Publications

2017

1. A. Sawicki, K. Karnas, Criteria for universality of quantum gates, Phys. Rev. A 95, 062303 (2017)

2. T. Maciążek, A. Sawicki Homology groups for particles on one-connected graphs, J. Math. Phys., 58, 062103, (2017)

3. A. Sawicki, K. Karnas, Universality of single-qudit gates, Ann. Henri Poincaré (2017). https://doi.org/10.1007/s00023-017-0604-z

4. K. Karnas, A. Sawicki, When is a product of finite order qubit gates of infinite order?, J. Phys. A: Math. Theor https://doi.org/10.1088/1751-8121/aa91db

2016

1. Adam Sawicki
Universality of Beamsplitters
Quantum Information and Computation, Vol. 16, No. 3&4 (2016) 0291–0312 (archive)

2015

1. Tomasz Maciążek, Adam Sawicki
Critical points of the linear entropy for pure L-qubit states
J. Phys. A: Math. Theor. 48 045305 (1/2015) (archive)

2014

1. Adam Sawicki
Topology of graph configuration spaces and quantum statistics
PhD thesis, Bristol 2014

2. Michał Oszmaniec, Piotr Suwara and Adam Sawicki
Geometry and topology of CC and CQ states
J. Math. Phys. 55, 062204 (2014)

3. J.M. Harrison, J.P. Keating, J.M. Robbins, A. Sawicki
n-Particle Quantum Statistics on Graphs
Commun. Math. Phys. 330, 1293–1326 (2014)

4. Adam Sawicki, Michał Oszmaniec, Marek Kuś
Convexity of momentum map, Morse index, and quantum entanglement
Reviews in Mathematical Physics, 26, 1450004, (2014) (archive)

5. M. Ławniczak, A. Sawicki, S. Bauch, M. Kuś, L. Sirko
Resonances and poles in isoscattering microwave networks and graphs
Phys. Rev. E 89, 032911 (2014) (archive)

2013

1. M. Ławniczak, S. Bauch, A. Sawicki, M. Kuś, L. Sirko
Isoscattering Microwave Networks – The Role of the Boundary Conditions
Proceedings of the 6th Workshop on Quantum Chaos and Localisation Phenomena, Acta Phys. Pol. A 124, 1078-1081 (2013)

2. Tomasz Maciążek, Michał Oszmaniec, and Adam Sawicki
How many invariant polynomials are needed to decide local unitary equivalence of qubit states?
J. Math. Phys. 54, 092201 (2013)

3. O Hul, M Ławniczak, S Bauch, A Sawicki, M Kuś, L Sirko
Are Scattering Properties of Networks Uniquely Connected to Their Shapes?
Low-Dimensional Functional Materials NATO Science for Peace and Security Series B: Physics and Biophysics 2013, pp 127-137

4. A Sawicki, V V Tsanov
A link between quantum entanglement, secant varieties and sphericity
J. Phys. A: Math. Theor. 46 265301 (2013)

5. A. Huckleberry, M. Kuś, A. Sawicki
Bipartite entanglement, spherical actions, and geometry of local unitary orbits
J. Math. Phys. 54, 022202 (2013) (archive)

6. A Sawicki, M Walter, M Kuś
When is a pure state of three qubits determined by its single-particle reduced density matrices?
J. Phys. A: Math. Theor. 46 055304 (2013) (archive)

2012

 

1. A Sawicki
Discrete Morse functions for graph configuration spaces
J. Phys. A: Math. Theor. 45 505202 (2012)

2. Adam Sawicki, Michał Oszmaniec, Marek Kuś
Critical sets of the total variance can detect all stochastic local operations and classical communication classes of multiparticle entanglement
Phys. Rev. A 86, 040304(R) (2012) (archive)

3. O. Hul, M. Ławniczak, S. Bauch, A. Sawicki, M Kuś, L. Sirko
Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
Phys. Rev. Lett. 109, 040402 (2012) (archive)

2011

1. Adam Sawicki, Marek Kuś
Geometry of the local equivalence of states
J. Phys. A: Math. Theor. 44 495301 (2011) (archive)

2. R. Band, A. Sawicki, U Smilansky
Note on the Role of Symmetry in Scattering from Isospectral Graphs and Drums
Proceedings of the 5th Workshop on Quantum Chaos and Localisation Phenomena, Acta Phys. Pol. A Vol. 120 no. 5 (2011)

3. Adam Sawicki, Alan Huckleberry, Marek Kuś
Symplectic Geometry of Entanglement
Comm. Math. Phys. 305, 441-468 (2011) (archive)

2010

1. Adam Sawicki, Marek Kuś
Classical nonintegrability of a quantum chaotic SU(3) Hamiltonian system
Physica D: Nonlinear Phenomena 239, 719–726 (2010) (archive)

2. R. Band, A. Sawicki, U. Smilansky
Scattering from isospectral quantum graphs
J. Phys. A: Math. Theor. 43 (2010) 415201

Preprints

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