Density Matrices
Optimal Estimation of Low Rank Density Matrices
... The density matrices are positively semi-definite Hermitian matrices of unit trace that describe the state of a quantum ...rank density matrices in trace regression models used in ...
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Entropic Updating of Probability and Density Matrices
... be found using our quantum relative entropy with a suitable uniform prior density matrix.. 27.[r] ...
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Symmetric Laplacians, quantum density matrices and their Von Neumann entropy
... The mathematical theory of quantum mechanics allows us to view quantum states of finite-dimensional systems as Hermitian, positive semi-definite matrices with unit trace [1]. It is also known that the ...
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Propagation of quantum correlations after a quench in the Mott-insulator regime of the Bose-Hubbard model
... As an outlook, our method can be extended easily to inhomogeneous lattices with man- ageable computational overhead - which facilitates taking into account the trap potential as well as disorder potentials. Even though ...
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The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator
... α (20) and (7d) becomes (17b) at k=1/2. The reduced density matrices take the same format as those presented in equations (18a-d). The maximum and least traces corresponding to (18a-d) under critical ...
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Cumulant Structure Factors of Jellium
... Searching in this direction, one immediately encounters the hierarchy of the reduced density matrices (RDMs) and their cumulant decomposition. (The concept of RDM is of great importance in quantum ...
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Multidimensional entanglement transport through single-mode fiber
... Additional results of mode spectrum, tomography measurements and reconstructed density matrices for subspace in free space and subspace after transmitting through 2 m of SMF Additional r[r] ...
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Hamacher Sum and Hamacher Product of Fuzzy Matrices
... The paper is organized in three sections. In section 2,we give the basic definitions and operations on fuzzy matrices which will be used in this paper. In section 3, we introduce the hamacher operations on fuzzy ...
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Quantum time evolution in terms of nonredundant probabilities
... a density matrix by expectation values suggests a conceptually interesting way to describe the time evolution of a quantum system without invoking its density matrix or wave ...
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Uncertainty Weight Generation Approach Based on Uncertainty Comparison Matrices
... comparison matrices and fuzzy matrices, which are transformed into uncertainty comparison matrices using linear uncertainty distribution and zigzag uncertainty distribution respec- ...
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3A Operations with matrices 3B Multiplying matrices 3C Powers of a matrix 3D Multiplicative inverse and solving matrix equations 3E The transpose of a matrix 3F Applications of matrices 3G Dominance matrices
... in matrices is an extension of our number system and, as we will see, the rules that govern matrix calculations have many similarities with the arithmetic of ...numbers. Matrices are particularly useful in ...
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Statistically strongly regular matrices and some core theorems
... For any two sequence spaces X and Y , we denote by (X,Y ) a class of matrices A such that Ax ∈ Y for x ∈ X , provided that the series on the right of (1.8) converges for each n . If, in addition, lim Ax = lim x , ...
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Selection Criteria of Measurement Matrix for Compressive Sensing Based Medical Image Reconstruction
... In this paper, we use CS for medical image reconstruction to improve the speed and efficiency of compression of an image. The matrix that satisfies the condition of RIP or incoherence is chosen as medical image ...
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Application of Matrices
... abstract matrices, i.e., matrices of symbolic dimension with underspecified ...abstract matrices composed of arbitrary regions in a single term that supports matrix addition and multiplication by ...
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Netted matrices
... netted matrices defined using three-term or four-term recurrences with constant coefficients (we call these 3- or 4-netted matrices) preserve a four-term recurrence among the entries of their ...
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3 Matrices
... 5 Two children spend their pocket money buying books and CDs. One child spends $120 and buys four books and four CDs. The other child buys three CDs and five books and spends $114. Set up a system of simultaneous ...
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Low Complexity Pipelined FFT Design for High Throughput and Low Density Applications
... Rotator allocation simply consists of reorganizing the matrices of indexes and, therefore, the matrices of rotations, in such a way that the matrices of rotations have less rotators if p[r] ...
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Balanced matrices
... The fa t that total unimodularity implies balan edness follows, for example, from Camion's theorem [11℄ whi h states that a 0; 1 matrix A is totally unimodular if and only if A does not [r] ...
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Inequalities For Singular Values And Traces Of Quaternion Hermitian Matrices
... Keywords: Hermitian Matrices, Quaternian Matrices, Singular value, Trace of Matrix, Triple Complex Matrices... Page 121 www.ijiras.com | Email: contact@ijiras.com The proof is complete[r] ...
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Structural and optical properties of germanium nanostructures on Si(100) and embedded in high k oxides
... thermal annealing at high temperatures. It is observed that when annealed at 800°C, which is well below the melting temperature of Ge (938.3°C), only Ge nucleation occurs. Whereas for both 900°C annealed samples (A- 900 ...
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