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Joint higher rank numerical range of Pauli group
Linear and Multilinear Algebra, 2014For a noisy quantum channel, a quantum error correction code of dimension k exists if and only if the joint rank- numerical range associated with the error operators of the channel is non-empty. In this paper, the joint rank- numerical range of an -tuple of elements in the -qubit Pauli group are discussed.
Sayyed Ahmad Mousavi, Abbas Salemi
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Joint numerical ranges of operators in semi-Hilbertian spaces
Linear Algebra and its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamadi Baklouti +2 more
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Uncertainty relations on the joint numerical range of operators
Journal of Physics A: Mathematical and Theoretical, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Certain (Nearly) Convex Joint Numerical Ranges
1993Let H be a complex Hilbert space with scalar product denoted (··), and let L(H) denote the algebra of bounded linear operators on H. For a family r = {T i : i ∈ J} ⊂ L(H) one defines the joint numerical range W(τ) by $$ W\left( \tau \right) = \left\{ {\left\{ {\langle {{{\text{T}}}_{i}}x,x\rangle :x \in H,\left\| x \right\| = 1} \right.} \right\} $$
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The Joint Numerical Range of Bordered and Tridiagonal Matrices
2002Let Am (m = 1, …, k) be n × n matrices, the joint numerical range is defined by $$JNR[{A_1}, \ldots ,{A_k}] = \left\{ {\left( {{x^*}{A_1}x, \ldots ,{A_k}x} \right):x \in {C^n},\parallel x\parallel = 1} \right\}.$$ In this paper, some geometric properties of JNR are presented, when the hermitian Am are bordered or (2μ–C1)–Cdiagonal matrices and ...
Maria Adam, John Maroulas
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The evolving landscape of salivary gland tumors
Ca-A Cancer Journal for Clinicians, 2023Conor Steuer
exaly
Top-down control of hippocampal signal-to-noise by prefrontal long-range inhibition
Cell, 2022Ruchi Malik, Vikaas S Sohal
exaly
On the Role of Competing Interactions in Charged Colloids with Short-Range Attraction
Annual Review of Condensed Matter Physics, 2021Emanuela Zaccarelli
exaly

