinned occupation numbers for natural orbital expansions. II: Rigorous derivation and extension to non-fermionic systems
Universality of single qudit gates
