Results 31 to 40 of about 19,389 (202)

Frustration, interaction strength and ground-state entanglement in complex quantum systems [PDF]

, 2004
Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian.
C. Davis, J. I. Latorre, J. Preskill, M. A. Nielsen, M. A. Nielsen, M. Horodecki, R. Bhatia   +6 more
core   +4 more sources

Monotonicity of unitarily invariant norms

Linear Algebra and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xue-Feng, Li, Ren-Cang
openaire   +1 more source

A class of unitarily invariant norms on 𝐵(𝐻) [PDF]

Proceedings of the American Mathematical Society, 2000
Let H H be a complex Hilbert space and let B ( H ) B(H) be the algebra of all bounded linear operators on H H . For c = ( c 1 , … , c k
Chan, JT, Tu, CCN, Li, CK
openaire   +2 more sources

Generalized Induced Norms [PDF]

, 2004
Let ||.|| be a norm on the algebra M_n of all n-by-n matrices over the complex field C. An interesting problem in matrix theory is that "are there two norms ||.||_1 and ||.||_2 on C^n such that ||A||=max{||Ax||_2: ||x||_1=1} for all A in M_n.
C.-K. Li, G. R. Belitskii, M. Mirzavaziri, M. S. Moslehian, R. A. Horn, R. Bhatia, S. Hejazian, W. Rudin   +7 more
core   +2 more sources

Information preserving structures: A general framework for quantum zero-error information [PDF]

, 2010
Quantum systems carry information. Quantum theory supports at least two distinct kinds of information (classical and quantum), and a variety of different ways to encode and preserve information in physical systems. A system's ability to carry information
A. Granas, C. E. Shannon, C. E. Shannon, C. E. Shannon, C. W. Helstrom, D. Kribs, David Poulin, Hui Khoon Ng, J. A. Wheeler, K. Davidson, K. Hoffman, K. Kraus, Lorenza Viola, M. A. Nielsen, R. Alicki, Robin Blume-Kohout, T. M. Cover   +16 more
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Submultiplicativity vs subadditivity for unitarily invariant norms

Linear Algebra and its Applications, 2004
The authors prove that if \(A\) and \(B\) are two \(n\)-by-\(n\) nonzero positive semidefinite matrices and \(\|\cdot\|\) is a unitarily invariant norm on matrices satisfying \(\|\text{diag}(1,0,\dots, 0)\|\geq 1\), then the inequalities \[ {\| AB\|\over\| A\|\,\| B\|}\leq {\| A+ B\|\over\| A\|+\| B\|}\quad\text{and}\quad {\| A\circ B\|\over \| A\|\,\|
Hiai, Fumio, Zhan, Xingzhi
openaire   +2 more sources

Operator theory and function theory in Drury-Arveson space and its quotients [PDF]

, 2014
The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module.
A Arias, A Arias, A Athavale, A Athavale, A Beurling, A Volberg, AE Frazho, BVR Bhat, C Ambrozie, C Ambrozie, D Alpay, D Alpay, D Alpay, D Sarason, DC Greene, DW Kribs, E Tchoundja, F-H Vasilescu, G Popescu, G Popescu, G Popescu, G Popescu, G Popescu, G Popescu, GM Henkin, J Agler, J Agler, J Arazy, J Eschmeier, J Eschmeier, J Gleason, J Neumann von, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JM Ortega, JW Bunce, K Guo, K Guo, KC Lin, KR Davidson, KR Davidson, KR Davidson, KR Davidson, KR Davidson, KR Davidson, L Carleson, L Carleson, M Andersson, M Hartz, M Kennedy, M Kerr, N Arcozzi, NTh Varopoulos, NTh Varopoulos, OM Shalit, OM Shalit, P Quiggin, PD Lax, PR Halmos, PS Muhly, PS Muhly, PS Muhly, Q Fang, Q Fang, RG Douglas, RG Douglas, RG Douglas, S Costea, S McCullough, S McCullough, S Richter, S Treil, SG Krantz, SW Drury, T Andô, TT Trent, V Bolotnikov, V Müller, W Rudin, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WF Stinespring, X Fang, Z Chen   +93 more
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Catalytic majorization and $\ell_p$ norms [PDF]

, 2007
An important problem in quantum information theory is the mathematical characterization of the phenomenon of quantum catalysis: when can the surrounding entanglement be used to perform transformations of a jointly held quantum state under LOCC (local ...
Aubrun, Guillaume, Nechita, Ion
core   +2 more sources

Volume ratio, sparsity, and minimaxity under unitarily invariant norms [PDF]

2013 IEEE International Symposium on Information Theory, 2013
The current paper presents a novel machinery for studying non-asymptotic minimax estimation of high-dimensional matrices, which yields tight minimax rates for a large collection of loss functions in a variety of problems. Based on the convex geometry of finite-dimensional Banach spaces, we first develop a volume ratio approach for determining minimax ...
Ma, Zongming, Wu, Yihong
openaire   +3 more sources

Recent progress on truncated Toeplitz operators [PDF]

, 2012
This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason's seminal paper in 2007.Comment: 46 ...
Garcia, Stephan Ramon, Ross, William T.
core   +3 more sources