Anna Vershynina

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Original Research Articles
publications
 
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


Review Articles

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