Prof. Dr. Grigori Amosov

Terra Quantum team member since 2019

Specialism: Engineering, Physical and Mathematical Sciences

Qualified Engineer, Moscow Institute of Physics and Technology 1989 – 1995
Doctor of Physical and Mathematical Sciences, Russian Federal Ministry of Education and Science, 2008

Amosov, G.G., Mokeev, A.S., Pechen, A.N.

Non-commutative graphs and quantum error correction for a two-mode quantum oscillator

(2020) Quantum Information Processing, 19 (3), article № 95, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078925673&doi=10.1007%2fs11128-019-2554-5&partnerID=40&md5=9f25b142a17cf1484b974c523bb4f130

Amosov, G.G., Kholmogorov, E.O.

On Singular Perturbations of the Semigroup of Shifts on the Algebra of Canonical Anticommutation Relations

(2019) Russian Mathematics, 63 (11), pp. 67-70.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077083450&doi=10.3103%2fS1066369X19110094&partnerID=40&md5=537e179d73cb98e5165a8727ad4ec413

Amosov, G.G., Mokeev, A.S.

On Linear Structure of Non-commutative Operator Graphs

(2019) Lobachevskii Journal of Mathematics, 40 (10), pp. 1440-1443.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073500548&doi=10.1134%2fS1995080219100032&partnerID=40&md5=1dbe280cf050e37ce24b51c5786854d8

Amosov, G.G., Korennoy, Y.A.

On Definition of Quantum Tomography via the Sobolev Embedding Theorem

(2019) Lobachevskii Journal of Mathematics, 40 (10), pp. 1433-1439.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073443290&doi=10.1134%2fS1995080219100044&partnerID=40&md5=e472994d209531a9090d874211507a38

Amosov, G.G.

Algebraic Methods of the Study of Quantum Information Transfer Channels

(2019) Journal of Mathematical Sciences (United States), 241 (2), pp. 109-116.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85069916660&doi=10.1007%2fs10958-019-04411-w&partnerID=40&md5=93ee1feedddc762d8112a8e55e1918ac

Amosov, G.

On operator systems generated by reducible projective unitary representations ofcompact groups

(2019) Turkish Journal of Mathematics, 43 (5), pp. 2366-2370.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073164071&doi=10.3906%2fmat-1906-59&partnerID=40&md5=a0dfe21f414acb227685cf4ce0dfc140

Amosov, G.G., Mokeev, A.S.

On non-commutative operator graphs generated by covariant resolutions of identity

(2018) Quantum Information Processing, 17 (12), article № 325, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85055174021&doi=10.1007%2fs11128-018-2072-x&partnerID=40&md5=9544e8d6d604cbbd5304062fd59d1d4f

Amosov, G.G., Mokeev, A.S.

On Construction of Anticliques for Noncommutative Operator Graphs

(2018) Journal of Mathematical Sciences (United States), 234 (3), pp. 269-275.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85052729713&doi=10.1007%2fs10958-018-4002-y&partnerID=40&md5=1fec990a1ad47d9621bc890ad6108606

Amosov, G.G.

On General Properties of Non-Commutative Operator Graphs

(2018) Lobachevskii Journal of Mathematics, 39 (3), pp. 304-308.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85045650282&doi=10.1134%2fS1995080218030095&partnerID=40&md5=4e92babc70bd3718e25a6d422f8f165f

Amosov, G.G., Mancini, S., Manko, V.I.

Tomographic Portrait of Quantum Channels

(2018) Reports on Mathematical Physics, 81 (2), pp. 165-176.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85046714127&doi=10.1016%2fS0034-4877%2818%2930034-X&partnerID=40&md5=2f0835ac47a5b62cb79631cc6408ca01

Amosov, G.G., Mokeev, A.S.

On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group

(2018) International Journal of Theoretical Physics, . Article in Press.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85057562736&doi=10.1007%2fs10773-018-3963-4&partnerID=40&md5=9c034ce3ca3ddc132f8072fc3f4df806

Amosov, G.G.

On tomographic representation on the plane of the space of Schwartz operators and its dual

(2017) Lobachevskii Journal of Mathematics, 38 (4), pp. 595-599.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85024476322&doi=10.1134%2fS1995080217040023&partnerID=40&md5=baf11bace71173c8ab9a8360fa803ac0

Amosov, G.G., Filippov, S.N.

Spectral properties of reduced fermionic density operators and parity superselection rule

(2017) Quantum Information Processing, 16 (1), article № 2, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006070103&doi=10.1007%2fs11128-016-1467-9&partnerID=40&md5=a622f8612aeb7e8a666fa59d15d47265

Amosov, G.G., Zhdanovskiy, I.Y.

On the Noncommutative Deformation of the Operator Graph Corresponding to the Klein Group

(2016) Journal of Mathematical Sciences (United States), 215 (6), pp. 659-676.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84966642469&doi=10.1007%2fs10958-016-2872-4&partnerID=40&md5=3c3ae58ba530859ffc9322282c47c538

Amosov, G.G., Zhdanovskii, I.Y.

Structure of the algebra generated by a noncommutative operator graph which demonstrates the superactivation phenomenon for zero-error capacity

(2016) Mathematical Notes, 99 (5-6), pp. 924-927.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84977073685&doi=10.1134%2fS000143461605031X&partnerID=40&md5=2b33c2cfebb70dfd79879df75c319daf

Amosov, G.G., Sakbaev, V.Z.

Geometric properties of systems of vector states and expansion of states in pettis integrals

(2016) St. Petersburg Mathematical Journal, 27 (4), pp. 589-597.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978394036&doi=10.1090%2fspmj%2f1406&partnerID=40&md5=33d883029c62514055975b8f161aa690

Amosov, G.G., Dnestryan, A.I.

Towards a tomographic representation of quantum mechanics on the plane

(2015) Physica Scripta, 90 (7), article № 074025, 5 p.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84936864368&doi=10.1088%2f0031-8949%2f90%2f7%2f074025&partnerID=40&md5=68177684ab120284f539ea19c65b9078

Amosov, G.G.

Estimating the output entropy of a tensor product of two quantum channels

(2015) Theoretical and Mathematical Physics (Russian Federation), 182 (3), pp. 397-406.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84927169410&doi=10.1007%2fs11232-015-0270-6&partnerID=40&md5=0e96813eaad603397cb8622f854e63dc

Amosov, G.G., Dnestryan, A.I.

On the Entropy Gain Under the Action of the Amplitude Damping Channel on Qutrit

(2014) Journal of Russian Laser Research, 35 (3), pp. 291-294.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904987727&doi=10.1007%2fs10946-014-9425-4&partnerID=40&md5=71f1b7704274fee84687e0440e195d39

Amosov, G.G.

On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel

(2013) Problems of Information Transmission, 49 (3), pp. 224-231.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84888381138&doi=10.1134%2fS0032946013030022&partnerID=40&md5=0b2e8d3fc2d551417eb7d3d06f069cb6

Amosov, G.G., Sakbaev, V.Z.

On analogs of spectral decomposition of a quantum state

(2013) Mathematical Notes, 93 (3-4), pp. 351-359.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876432355&doi=10.1134%2fS0001434613030012&partnerID=40&md5=c21c1fbc71a4d353382cdbbc03c36fee

Amosov, G.G., Dnestryan, A.I.

Reconstruction of a pure state from incomplete information on its optical tomogram

(2013) Russian Mathematics, 57 (3), pp. 51-55.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876231479&doi=10.3103%2fS1066369X13030079&partnerID=40&md5=2c7c5ef2fad7a2e890e16dace5d793f1

Amosov, G.G., Sakbaev, V.Z., Smolyanov, O.G.

Linear and nonlinear liftings of states of quantum systems

(2012) Russian Journal of Mathematical Physics, 19 (4), pp. 417-427.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84871103337&doi=10.1134%2fS1061920812040024&partnerID=40&md5=691238ca5ec3f6ee224e0ed5e5aab3a7

Amosov, G.G., Korennoy, Y.A., Man’ko, V.I.

Calculating means of quantum observables in the optical tomography representation

(2012) Theoretical and Mathematical Physics, 171 (3), pp. 832-838.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84864098851&doi=10.1007%2fs11232-012-0078-6&partnerID=40&md5=7604e982dc22b863daba55143bebe1c4

Amosov, G.G., Korennoy, Ya.A., Man’Ko, V.I.

Description and measurement of observables in the optical tomographic probability representation of quantum mechanics

(2012) Physical Review A – Atomic, Molecular, and Optical Physics, 85 (5), article № 052119, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84861616498&doi=10.1103%2fPhysRevA.85.052119&partnerID=40&md5=ad84fb03bb92d99a6ce82c84c929766f

Amosov, G.G., Baranov, A.D., Kapustin, V.V.

On perturbations of the isometric semigroup of shifts on the semiaxis

(2011) St. Petersburg Mathematical Journal, 22 (4), pp. 515-528.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84871375745&doi=10.1090%2fS1061-0022-2011-01156-2&partnerID=40&md5=c9b78b5fea83ac3562b016490563f043

Amosov, G.G., Goranskaya, D., Traskunov, I.

Quantum tomography and kohn density functional theory

(2010) Journal of Russian Laser Research, 31 (3), pp. 232-238.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-77954864993&doi=10.1007%2fs10946-010-9140-8&partnerID=40&md5=b7089aacdd777d4bffc07836e66f416e

Amosov, G.G., Man’ko, V.I.

Characteristic functions of states in star-product quantization

(2009) Journal of Russian Laser Research, 30 (5), pp. 435-442.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-74449092000&doi=10.1007%2fs10946-009-9102-1&partnerID=40&md5=5068b239fc1d295fdb09e6c8b023a813

Amosov, G.G., Man’Ko, V.I.

A classical limit for the centerof-mass tomogram in view of the central limit theorem

(2009) Physica Scripta, 80 (2), article № 025006, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-70450164517&doi=10.1088%2f0031-8949%2f80%2f02%2f025006&partnerID=40&md5=2bf3b1e993f2ec02ed53f50dd4d97190

Amosov, G.G., Mancini, S.

The decreasing property of relative entropy and the strong superadditivity of quantum channels

(2009) Quantum Information and Computation, 9 (7-8), pp. 0594-0609.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-67651163586&partnerID=40&md5=5f5b55e35984d51f0b990a58e2685ef9

Amosov, G.G., Man’ko, V.I., Orlov, Yu.N.

Evolution equation of quantum tomograms for a driven oscillator in the case of the general linear quantization

(2009) Physica Scripta, 79 (1), article № 015004, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-66149129964&doi=10.1088%2f0031-8949%2f79%2f01%2f015004&partnerID=40&md5=b2cbc8097c1321d2ebf655eb60606ac9

Amosov, G.G., Mancini, S.

Entanglement from operators splitting

(2009) AIP Conference Proceedings, 1101, pp. 100-103.

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Amosov, G.G., Mancini, S., Man’ko, V.I.

On the information completeness of quantum tomograms

(2008) Physics Letters, Section A: General, Atomic and Solid State Physics, 372 (16), pp. 2820-2824.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-41249090417&doi=10.1016%2fj.physleta.2007.12.058&partnerID=40&md5=e8d4a6b324b1cdf875747c05b52a891d

Amosov, G.G.

Strong superadditivity conjecture holds for the quantum depolarizing channel in any dimension

(2007) Physical Review A – Atomic, Molecular, and Optical Physics, 75 (6), article № 060304, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-34547332978&doi=10.1103%2fPhysRevA.75.060304&partnerID=40&md5=ae8e6f885f9f1e690a966748648afece

Amosov, G.G.

On Weyl channels being covariant with respect to the maximum commutative group of unitaries

(2007) Journal of Mathematical Physics, 48 (1), article № 012104, .

https://www.scopus.com/inward/record.uri?eid=2-s2.0-34047164384&doi=10.1063%2f1.2406054&partnerID=40&md5=a8fb0702ca0b3f9a821039fc9e88fa48

Amosov, G.G.

On Markovian perturbations of quantum stochastic processes with stationary increments

(2006) Theory of Probability and its Applications, 50 (4), pp. 650-658.

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Amosov, G.G., Baranov, A.D.

On dilatation of contracting cocycles and perturbations of the group of shifts on the line by cocycles, II

(2006) Mathematical Notes, 79 (4-5), pp. 719-720.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-33747842728&doi=10.1007%2fs11006-006-0081-z&partnerID=40&md5=75a83a3e1daa1ec87651da089b227700

Amosov, G.G.

Remark on the additivity conjecture for a quantum depolarizing channel

(2006) Problems of Information Transmission, 42 (2), pp. 69-76.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-33745821222&doi=10.1134%2fS0032946006020013&partnerID=40&md5=80be709837d486c85d2c03572babf3e9

Amosov, G.G., Mancini, S., Manko, V.I.

Transmitting qudits through larger quantum channels

(2006) Journal of Physics A: Mathematical and General, 39 (13), pp. 3375-3380.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-33644955652&doi=10.1088%2f0305-4470%2f39%2f13%2f015&partnerID=40&md5=85d63ef1897342d38ff3f892fc750b4a

Amosov, G.G.

Evolution equations for Markov cocycles obtained by second quantization in the symplectic fock space

(2006) Theoretical and Mathematical Physics, 146 (1), pp. 152-157.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-31044444862&doi=10.1007%2fs11232-006-0015-7&partnerID=40&md5=6da971e2802f4677c0fee5050f2ee712

Amosov, G.G., Baranov, A.D.

Dilations of contraction cocycles and cocycle perturbations of the translation group of the line

(2006) Mathematical Notes, 79 (1-2), pp. 3-17.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-31844446635&doi=10.1007%2fs11006-006-0001-2&partnerID=40&md5=4e900387cb9b4f1ceedc9cabc9837765

Amosov, G.G.

On Markovian perturbations of the group of unitary operators associated with a stochastic process with stationary increments

(2005) Theory of Probability and its Applications, 49 (1), pp. 123-132.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-17544365230&doi=10.1137%2fS0040585X97980907&partnerID=40&md5=ccd0c859f95bd81ccc119fe0788a362b

Amosov, G.G., Man’ko, V.I.

Tomographic quantum measures for many degrees of freedom and the central limit theorem

(2005) Journal of Physics A: Mathematical and General, 38 (10), pp. 2173-2177.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-15544367040&doi=10.1088%2f0305-4470%2f38%2f10%2f008&partnerID=40&md5=6c2cb186edd3cb61e24b26eb06d67371

Amosov, G.G., Man’ko, V.I.

Evolution of probability measures associated with quantum systems

(2005) Theoretical and Mathematical Physics, 142 (2), pp. 306-310.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-15244357385&doi=10.1007%2fs11232-005-0077-y&partnerID=40&md5=18417239015b0c47a3bc20716e4f01e9

Amosov, G.G., Sakbaev, V.Zh.

On self-adjoint extensions of schrödinger operators degenerating on a pair of half-lines and the corresponding markovian cocycles

(2004) Mathematical Notes, 76 (3-4), pp. 315-322.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-5044237883&doi=10.1023%2fB%3aMATN.0000043458.91218.7b&partnerID=40&md5=1d58c0635039244a707edb5d02de2e7c

Amosov, G., Schuecker, P.

Non-Markov excursion set model of dark matter halo abundances

(2004) Astronomy and Astrophysics, 421 (2), pp. 425-432.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-3042767212&doi=10.1051%2f0004-6361%3a20034433&partnerID=40&md5=1cdf5a92114fa0dd63fcbe4fbdd054f2

Accardi, L., Amosov, G., Franz, U.

Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra

(2004) Infinite Dimensional Analysis, Quantum Probability and Related Topics, 7 (2), pp. 183-194.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-7444237031&doi=10.1142%2fS0219025704001542&partnerID=40&md5=53f7a7e65bea139c4622997343c9beb5

Amosov, G.G., Man’ko, V.I.

Quantum probability measures and tomographic probability densities

(2004) Journal of Russian Laser Research, 25 (3), pp. 253-266.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-3542998738&doi=10.1023%2fB%3aJORR.0000026783.29821.92&partnerID=40&md5=1cb7473e1134e3cfd659f455f6ce3137

Amosov, G.G., Baranov, A.D.

On perturbations of the group of shifts on the line by unitary cocycles

(2004) Proceedings of the American Mathematical Society, 132 (11), pp. 3269-3273.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-7444245654&doi=10.1090%2fS0002-9939-04-07423-4&partnerID=40&md5=5c81b92cb68093b14d01d96b44ed0b9c

Amosov, G.G.

On Markovian cocycle perturbations in classical and quantum probability

(2003) International Journal of Mathematics and Mathematical Sciences, 2003 (54), pp. 3443-3467.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-5044221954&doi=10.1155%2fS0161171203211200&partnerID=40&md5=a07d0e6f3d33ff20d8742d3d345fe559

Amosov, G.G., Man’ko, V.I.

Quantum probability measure for parametric oscillators

(2003) Physics Letters, Section A: General, Atomic and Solid-State Physics, 318 (4-5), pp. 287-291.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0242428864&doi=10.1016%2fj.physleta.2003.08.045&partnerID=40&md5=09cba695357ce9214dde3103cf6b94ab

Amosov, G.G., Holevo, A.S.

On the multiplicativity hypothesis for quantum communication channels

(2003) Theory of Probability and its Applications, 47 (1), pp. 123-127.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0037261972&doi=10.1137%2fS0040585X97979500&partnerID=40&md5=c6038849cb4746debf5a0d11dc0fe81b

Amosov, G.G., Amosov Jr., G.G., Rozanova, O.S.

Towards a mathematical model of the aortic reservoir

(2003) BioSystems, 71 (1-2), pp. 3-10.

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Amosov, G.G.

On cocycle conjugacy of quasifree endomorphism semigroups on the car algebra

(2001) Journal of Mathematical Sciences, 105 (6), pp. 2496-2503.

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Amosov, G.G., Holevo, A.S., Werner, R.F.

On the additivity hypothesis in quantum information theory

(2000) Problemy Peredachi Informatsii, 36 (4), pp. 25-34.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0001119866&partnerID=40&md5=605470897729ab35d59685a98bcea46e

Amosov, G.G.

Cocycle perturbation of quasifree algebraic k-flow leads to required asymptotic dynamics of associated completely positive semigroup

(2000) Infinite Dimensional Analysis, Quantum Probability and Related Topics, 3 (2), pp. 237-246.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0034394386&doi=10.1142%2fS0219025700000170&partnerID=40&md5=c4aa5b20164bb0b7f26825ca856bf71d

Amosov, G.G., Bulinskii, A.V.

The powers-arveson index for quasifree dynamical semigroups

(1997) Mathematical Notes, 62 (5-6), pp. 781-784.

https://www.scopus.com/inward/record.uri?eid=2-s2.0-27544466416&partnerID=40&md5=b926a83435f9692891769f3ffa312370

Amosov, G.G., Amosov, G.G., Tolpekin, V.E.

Role of the arterial reservoir during assisted circulation in acute heart failure [Znachenie “arterial’nogo rezervuara” v khode provedeniia vspomogatel’nogo krovoobrashcheniia pri ostroǐ serdechnoǐ nedostatochnosti.]

(1994) Anesteziologiya i Reanimatologiya, (3), pp. 40-42.

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