Topics in matrix analysis
Quantum computation and quantum information
Quantum computation and quantum information
Operator quantum error correction
Quantum Information & Computation
Multiaccess quantum communication and product higher rank numerical range
Quantum Information & Computation
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The higher rank numerical range is closely connected to the construction of quantum error correction code for a noisy quantum channel. It is known that if a normal matrix $A\in M_n$ has eigenvalues $a_1,\dots,a_n$, then its higher rank numerical range $\Lambda_k(A)$ is the intersection of convex polygons with vertices $a_{j_1},\dots,a_{j_{n-k+1}}$, where $1\leq j_1