Original Research
Articles |
Number |
Authors-in
alphabetical order |
Title |
Journal
reference |
arXiv/pdf link |
22 | A. Vershynina | Dynamic
coherence measures |
arxiv:2401.07127 | |
21 | A. Vershynina | Coherence
as entropy increment for Tsallis and Renyi entropies |
Quantum Information Processing 22: 127
(2023) DOI:10.1007/s11128-023-03872-y |
arxiv:2208.06840 |
20 | E. Evert, S. McCullough, T. Strekelj, A. Vershynina | Convexity
of a certain operator trace functional |
Linear Algebra and Applications 643:
218-234, (2022) DOI:10.1016/j.laa.2022.02.033 |
arxiv:2109.11528 |
19 | A. Vershynina | Measure of
genuine coherence based on quasi-relative entropy
|
Quantum
Information Processing 21: 184 (2022) DOI:10.1007/s11128-022-03531-8 |
arxiv:2102.13142 |
18 | A. Vershynina | Closest
separable state when measured by a quasi-relative
entropy |
Journal
of Physics A: Mathematical and Theoretical, 54:
105301, (2021) DOI:10.1018/1751-8121/abe0d7 |
arxiv:2009.04982 |
17 | A. Vershynina | Quantum coherence, discord and correlation measures based on Tsallis relative entropy | Quantum Information and
Computation, 20(7&8): 553 (2020) DOI:10.26421/CIC20.7-8-2 |
arxiv:1912.05426 |
16 | A. Vershynina | Upper continuity bound on the quantum
quasi-relative entropy |
Journal of Mathematical Physics,
60(10) (2019) DOI: 10.1063/1.5114619 |
arxiv:1904.00795 |
15 |
A. Vershynina |
On quantum quasi-relative entropy |
Reviews in Mathematical Physics,
31(7):1950022, (2019) DOI: 10.1142/S0129055X19500223 |
arxiv.1810.00391 |
14 |
A. Vershynina |
Entanglement rates for Renyi, Tsallis and
other entropies |
Journal of Mathematical Physics,
60(2) (2019) DOI: 10.1063/1.5037802 |
arxiv:1803.07117 |
13 |
E. A. Carlen, A. Vershynina | Recovery and the Data Processing Inequality for quasi-entropies | IEEE Transactions on Information
Theory 64(10):1, (2018) DOI: 10.1109/TIT.2018.2812038 |
arXiv:1710.08080 |
12 |
E. A. Carlen, A. Vershynina | Recovery map stability for the Data Processing Inequality | Journal of Physics A:
Mathematical and Theoretical, 53: 035204, (2020) DOI: 10.1088/1751-8121/ab5ab7 |
arXiv:1710.02409 |
11 |
S. Huber, R. Koenig, A. Vershynina | Geometric inequalities from phase space translations | Journal of Mathematical Physics, 58(1):012206, (2017) | arXiv:1606.08603 |
10 |
A. Vershynina | Entanglement rates for bipartite open systems | Physical Review A, 92(2):022311, (2015) | arXiv:1505.00416 |
9 |
A. Vershynina | Complete criterion for convex-Gaussian state detection | Physical Review A, 90(6):062329, (2014) | arXiv:1409.8480 |
8 |
D. Gosset, B. M. Terhal, A. Vershynina | Universal adiabatic quantum computation via the space-time circuit-to-Hamiltonian construction | Physical Review Letters, 114:140501, (2015) | arXiv:1409.7745 |
7 |
E. H. Lieb, A. Vershynina | Upper bound on mixing rates | Quantum Information and Computation, 13(11&12):0986, (2013) | arXiv:1302.3865 |
6 |
A.Vershynina | Existence of the thermodynamic limit and asymptotic behavior of some irreversible quan tum dynamical systems | This is a modified version of my UC Davis PhD dissertation. (2012) | arXiv:1207.5763 |
5 |
B. Nachtergaele, A. Vershynina, V. A. Zagrebnov | Non-equilibrium states of a photon cavity pumped by an atomic beam | Annales Henri Poincare, 15(2):213, (2014) | arXiv:1206.6169 |
4 |
B. Nachtergaele, A. Vershynina, V. A. Zagrebnov | Lieb-Robinson bound and the existence of the thermodynamic limit for the class of irreversible dynamics | AMS Contemporary Mathematics, 552:161, (2011) | arXiv:1103.1122 |
3 |
Q. Xia, A. Vershynina | On the transport dimension of measures | SIAM Journal on Mathematical Analysis, 41(6):2407, (2009) | arXiv:0905.3837 |
2 |
S. Gefter, A. Vershynina | On analytic solutions of the heat equation with an operator coefficient | Journal of Mathematical Sciences, 156(5):799, (2009). Russian version in Zapiski Nauchnyh Seminarov POMI, 355:139, (2008) | pdf |
1 |
S. Gefter, A. Vershynina | On holomorphic solutions of the heat equation with a Volterra operator coefficient | Methods of Functional Analysis and Topology, 13(4):329, (2007) | pdf |
Number |
Authors |
Title |
Publication |
4 |
S. Chehade, A. Vershynina |
Quantum entropies |
Scholarpedia 14(2): 53131,
(2019) doi:10.4249/scholarpedia.53131 |
3 |
A. Vershynina, E. H. Lieb |
Lieb-Robinson bounds |
Scholarpedia 8(9): 31267, (2013) doi:10.4249/scholarpedia.31267 |
2 |
A. Vershynina, E. A. Carlen, E. H. Lieb |
Strong subadditivity of quantum
entropy |
Scholarpedia 8(4): 30920, (2013) doi:10.4249/scholarpedia.30920 |
1 |
A. Vershynina, E. A. Calren, E. H. Lieb |
Matrix and operator trace inequalities |
Scholarpedia 8(4): 30919, (2013) doi:10.4249/scholarpedia.30919 |