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Joint higher rank numerical range of Pauli group

Linear and Multilinear Algebra, 2014
For 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
openaire   +1 more source

Joint numerical ranges of operators in semi-Hilbertian spaces

Linear Algebra and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamadi Baklouti   +2 more
openaire   +1 more source

Uncertainty relations on the joint numerical range of operators

Journal of Physics A: Mathematical and Theoretical, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Certain (Nearly) Convex Joint Numerical Ranges

1993
Let 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 $$ W\left( \tau \right) = \left\{ {\left\{ {\langle {{{\text{T}}}_{i}}x,x\rangle :x \in H,\left\| x \right\| = 1} \right.} \right\} $$
openaire   +1 more source

The Joint Numerical Range of Bordered and Tridiagonal Matrices

2002
Let 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
openaire   +1 more source

The evolving landscape of salivary gland tumors

Ca-A Cancer Journal for Clinicians, 2023
Conor Steuer
exaly  

Long-range interacting quantum systems

Reviews of Modern Physics, 2023
Nicolo Defenu   +2 more
exaly  

On the Role of Competing Interactions in Charged Colloids with Short-Range Attraction

Annual Review of Condensed Matter Physics, 2021
Emanuela Zaccarelli
exaly  

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