Inequality between independence numbers(one-shot zero-error capacity) The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Inequality between $ell^p$-normsinequality between norms of vectorInequality for compact operator between Banach spacesDoes an inequality between kernels imply an inequality between the norms of integral operators?Inequality error possibly. How are two inequalities equal?Inequality in normed linear space implies independenceInequality on embedding between spacesRelation between norm inequality and seminorm inequalitySobolev inequality in one dimensionWhy can input states $rho_m$ be chosen to be rank-one operators in Zero-error communication?
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Inequality between independence numbers(one-shot zero-error capacity)
The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Inequality between $ell^p$-normsinequality between norms of vectorInequality for compact operator between Banach spacesDoes an inequality between kernels imply an inequality between the norms of integral operators?Inequality error possibly. How are two inequalities equal?Inequality in normed linear space implies independenceInequality on embedding between spacesRelation between norm inequality and seminorm inequalitySobolev inequality in one dimensionWhy can input states $rho_m$ be chosen to be rank-one operators in Zero-error communication?
$begingroup$
I had a question when I was studying the Entanglement-Assisted Independence Number $tildealpha(S)$, where $S$ is a operator system.
In the inserted figure, the high-lighted sentence said that the inequality $theta$(s)$le$ $tildetheta(S)$ gives an effect to the first inequality.
But I don't understand this logic.
As in the page 6 of the paper
Duan, Runyao; Severini, Simone; Winter, Andreas, Zero-error communication via quantum channels, noncommutative graphs, and a quantum Lovász number, IEEE Trans. Inf. Theory 59, No. 2, 1164-1174 (2013). ZBL1364.81059,
I guess the first inequality in the figure may be shown by using Stinespring dilation.
Why can the logic in the figure hold??
(Here, the $theta$-function means the Lova'sz $theta$-function.)
functional-analysis quantum-information
asked Mar 31 at 5:13
NNNNNNNN
6501820
$endgroup$
add a comment |
$begingroup$
I had a question when I was studying the Entanglement-Assisted Independence Number $tildealpha(S)$, where $S$ is a operator system.
In the inserted figure, the high-lighted sentence said that the inequality $theta$(s)$le$ $tildetheta(S)$ gives an effect to the first inequality.
But I don't understand this logic.
As in the page 6 of the paper
Duan, Runyao; Severini, Simone; Winter, Andreas, Zero-error communication via quantum channels, noncommutative graphs, and a quantum Lovász number, IEEE Trans. Inf. Theory 59, No. 2, 1164-1174 (2013). ZBL1364.81059,
I guess the first inequality in the figure may be shown by using Stinespring dilation.
Why can the logic in the figure hold??
(Here, the $theta$-function means the Lova'sz $theta$-function.)
functional-analysis quantum-information
asked Mar 31 at 5:13
NNNNNNNN
6501820
$endgroup$
add a comment |
$begingroup$
I had a question when I was studying the Entanglement-Assisted Independence Number $tildealpha(S)$, where $S$ is a operator system.
In the inserted figure, the high-lighted sentence said that the inequality $theta$(s)$le$ $tildetheta(S)$ gives an effect to the first inequality.
But I don't understand this logic.
As in the page 6 of the paper
Duan, Runyao; Severini, Simone; Winter, Andreas, Zero-error communication via quantum channels, noncommutative graphs, and a quantum Lovász number, IEEE Trans. Inf. Theory 59, No. 2, 1164-1174 (2013). ZBL1364.81059,
I guess the first inequality in the figure may be shown by using Stinespring dilation.
Why can the logic in the figure hold??
(Here, the $theta$-function means the Lova'sz $theta$-function.)
functional-analysis quantum-information
asked Mar 31 at 5:13
NNNNNNNN
6501820
$endgroup$
I had a question when I was studying the Entanglement-Assisted Independence Number $tildealpha(S)$, where $S$ is a operator system.
In the inserted figure, the high-lighted sentence said that the inequality $theta$(s)$le$ $tildetheta(S)$ gives an effect to the first inequality.
But I don't understand this logic.
As in the page 6 of the paper
Duan, Runyao; Severini, Simone; Winter, Andreas, Zero-error communication via quantum channels, noncommutative graphs, and a quantum Lovász number, IEEE Trans. Inf. Theory 59, No. 2, 1164-1174 (2013). ZBL1364.81059,
I guess the first inequality in the figure may be shown by using Stinespring dilation.
Why can the logic in the figure hold??
(Here, the $theta$-function means the Lova'sz $theta$-function.)
functional-analysis quantum-information
functional-analysis quantum-information
asked Mar 31 at 5:13
NNNNNNNN
6501820
asked Mar 31 at 5:13
NNNNNNNN
6501820
asked Mar 31 at 5:13
NNNNNNNN
6501820
asked Mar 31 at 5:13
NNNNNNNN
6501820
asked Mar 31 at 5:13
NNNNNNNN
6501820
6501820
add a comment |
add a comment |
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